Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods

In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artifici...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Archive of applied mechanics (1991) Ročník 93; číslo 4; s. 1351 - 1372
Hlavní autoři:	Turan, Muhittin, Uzun Yaylacı, Ecren, Yaylacı, Murat
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023 Springer Nature B.V
Témata:	Artificial neural networks Boundary conditions Buckling Civil engineering Classical Mechanics Composite materials Engineering Equations of motion Exact solutions Finite element method Free vibration Functionally gradient materials Mathematical analysis Methods Neural networks Numerical analysis Original Polynomials Porosity Power law Resonant frequencies Shear deformation Shear strain Theoretical and Applied Mechanics Vibration analysis Finite element method Artificial neural network Free vibration Buckling Ritz-based analytical solution Functionally graded porous beam
ISSN:	0939-1533, 1432-0681
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Abstract	In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artificial neural network (ANN) methods. Here a Ritz-based analytical solution is used, and different polynomial series functions are proposed for each boundary condition. Lagrange's principle was used while deriving the equations of motion. A power-law rule describes the variation of the beam's materials in volume. The normalized fundamental frequencies and critical buckling loads are obtained for various boundary conditions, power-law index ( k ), slenderness ( L/h ), porosity coefficient ( e ), and porosity distribution (FGM-P1, FGM-P2). The polynomial series functions used in this study were verified with the literature, and the numerical results obtained were compared with FEM and ANN. The results obtained are quite compatible with each other.
AbstractList	In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artificial neural network (ANN) methods. Here a Ritz-based analytical solution is used, and different polynomial series functions are proposed for each boundary condition. Lagrange's principle was used while deriving the equations of motion. A power-law rule describes the variation of the beam's materials in volume. The normalized fundamental frequencies and critical buckling loads are obtained for various boundary conditions, power-law index ( k ), slenderness ( L/h ), porosity coefficient ( e ), and porosity distribution (FGM-P1, FGM-P2). The polynomial series functions used in this study were verified with the literature, and the numerical results obtained were compared with FEM and ANN. The results obtained are quite compatible with each other. In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artificial neural network (ANN) methods. Here a Ritz-based analytical solution is used, and different polynomial series functions are proposed for each boundary condition. Lagrange's principle was used while deriving the equations of motion. A power-law rule describes the variation of the beam's materials in volume. The normalized fundamental frequencies and critical buckling loads are obtained for various boundary conditions, power-law index (k), slenderness (L/h), porosity coefficient (e), and porosity distribution (FGM-P1, FGM-P2). The polynomial series functions used in this study were verified with the literature, and the numerical results obtained were compared with FEM and ANN. The results obtained are quite compatible with each other.
Author	Turan, Muhittin Yaylacı, Murat Uzun Yaylacı, Ecren
Author_xml	– sequence: 1 givenname: Muhittin orcidid: 0000-0002-5703-0580 surname: Turan fullname: Turan, Muhittin organization: Department of Civil Engineering, Bayburt University – sequence: 2 givenname: Ecren orcidid: 0000-0002-2558-2487 surname: Uzun Yaylacı fullname: Uzun Yaylacı, Ecren organization: Surmene Faculty of Marine Science, Karadeniz Technical University – sequence: 3 givenname: Murat orcidid: 0000-0003-0407-1685 surname: Yaylacı fullname: Yaylacı, Murat email: murat.yaylaci@erdogan.edu.tr organization: Department of Civil Engineering, Recep Tayyip Erdogan University
BookMark	eNp9kM9O4zAQhy3ESpSyL7AnS1wJjO0kTY4I8WclpL0sZ2uSjLuG1C62Q9Un4LVx25WQOHAYzUj-vvHod8qOnXfE2C8BlwJgcRUBStEWIGUupWSxOWIzUeYB6kYcsxm0qi1EpdQJO43xGTJfSZix97tAxN9sFzBZ7zi6gXdT_zJat-TecDO5fveA47jly4ADDXztg58i7whXkU9xR2IGtsn2OF5wY51NxGmkFbl0sV-JIVlje4sjdzSFfUsbH174itI_P8Qz9sPgGOnn_z5nT3e3f28eisc_979vrh-LXok2FbI0EqsBatVK0XZQ1YiqbBalqtVigU1XKmx6KYDqBrtaCGEGQFMb1dJQd5Was_PD3nXwrxPFpJ_9FPL1UStZtQBVUzaZkgeqDz7GQEavg11h2GoBehe4PgSuc-B6H7jeZKn5IvU27VNNAe34vaoOasz_uCWFz6u-sT4Ae5OZ0A
CitedBy_id	crossref_primary_10_1016_j_cam_2025_116904 crossref_primary_10_1007_s42417_023_01040_1 crossref_primary_10_1063_5_0218730 crossref_primary_10_1007_s43452_024_00943_4 crossref_primary_10_1007_s00707_024_04046_2 crossref_primary_10_1007_s42417_024_01647_y crossref_primary_10_1007_s00419_024_02611_8 crossref_primary_10_1007_s42417_023_01146_6 crossref_primary_10_1007_s42417_023_01148_4 crossref_primary_10_1080_15397734_2025_2454343 crossref_primary_10_1080_15376494_2023_2242858 crossref_primary_10_2140_jomms_2024_19_453 crossref_primary_10_1007_s00419_025_02779_7 crossref_primary_10_1007_s43452_023_00858_6 crossref_primary_10_1016_j_neucom_2024_129119 crossref_primary_10_1007_s00419_025_02796_6 crossref_primary_10_1134_S0025654425600254 crossref_primary_10_1080_15397734_2023_2174134 crossref_primary_10_1007_s40996_024_01508_4 crossref_primary_10_1007_s10665_024_10401_y crossref_primary_10_1007_s40996_023_01334_0 crossref_primary_10_1016_j_ast_2025_110024 crossref_primary_10_1007_s43452_024_00894_w crossref_primary_10_1080_15397734_2024_2353876 crossref_primary_10_3390_math13182957 crossref_primary_10_1007_s00419_024_02665_8 crossref_primary_10_1016_j_conbuildmat_2025_141068 crossref_primary_10_1016_j_aei_2024_103044 crossref_primary_10_1007_s10483_025_3197_8 crossref_primary_10_1007_s40571_024_00787_y crossref_primary_10_1016_j_est_2024_114544 crossref_primary_10_3390_ma17133080 crossref_primary_10_1080_15397734_2024_2448715 crossref_primary_10_1007_s40571_024_00802_2 crossref_primary_10_1016_j_tafmec_2024_104485 crossref_primary_10_1007_s11831_023_10003_4 crossref_primary_10_1016_j_rineng_2024_102585 crossref_primary_10_1007_s00419_024_02708_0 crossref_primary_10_1016_j_compstruc_2025_107676 crossref_primary_10_1016_j_mtcomm_2024_111269 crossref_primary_10_1002_zamm_202400478 crossref_primary_10_1016_j_tws_2024_112072 crossref_primary_10_1134_S1029959924040106 crossref_primary_10_63463_kjes1131 crossref_primary_10_1007_s40996_024_01482_x crossref_primary_10_1007_s00419_023_02469_2 crossref_primary_10_1007_s42417_025_01851_4 crossref_primary_10_1016_j_tws_2024_112667 crossref_primary_10_1016_j_mechrescom_2025_104483 crossref_primary_10_1051_e3sconf_202450701055 crossref_primary_10_1080_15397734_2025_2507098 crossref_primary_10_1007_s00707_024_03860_y crossref_primary_10_1007_s13369_024_09729_5 crossref_primary_10_1007_s11043_024_09682_8 crossref_primary_10_1080_15397734_2024_2303658 crossref_primary_10_1007_s00707_024_03865_7 crossref_primary_10_1080_15397734_2024_2373265 crossref_primary_10_1007_s00419_025_02877_6 crossref_primary_10_1007_s00419_023_02474_5 crossref_primary_10_1007_s40571_024_00762_7 crossref_primary_10_1063_5_0191034 crossref_primary_10_1007_s40571_024_00786_z crossref_primary_10_1016_j_euromechsol_2024_105299 crossref_primary_10_1016_j_rineng_2024_101945 crossref_primary_10_1080_15376494_2023_2263005 crossref_primary_10_1007_s42417_025_01954_y
Cites_doi	10.1016/j.compositesb.2016.10.039 10.1007/s11012-014-0094-8 10.12989/scs.2022.43.5.661 10.1002/zamm.202100287 10.1007/s00419-021-01999-x 10.17341/gazimmfd.599928 10.1016/j.matpr.2021.09.387 10.12989/CAC.2020.26.3.285 10.12989/anr.2022.12.4.405 10.12989/sem.2022.84.1.035 10.1016/j.petlm.2018.12.002 10.1007/s00419-021-02087-w 10.1016/j.injury.2022.10.003 10.1016/j.pnucene.2021.103692 10.1007/s00707-010-0391-9 10.1016/j.euromechsol.2019.103915 10.1016/j.compstruct.2021.114996 10.1007/s00419-018-1460-0 10.1016/j.compositesb.2018.04.011 10.1007/s00419-022-02231-0 10.1007/s00419-021-02015-y 10.1016/j.compstruct.2021.115095 10.1007/s00419-003-0302-9 10.1016/j.compstruct.2013.04.010 10.1016/j.injury.2022.05.037 10.1016/j.matdes.2016.12.061 10.1016/j.compstruct.2021.114564 10.12989/sem.2022.82.3.401 10.12989/sem.2016.57.6.1143 10.1016/j.engstruct.2019.109441 10.1007/s00419-022-02159-5 10.1016/j.ast.2015.05.006 10.1007/s00366-020-01018-7 10.1007/s12517-018-3579-2 10.1007/s00500-016-2426-1 10.1007/s11012-015-0208-y 10.1080/0952813X.2013.782346 10.12989/cac.2020.25.6.551ç 10.1007/s12205-016-0149-6 10.28991/cej-2019-03091398 10.1080/15376494.2021.1979140 10.12989/sem.2019.69.2.231 10.1016/j.mechmat.2020.103730 10.1007/s00419-022-02168-4 10.12989/scs.2019.30.6.603 10.1080/15376494.2014.981617 10.1007/s11709-018-0466-6 10.1007/s00419-020-01850-9 10.1007/s00419-019-01534-z 10.1016/j.fm.2005.09.011 10.1007/s00419-022-02190-6 10.1016/j.compstruct.2015.07.052 10.1016/j.eswa.2011.04.149
ContentType	Journal Article
Copyright	The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.
Copyright_xml	– notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.
DBID	AAYXX CITATION 8FE 8FG ABJCF AFKRA ARAPS BENPR BGLVJ CCPQU D1I DWQXO HCIFZ KB. L6V M7S P5Z P62 PDBOC PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS
DOI	10.1007/s00419-022-02332-w
DatabaseName	CrossRef ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection (subscription) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Technology collection ProQuest One Community College ProQuest Materials Science Collection ProQuest Central SciTech Premium Collection Materials Science Database ProQuest Engineering Collection Engineering Database (subscription) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection Materials Science Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering collection
DatabaseTitle	CrossRef Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection Materials Science Collection SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea Materials Science Database ProQuest Central (New) Engineering Collection ProQuest Materials Science Collection Advanced Technologies & Aerospace Collection Engineering Database ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Academic ProQuest One Academic (New)
DatabaseTitleList	Technology Collection
Database_xml	– sequence: 1 dbid: KB. name: Materials Science Database url: http://search.proquest.com/materialsscijournals sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1432-0681
EndPage	1372
ExternalDocumentID	10_1007_s00419_022_02332_w
GroupedDBID	-5B -5G -BR -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 1N0 2.D 203 23M 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDZT ABECU ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACUHS ACZOJ ADHIR ADIMF ADINQ ADKNI ADKPE ADMLS ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AOCGG ARCEE ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I-F I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW LAS LLZTM M4Y MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM P19 P2P P9P PF0 PT4 PT5 QOK QOS R89 R9I RHV RIG RNI RNS ROL RPX RSV RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SCV SDH SDM SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z83 Z86 Z88 Z8M Z8N Z8R Z8S Z8T Z8W ZMTXR ZY4 _50 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABJCF ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFKRA AFOHR AGQPQ AHPBZ AHWEU AIXLP ARAPS ATHPR AYFIA BENPR BGLVJ CCPQU CITATION HCIFZ KB. M7S PDBOC PHGZM PHGZT PQGLB PTHSS 8FE 8FG D1I DWQXO L6V P62 PKEHL PQEST PQQKQ PQUKI PRINS
ID	FETCH-LOGICAL-c319t-24f2a5d0639219b056aa3487436377a8b43a8c210e68ab6111fd0af6f39ed6b53
IEDL.DBID	M7S
ISICitedReferencesCount	115
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000895571000001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0939-1533
IngestDate	Fri Oct 10 03:41:10 EDT 2025 Sat Nov 29 03:42:30 EST 2025 Tue Nov 18 21:02:41 EST 2025 Fri Feb 21 02:44:52 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	4
Keywords	Finite element method Artificial neural network Free vibration Buckling Ritz-based analytical solution Functionally graded porous beam
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c319t-24f2a5d0639219b056aa3487436377a8b43a8c210e68ab6111fd0af6f39ed6b53
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0003-0407-1685 0000-0002-5703-0580 0000-0002-2558-2487
PQID	3259005848
PQPubID	2043580
PageCount	22
ParticipantIDs	proquest_journals_3259005848 crossref_primary_10_1007_s00419_022_02332_w crossref_citationtrail_10_1007_s00419_022_02332_w springer_journals_10_1007_s00419_022_02332_w
PublicationCentury	2000
PublicationDate	20230400 2023-04-00 20230401
PublicationDateYYYYMMDD	2023-04-01
PublicationDate_xml	– month: 4 year: 2023 text: 20230400
PublicationDecade	2020
PublicationPlace	Berlin/Heidelberg
PublicationPlace_xml	– name: Berlin/Heidelberg – name: Heidelberg
PublicationTitle	Archive of applied mechanics (1991)
PublicationTitleAbbrev	Arch Appl Mech
PublicationYear	2023
Publisher	Springer Berlin Heidelberg Springer Nature B.V
Publisher_xml	– name: Springer Berlin Heidelberg – name: Springer Nature B.V
References	Ebrahimi, Ghasemi, Salari (CR3) 2016; 51 Soomro, Alamir, El-Sapa, Ul-Haq, Soomro (CR45) 2022; 92 Yaylacı (CR34) 2016; 57 Avcar, Khalid (CR18) 2018 Güvercin, Abdioğlu, Dizdar, Uzun Yaylacı, Yaylacı (CR28) 2022 Mytsyk, Hembara, Shchepanskyi (CR57) 2022; 92 Yaylacı, Şengül Şabano, Özdemir, Birinci (CR36) 2022; 82 Hajmeer, Basheer, Cliver (CR50) 2006; 23 Kitipornchai, Chen, Yang (CR5) 2017; 116 Pardo, Pérez, Lorenzo, de Oliveira Lira (CR30) 2021 de Assis, Gomes (CR47) 2021; 91 Vincenzo, Malgioglio, Landi (CR31) 2021 He, Chang, Pang, Sun, Yin, Li (CR55) 2022 Lezgy-Nazargah, Vidal, Polit (CR13) 2013; 104 Uzun Yaylacı, Yaylacı, Ölmez, Birinci (CR42) 2020 Vo-Duy, Ho-Huu, Nguyen-Thoi (CR17) 2019; 13 CR48 Turan, Kahya (CR10) 2021; 36 Wattanasakulpong, Chaikittiratana (CR1) 2015; 50 Fathipour-Azar (CR56) 2022; 92 Nguyen, Nguyen, Nguyen, Vo (CR11) 2022 Hadji, Zouatnia, Bernard (CR7) 2019; 69 Yaylacı (CR33) 2022; 12 Yaylacı, Abanoz, Uzun Yaylacı, Ölmez, Sekban, Birinci (CR26) 2022; 43 Lezgy-Nazargah, Shariyat, Beheshti-Aval (CR12) 2011; 217 Mottaghian, Darvizeh, Alijani (CR40) 2019; 89 Kahya, Turan (CR16) 2018; 146 Abdoun, Azrar (CR23) 2021; 91 Fath, Madanifar, Abbasi (CR51) 2020; 6 Yas, Kamarian, Pourasghar (CR46) 2014; 26 CR52 Kahya, Turan (CR15) 2017; 109 AlSaid-Alwan, Avcar (CR21) 2020; 26 Chen, Guo, Wu (CR32) 2003; 73 Taşkın, Demirhan (CR8) 2020; 8 Lezgy-Nazargah (CR39) 2016; 23 Gao, Li, Yang (CR6) 2019; 197 Ghouilem, Mehaddene, Ghouilem, Kadri, Boulifa (CR35) 2021 Avcar (CR19) 2019; 30 Labusch, Lemke, Schmitz-Antoniak, Schröder, Webers, Wende (CR27) 2019; 89 Youzera, Meftah, Selim, Tounsi (CR20) 2021 Yaylacı, Eyüboğlu, Adıyaman, Uzun Yaylacı, Öner, Birinci (CR43) 2021 Chen, Yang, Kitipornchai (CR2) 2015; 133 Trujillo, Alarcon, Dalmau, Ojeda (CR49) 2021; 21 Orhan, Hekim, Ozer (CR53) 2011; 38 Lezgy-Nazargah (CR38) 2015; 45 Öner, Şengül Şabano, Uzun Yaylacı, Adıyaman, Yaylacı, Birinci (CR44) 2022 Erdurcan, Cunedioğlu (CR24) 2021; 91 Al Rjoub, Hamad (CR4) 2017; 21 Uzun Yaylacı, Öner, Yaylacı, Özdemir, Abushattal, Birinci (CR25) 2022; 84 Yaylacı, Abanoz, Yaylacı, Ölmez, Sekban, Birinci (CR37) 2022; 92 Jena, Chakraverty, Malikan (CR9) 2021; 37 Cun, Denker, Solla (CR54) 1990; 2 Lezgy-Nazargah, Vidal, Polit (CR14) 2020 Avcar, Hadji, Civalek (CR22) 2021 Kumar, Roshni, Himayoun (CR41) 2019 Güvercin, Yaylacı, Dizdar, Kanat, Uzun Yaylacı, Ay, Abdioğlu, Şen (CR29) 2022 LY Cun (2332_CR54) 1990; 2 AH Fath (2332_CR51) 2020; 6 N Wattanasakulpong (2332_CR1) 2015; 50 M Lezgy-Nazargah (2332_CR12) 2011; 217 S Kitipornchai (2332_CR5) 2017; 116 M Lezgy-Nazargah (2332_CR14) 2020 HHS AlSaid-Alwan (2332_CR21) 2020; 26 S Kumar (2332_CR41) 2019 V Taşkın (2332_CR8) 2020; 8 2332_CR52 Y Güvercin (2332_CR28) 2022 V Vincenzo (2332_CR31) 2021 FA Soomro (2332_CR45) 2022; 92 M Yaylacı (2332_CR33) 2022; 12 L Hadji (2332_CR7) 2019; 69 T Vo-Duy (2332_CR17) 2019; 13 M Yaylacı (2332_CR34) 2016; 57 H Fathipour-Azar (2332_CR56) 2022; 92 SK Jena (2332_CR9) 2021; 37 F Abdoun (2332_CR23) 2021; 91 K Ghouilem (2332_CR35) 2021 MH Yas (2332_CR46) 2014; 26 E Uzun Yaylacı (2332_CR42) 2020 M Turan (2332_CR10) 2021; 36 YS Al Rjoub (2332_CR4) 2017; 21 M Hajmeer (2332_CR50) 2006; 23 M Avcar (2332_CR19) 2019; 30 M Yaylacı (2332_CR37) 2022; 92 V Kahya (2332_CR16) 2018; 146 JB Chen (2332_CR32) 2003; 73 D Chen (2332_CR2) 2015; 133 V Kahya (2332_CR15) 2017; 109 F Ebrahimi (2332_CR3) 2016; 51 M Yaylacı (2332_CR36) 2022; 82 ND Nguyen (2332_CR11) 2022 H Youzera (2332_CR20) 2021 MCR Trujillo (2332_CR49) 2021; 21 M Yaylacı (2332_CR26) 2022; 43 M Avcar (2332_CR18) 2018 M Lezgy-Nazargah (2332_CR13) 2013; 104 U Orhan (2332_CR53) 2011; 38 EF Erdurcan (2332_CR24) 2021; 91 M Labusch (2332_CR27) 2019; 89 E Öner (2332_CR44) 2022 M Lezgy-Nazargah (2332_CR39) 2016; 23 M Lezgy-Nazargah (2332_CR38) 2015; 45 E Uzun Yaylacı (2332_CR25) 2022; 84 K Gao (2332_CR6) 2019; 197 M Avcar (2332_CR22) 2021 M Yaylacı (2332_CR43) 2021 B Mytsyk (2332_CR57) 2022; 92 K He (2332_CR55) 2022 2332_CR48 Y Güvercin (2332_CR29) 2022 F Mottaghian (2332_CR40) 2019; 89 FM de Assis (2332_CR47) 2021; 91 LH Pardo (2332_CR30) 2021
References_xml	– volume: 109 start-page: 108 year: 2017 end-page: 115 ident: CR15 article-title: Finite element model for vibration and buckling of functionally graded beams based on the first-order shear deformation theory publication-title: Compos. B Eng. doi: 10.1016/j.compositesb.2016.10.039 – volume: 50 start-page: 1331 year: 2015 end-page: 1342 ident: CR1 article-title: Flexural vibration of imperfect functionally graded beams based on Timoshenko beam theory: Chebyshev collocation method publication-title: Meccanica doi: 10.1007/s11012-014-0094-8 – volume: 43 start-page: 661 issue: 5 year: 2022 end-page: 672 ident: CR26 article-title: The contact problem of the functionally graded layer resting on rigid foundation pressed via rigid punch publication-title: Steel Compos. Struct. doi: 10.12989/scs.2022.43.5.661 – year: 2022 ident: CR44 article-title: On the plane receding contact between two functionally graded layers using computational, finite element and artificial neural network methods publication-title: J. Appl. Math. Mech. doi: 10.1002/zamm.202100287 – volume: 91 start-page: 4361 year: 2021 end-page: 4387 ident: CR23 article-title: Nonlinear thermal analysis of multilayered composite and FGM plates with temperature-dependent properties based on an asymptotic numerical method publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-01999-x – volume: 36 start-page: 743 year: 2021 end-page: 757 ident: CR10 article-title: Free vibration and buckling analysis of functionally graded sandwich beams by Navier’s method publication-title: J. Fac. Eng. Archit. Gazi Univ. doi: 10.17341/gazimmfd.599928 – year: 2021 ident: CR35 article-title: ANSYS modeling interface and creep behavior of concrete matrix on waste glass powder under constant static stress publication-title: Mater. Today Proc. doi: 10.1016/j.matpr.2021.09.387 – volume: 26 start-page: 285 issue: 3 year: 2020 end-page: 292 ident: CR21 article-title: Analytical solution of free vibration of FG beam utilizing different types of beam theories: a comparative study publication-title: Comput. Concr. doi: 10.12989/CAC.2020.26.3.285 – volume: 12 start-page: 405 issue: 4 year: 2022 end-page: 414 ident: CR33 article-title: Simulate of edge and an internal crack problem and estimation of stress intensity factor through finite element method publication-title: Adv. Nano Res. doi: 10.12989/anr.2022.12.4.405 – volume: 84 start-page: 35 issue: 1 year: 2022 end-page: 48 ident: CR25 article-title: Application of artificial neural networks in the analysis of the continuous contact problem publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2022.84.1.035 – volume: 6 start-page: 80 year: 2020 end-page: 91 ident: CR51 article-title: Implementation of multilayer perceptron (MLP) and radial basis function (RBF) neural networks to predict solution gas-oil ratio of crude oil systems publication-title: Petroleum doi: 10.1016/j.petlm.2018.12.002 – year: 2022 ident: CR55 article-title: Iterative algorithm for the conformal mapping function from the exterior of a roadway to the interior of a unit circle publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-02087-w – year: 2022 ident: CR29 article-title: Biomechanical analysis of odontoid and transverse atlantal ligament in humans with ponticulus posticus variation under different loading conditions: finite element study publication-title: Injury doi: 10.1016/j.injury.2022.10.003 – year: 2021 ident: CR30 article-title: Coupled multi-physics simulation for the evaluation of an accelerator-driven Aqueous Homogeneous Subcritical System for medical isotope production publication-title: Prog. Nucl. Energy doi: 10.1016/j.pnucene.2021.103692 – volume: 217 start-page: 219 year: 2011 end-page: 242 ident: CR12 article-title: A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams publication-title: Acta Mech. doi: 10.1007/s00707-010-0391-9 – year: 2020 ident: CR14 article-title: A penalty-based multifiber finite element model for coupled bending and torsional-warping analysis of composite beams publication-title: Eur. J. Mech. A Solids doi: 10.1016/j.euromechsol.2019.103915 – year: 2021 ident: CR31 article-title: Modelling the elastic energy of a bifurcated wafer: a benchmark of the analytical solution vs. the ANSYS finite element analysis publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.114996 – volume: 89 start-page: 195 year: 2019 end-page: 230 ident: CR40 article-title: A novel finite element model for large deformation analysis of cracked beams using classical and continuum-based approaches publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-018-1460-0 – volume: 146 start-page: 198 year: 2018 end-page: 212 ident: CR16 article-title: Vibration and stability analysis of functionally graded sandwich beams by a multi-layer finite element publication-title: Compos. B Eng. doi: 10.1016/j.compositesb.2018.04.011 – volume: 92 start-page: 3203 year: 2022 end-page: 3213 ident: CR57 article-title: Determination of hydrogen diffusion coefficients in metals by the method of low mechanical stresses publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02231-0 – volume: 91 start-page: 4389 year: 2021 end-page: 4408 ident: CR47 article-title: Crack identification in laminated composites based on modal responses using metaheuristics, artificial neural networks and response surface method: a comparative study publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-02015-y – year: 2022 ident: CR11 article-title: A new two-variable shear deformation theory for bending, free vibration and buckling analysis of functionally graded porous beams publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.115095 – volume: 73 start-page: 421 year: 2003 end-page: 433 ident: CR32 article-title: Discrete mechanics and the finite element method publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-003-0302-9 – volume: 104 start-page: 71 year: 2013 end-page: 84 ident: CR13 article-title: An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2013.04.010 – year: 2022 ident: CR28 article-title: Suture button fixation method used in the treatment of syndesmosis injury: a biomechanical analysis of the effect of the placement of the button on the distal tibiofibular joint in the mid-stance phase with finite elements method publication-title: Injury doi: 10.1016/j.injury.2022.05.037 – volume: 116 start-page: 656 year: 2017 end-page: 665 ident: CR5 article-title: Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets publication-title: Mater. Des. doi: 10.1016/j.matdes.2016.12.061 – year: 2021 ident: CR22 article-title: Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.114564 – volume: 82 start-page: 401 issue: 3 year: 2022 end-page: 416 ident: CR36 article-title: Solving the contact problem of functionally graded layers resting on a homogeneous half-plane and pressed with a uniformly distributed load by analytical and numerical methods publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2022.82.3.401 – volume: 57 start-page: 1143 issue: 6 year: 2016 end-page: 1156 ident: CR34 article-title: The investigation crack problem through numerical analysis publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2016.57.6.1143 – volume: 197 start-page: 109441 year: 2019 ident: CR6 article-title: Dynamic characteristics of functionally graded porous beams with interval material properties publication-title: Eng. Struct. doi: 10.1016/j.engstruct.2019.109441 – volume: 2 start-page: 598 year: 1990 end-page: 605 ident: CR54 article-title: Optimal brain damage publication-title: Adv. Neural. Inf. Process. Syst. – volume: 92 start-page: 1953 year: 2022 end-page: 1971 ident: CR37 article-title: Evaluation of the contact problem of functionally graded layer resting on rigid foundation pressed via rigid punch by analytical and numerical (FEM and MLP) methods publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02159-5 – volume: 45 start-page: 154 year: 2015 end-page: 164 ident: CR38 article-title: Fully coupled thermo-mechanical analysis of bi-directional FGM beams using NURBS isogeometric finite element approach publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2015.05.006 – volume: 37 start-page: 3569 year: 2021 end-page: 3589 ident: CR9 article-title: Application of shifted Chebyshev polynomial-based Rayleigh–Ritz method and Navier’s technique for vibration analysis of a functionally graded porous beam embedded in Kerr foundation publication-title: Eng. Comput. doi: 10.1007/s00366-020-01018-7 – year: 2018 ident: CR18 article-title: Free vibration of functionally graded beams resting on Winkler–Pasternak foundation publication-title: Arab. J. Geosci. doi: 10.1007/s12517-018-3579-2 – volume: 21 start-page: 611 year: 2021 end-page: 625 ident: CR49 article-title: Segmentation of carbon nanotube images through an artificial neural network publication-title: Soft. Comput. doi: 10.1007/s00500-016-2426-1 – volume: 51 start-page: 223 year: 2016 end-page: 249 ident: CR3 article-title: Investigating thermal effects on vibration behavior of temperature-dependent compositionally graded Euler beams with porosities publication-title: Meccanica doi: 10.1007/s11012-015-0208-y – volume: 26 start-page: 1 issue: 1 year: 2014 end-page: 12 ident: CR46 article-title: Application of imperialist competitive algorithm and neural networks to optimise the volume fraction of three-parameter functionally graded beams publication-title: J. Exp. Theor. Artif. Intell. doi: 10.1080/0952813X.2013.782346 – year: 2020 ident: CR42 article-title: Artificial neural network calculations for a receding contact problem publication-title: Comput. Concr. doi: 10.12989/cac.2020.25.6.551ç – volume: 21 start-page: 792 year: 2017 end-page: 806 ident: CR4 article-title: Free vibration of functionally Euler-Bernoulli and Timoshenko graded porous beams using the transfer matrix method publication-title: KSCE J. Civ. Eng. doi: 10.1007/s12205-016-0149-6 – year: 2019 ident: CR41 article-title: A comparison of emotional neural network (ENN) and artificial neural network (ANN) approach for rainfall-runoff modelling publication-title: Civ. Eng. J. doi: 10.28991/cej-2019-03091398 – year: 2021 ident: CR20 article-title: Finite element method for axial and bending coupling effect on free vibration response of functionally graded beams under thermal environment publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376494.2021.1979140 – volume: 8 start-page: 49 year: 2020 end-page: 61 ident: CR8 article-title: Free vibration analysis of functionally graded porous beam publication-title: Eskişehir Tech. Univ. J. Sci. Technol. B Theor. Sci. – volume: 69 start-page: 231 year: 2019 end-page: 241 ident: CR7 article-title: An analytical solution for bending and free vibration responses of functionally graded beams with porosities: Effect of the micromechanical models publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2019.69.2.231 – ident: CR48 – year: 2021 ident: CR43 article-title: Assessment of different solution methods for receding contact problems in functionally graded layered mediums publication-title: Mech. Mater. doi: 10.1016/j.mechmat.2020.103730 – ident: CR52 – volume: 92 start-page: 2179 year: 2022 end-page: 2189 ident: CR45 article-title: Artificial neural network modeling of MHD slip-flow over a permeable stretching surface publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02168-4 – volume: 30 start-page: 603 issue: 6 year: 2019 end-page: 615 ident: CR19 article-title: Free vibration of imperfect sigmoid and power law functionally graded beams publication-title: Steel Compos. Struct. doi: 10.12989/scs.2019.30.6.603 – volume: 23 start-page: 337 issue: 3 year: 2016 end-page: 352 ident: CR39 article-title: Efficient coupled refined finite element for dynamic analysis of sandwich beams containing embedded shear-mode piezoelectric layers publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376494.2014.981617 – volume: 13 start-page: 324 year: 2019 end-page: 336 ident: CR17 article-title: Free vibration analysis of laminated FG-CNT reinforced composite beams using finite element method publication-title: Front. Struct. Civ. Eng. doi: 10.1007/s11709-018-0466-6 – volume: 91 start-page: 1729 year: 2021 end-page: 1737 ident: CR24 article-title: Free vibration analysis of an aluminum beam coated with imperfect and damaged functionally graded material publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-020-01850-9 – volume: 89 start-page: 1157 year: 2019 end-page: 1170 ident: CR27 article-title: FEM analysis of a multiferroic nanocomposite: comparison of experimental data and numerical simulation publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-019-01534-z – volume: 23 start-page: 561 year: 2006 end-page: 570 ident: CR50 article-title: Survival curves of in chorizos modeled with artificial neural networks publication-title: Food Microbiol. doi: 10.1016/j.fm.2005.09.011 – volume: 92 start-page: 2483 year: 2022 end-page: 2494 ident: CR56 article-title: Data-oriented prediction of rocks’ Mohr-Coulomb parameters publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02190-6 – volume: 133 start-page: 54 year: 2015 end-page: 61 ident: CR2 article-title: Elastic buckling and static bending of shear deformable functionally graded porous beam publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2015.07.052 – volume: 38 start-page: 13475 year: 2011 end-page: 13481 ident: CR53 article-title: EEG signals classification using the K-means clustering and a multilayer perceptron neural network model publication-title: Expert. Syst. Appl. doi: 10.1016/j.eswa.2011.04.149 – volume: 26 start-page: 285 issue: 3 year: 2020 ident: 2332_CR21 publication-title: Comput. Concr. doi: 10.12989/CAC.2020.26.3.285 – volume: 30 start-page: 603 issue: 6 year: 2019 ident: 2332_CR19 publication-title: Steel Compos. Struct. doi: 10.12989/scs.2019.30.6.603 – volume: 109 start-page: 108 year: 2017 ident: 2332_CR15 publication-title: Compos. B Eng. doi: 10.1016/j.compositesb.2016.10.039 – volume: 69 start-page: 231 year: 2019 ident: 2332_CR7 publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2019.69.2.231 – volume: 116 start-page: 656 year: 2017 ident: 2332_CR5 publication-title: Mater. Des. doi: 10.1016/j.matdes.2016.12.061 – volume: 84 start-page: 35 issue: 1 year: 2022 ident: 2332_CR25 publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2022.84.1.035 – volume: 45 start-page: 154 year: 2015 ident: 2332_CR38 publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2015.05.006 – volume: 8 start-page: 49 year: 2020 ident: 2332_CR8 publication-title: Eskişehir Tech. Univ. J. Sci. Technol. B Theor. Sci. – volume: 2 start-page: 598 year: 1990 ident: 2332_CR54 publication-title: Adv. Neural. Inf. Process. Syst. – volume: 92 start-page: 2483 year: 2022 ident: 2332_CR56 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02190-6 – year: 2021 ident: 2332_CR30 publication-title: Prog. Nucl. Energy doi: 10.1016/j.pnucene.2021.103692 – volume: 92 start-page: 1953 year: 2022 ident: 2332_CR37 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02159-5 – volume: 91 start-page: 4361 year: 2021 ident: 2332_CR23 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-01999-x – year: 2018 ident: 2332_CR18 publication-title: Arab. J. Geosci. doi: 10.1007/s12517-018-3579-2 – year: 2020 ident: 2332_CR14 publication-title: Eur. J. Mech. A Solids doi: 10.1016/j.euromechsol.2019.103915 – volume: 13 start-page: 324 year: 2019 ident: 2332_CR17 publication-title: Front. Struct. Civ. Eng. doi: 10.1007/s11709-018-0466-6 – volume: 43 start-page: 661 issue: 5 year: 2022 ident: 2332_CR26 publication-title: Steel Compos. Struct. doi: 10.12989/scs.2022.43.5.661 – volume: 73 start-page: 421 year: 2003 ident: 2332_CR32 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-003-0302-9 – volume: 92 start-page: 3203 year: 2022 ident: 2332_CR57 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02231-0 – year: 2022 ident: 2332_CR55 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-02087-w – volume: 26 start-page: 1 issue: 1 year: 2014 ident: 2332_CR46 publication-title: J. Exp. Theor. Artif. Intell. doi: 10.1080/0952813X.2013.782346 – volume: 21 start-page: 611 year: 2021 ident: 2332_CR49 publication-title: Soft. Comput. doi: 10.1007/s00500-016-2426-1 – volume: 6 start-page: 80 year: 2020 ident: 2332_CR51 publication-title: Petroleum doi: 10.1016/j.petlm.2018.12.002 – year: 2022 ident: 2332_CR11 publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.115095 – volume: 50 start-page: 1331 year: 2015 ident: 2332_CR1 publication-title: Meccanica doi: 10.1007/s11012-014-0094-8 – volume: 82 start-page: 401 issue: 3 year: 2022 ident: 2332_CR36 publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2022.82.3.401 – volume: 104 start-page: 71 year: 2013 ident: 2332_CR13 publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2013.04.010 – year: 2019 ident: 2332_CR41 publication-title: Civ. Eng. J. doi: 10.28991/cej-2019-03091398 – volume: 38 start-page: 13475 year: 2011 ident: 2332_CR53 publication-title: Expert. Syst. Appl. doi: 10.1016/j.eswa.2011.04.149 – volume: 36 start-page: 743 year: 2021 ident: 2332_CR10 publication-title: J. Fac. Eng. Archit. Gazi Univ. doi: 10.17341/gazimmfd.599928 – volume: 51 start-page: 223 year: 2016 ident: 2332_CR3 publication-title: Meccanica doi: 10.1007/s11012-015-0208-y – volume: 89 start-page: 1157 year: 2019 ident: 2332_CR27 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-019-01534-z – year: 2021 ident: 2332_CR20 publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376494.2021.1979140 – volume: 89 start-page: 195 year: 2019 ident: 2332_CR40 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-018-1460-0 – year: 2021 ident: 2332_CR22 publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.114564 – volume: 92 start-page: 2179 year: 2022 ident: 2332_CR45 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-022-02168-4 – volume: 91 start-page: 4389 year: 2021 ident: 2332_CR47 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-02015-y – ident: 2332_CR52 – year: 2021 ident: 2332_CR35 publication-title: Mater. Today Proc. doi: 10.1016/j.matpr.2021.09.387 – volume: 133 start-page: 54 year: 2015 ident: 2332_CR2 publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2015.07.052 – year: 2022 ident: 2332_CR44 publication-title: J. Appl. Math. Mech. doi: 10.1002/zamm.202100287 – volume: 146 start-page: 198 year: 2018 ident: 2332_CR16 publication-title: Compos. B Eng. doi: 10.1016/j.compositesb.2018.04.011 – volume: 217 start-page: 219 year: 2011 ident: 2332_CR12 publication-title: Acta Mech. doi: 10.1007/s00707-010-0391-9 – year: 2021 ident: 2332_CR31 publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2021.114996 – volume: 12 start-page: 405 issue: 4 year: 2022 ident: 2332_CR33 publication-title: Adv. Nano Res. doi: 10.12989/anr.2022.12.4.405 – year: 2020 ident: 2332_CR42 publication-title: Comput. Concr. doi: 10.12989/cac.2020.25.6.551ç – volume: 37 start-page: 3569 year: 2021 ident: 2332_CR9 publication-title: Eng. Comput. doi: 10.1007/s00366-020-01018-7 – year: 2022 ident: 2332_CR28 publication-title: Injury doi: 10.1016/j.injury.2022.05.037 – volume: 23 start-page: 561 year: 2006 ident: 2332_CR50 publication-title: Food Microbiol. doi: 10.1016/j.fm.2005.09.011 – year: 2021 ident: 2332_CR43 publication-title: Mech. Mater. doi: 10.1016/j.mechmat.2020.103730 – year: 2022 ident: 2332_CR29 publication-title: Injury doi: 10.1016/j.injury.2022.10.003 – volume: 197 start-page: 109441 year: 2019 ident: 2332_CR6 publication-title: Eng. Struct. doi: 10.1016/j.engstruct.2019.109441 – volume: 57 start-page: 1143 issue: 6 year: 2016 ident: 2332_CR34 publication-title: Struct. Eng. Mech. doi: 10.12989/sem.2016.57.6.1143 – volume: 91 start-page: 1729 year: 2021 ident: 2332_CR24 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-020-01850-9 – ident: 2332_CR48 – volume: 21 start-page: 792 year: 2017 ident: 2332_CR4 publication-title: KSCE J. Civ. Eng. doi: 10.1007/s12205-016-0149-6 – volume: 23 start-page: 337 issue: 3 year: 2016 ident: 2332_CR39 publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376494.2014.981617
SSID	ssj0004520
Score	2.60699
Snippet	In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	1351
SubjectTerms	Artificial neural networks Boundary conditions Buckling Civil engineering Classical Mechanics Composite materials Engineering Equations of motion Exact solutions Finite element method Free vibration Functionally gradient materials Mathematical analysis Methods Neural networks Numerical analysis Original Polynomials Porosity Power law Resonant frequencies Shear deformation Shear strain Theoretical and Applied Mechanics Vibration analysis
SummonAdditionalLinks	– databaseName: SpringerLINK Contemporary 1997-Present dbid: RSV link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS8MwFA46fdAH7-J0Sh58c4F26S2PIg4fZIiXsbeStjljMDtpd2G_wL9tTtpuU1TQpxJyoeQkOV-SL98h5JI7iRQ-BwZRZDHHB8kE-Dppu7EVC8sCw3bv3vudTtDriYfyUVhesd2rK0mzUi8eu6E0lGDIPtd-hrfYbJ1saHcXYMCGx6fuqka4OVkRXDBEM-VTme_b-OyOlhjzy7Wo8Tbt3f_95x7ZKdElvS6Gwz5ZU-kB2V7RHDwk7-1MKTrFXTLahMo0oRFe8OpcOgKKjq44HxzOaT-TiUqoxuijSU4jJV9zikz5vq4mh3NzDt6kMEDgSlXBRG-aJnFEFuIUFCUzzccQzmkRszo_Ii_t2-ebO1ZGY2CxnqZj1nKgJd0EIY1e5SINnKTkervjcI_7vgwih8sg1jtI5QUy8vQaCoklwQMuVOJFLj8mtXSUqhNCwXG5a3PgKuYO2IHwtI90wZPgAMZmrxO7MkoYl1LlGDFjGC5Elk0nh7qTQ9PJ4axOrhZ13gqhjl9LNypbh-WkzUPewhCqGpEFddKsbLvM_rm1078VPyNbGLS-4P80SG2cTdQ52Yyn40GeXZjB_AH2fvAI priority: 102 providerName: Springer Nature
Title	Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods
URI	https://link.springer.com/article/10.1007/s00419-022-02332-w https://www.proquest.com/docview/3259005848
Volume	93
WOSCitedRecordID	wos000895571000001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1432-0681 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0004520 issn: 0939-1533 databaseCode: P5Z dateStart: 20230101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database (subscription) customDbUrl: eissn: 1432-0681 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0004520 issn: 0939-1533 databaseCode: M7S dateStart: 20230101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: Materials Science Database customDbUrl: eissn: 1432-0681 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0004520 issn: 0939-1533 databaseCode: KB. dateStart: 20230101 isFulltext: true titleUrlDefault: http://search.proquest.com/materialsscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1432-0681 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0004520 issn: 0939-1533 databaseCode: BENPR dateStart: 20230101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1432-0681 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004520 issn: 0939-1533 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEB58HfTgW6yPkoM3G91t9pWTqFgEpRRfiJclu5spQm2121b8Bf5tM9mtVUEvXrIs2YSFmcxMJl--AdgTXqZkKJBjkjjcC1FxiaF5df3USaXjoEW7312GzWZ0fy9bZcItL2GVY5toDXXWSylHfijqVN_SuMvo6PmFU9UoOl0tS2hMwyyxJLgWunf9lS3c5likkJzimvLSjL06R0RTkhOW3XgtUeev3x3TJNr8cUBq_U5j6b9_vAyLZcTJjgsVWYEp3V2FhS88hGvw3uhrzUa0cyY5MdXNWEKHvqaX9ZCR8ytyhp031u6rTGfMxO29Yc4SrZ5yRuj5thmmOm82N15j-EjBLNMFOr1mpyQtLQgrGNFo2ocFobOijnW-DreNs5vTc15WaOCpWboDXvewrvyMwhxj-RITTCklzBbIE4EIQxUlnlBRanaVOohUEhi7ipmjMEAhdRYkvtiAmW6vqzeBoecL3xUodCo8dCMZGL_pY6DQQ6rXXgF3LJ44LenLqYpGJ_4kXrYijY1IYyvS-LUC-59jngvyjj-_3hnLMS4Xch5PhFiB2lgTJt2_z7b192zbME-F6wsM0A7MDPpDvQtz6WjwmPerMHty1mxdVWH64uSgapXatC3_wbRX13cfqgv-BQ
linkProvider	ProQuest
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB5VBQk4AOUhFlrwoT2xptnYefiAqhZYtep2xaGg3oKTeKpKy27ZbLvaX8C_4Tcy4yTdgkRvPXCKIsc-OJ9nxvP6ADaVLq1JFErM80DqBK00mNBrLyqCwgQB-mz3r4NkOExPTsznFfjV1sJwWmUrE72gLicF-8i3Vcj8lqQu053zH5JZozi62lJo1LA4dIs5Xdmq9wcf6f9uhWH_0_GHfdmwCsiC4DaTocbQRiWrZjqtORkA1ioy27WKVZLYNNfKpgXdhFyc2jwmWYBlYDFGZVwZ58wSQSL_jlZkm3IQeO_d9e7k3qdjlJFsRzVFOr5UjxtbGcm586QlVSjnfyrCpXX7V0DW67n-o_9thx7Dw8aiFrv1EViDFTd-Ag-u9Vl8Cj_7U-fEJXsGGIfCjkuRc1CbRsUEBSv32ic6WojTqS1dKeheMrmoRO7s90pwdcApTbOjhff9dwWesbEuXJ193_VL8imsG3IIbhPqHz7JXtQ83dUz-HIrO_EcVseTsXsBAnWkop5C5QqlsZeamOyCCGOLGpmPvgO9Fg5Z0bRnZ5aQUXbVWNpDKCMIZR5C2bwDb6_mnNfNSW78er3FTdYIqipbgqYD3RZ5y-F_r_by5tXewL3946NBNjgYHr6C-yHNqvOd1mF1Nr1wG3C3uJydVdPX_ggJ-HbbiPwNnrhUHg
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEB58IXrwLa7PHLy5we4mfeQo6qIoi-ADbyVtMyKsXdmuir_Av20m7a6rqCCeSmkSSibJfEm--QZgV8hMq1AgxyTxuAxRc4WhfW34qZcqz0PHdr85D9vt6PZWXYxE8Tu2--BKsoxpIJWmvL__mOH-MPCNZKIUJya69TmiyV_GYVISkZ7265c3o3rh7pRFCcUJ2VRhM9-38dk1feDNL1ekzvO05v__zwswV6FOdlAOk0UYM_kSzI5oES7DW6tnDHum3TPZiuk8Ywld_NqvrIuMHGB5bth5ZXc9nZmMWezefSpYYvRDwYhBf2er6c6rOx-vM7wnQMtMyVCvuyZppJaiFYykNN3DEdFZmcu6WIHr1vHV4QmvsjTw1E7fPm9KbGo_I6hjV7_EAiqthd0GSRGIMNRRIoWOUruzNEGkk8CurZh5GgMUymRB4otVmMi7uVkDhtIXfkOgMKmQ2IhUYH2nj4FGiZSzvQaNgYHitJIwp0wanXgovuw6ObadHLtOjl9qsDes81gKePxaenNg97iazEUsmpRa1SK1qAb1gZ0_Pv_c2vrfiu_A9MVRKz4_bZ9twAzltS8pQpsw0e89mS2YSp_790Vv243xd3NK-9A
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Free+vibration+and+buckling+of+functionally+graded+porous+beams+using+analytical%2C+finite+element%2C+and+artificial+neural+network+methods&rft.jtitle=Archive+of+applied+mechanics+%281991%29&rft.au=Turan%2C+Muhittin&rft.au=Uzun+Yaylac%C4%B1%2C+Ecren&rft.au=Yaylac%C4%B1%2C+Murat&rft.date=2023-04-01&rft.pub=Springer+Nature+B.V&rft.issn=0939-1533&rft.eissn=1432-0681&rft.volume=93&rft.issue=4&rft.spage=1351&rft.epage=1372&rft_id=info:doi/10.1007%2Fs00419-022-02332-w
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0939-1533&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0939-1533&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0939-1533&client=summon