A novel family of composite sub-step algorithms with desired numerical dissipations for structural dynamics

A novel family of composite sub-step algorithms with controllable numerical dissipations is proposed in this paper to obtain reliable numerical responses in structural dynamics. The new scheme is a self-starting, unconditionally stable and second-order-accurate two-sub-step algorithm with the same c...

Full description

Saved in:

Bibliographic Details
Published in:	Archive of applied mechanics (1991) Vol. 90; no. 4; pp. 737 - 772
Main Authors:	Li, Jinze, Yu, Kaiping
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020 Springer Nature B.V
Subjects:	Algorithms Classical Mechanics Computational efficiency Computing costs Cost analysis Engineering Frequency ranges Linear systems Original Stability Stiffness matrix Theoretical and Applied Mechanics Sub-step algorithm Controllable numerical dissipation Implicit integration algorithm Bathe algorithm
ISSN:	0939-1533, 1432-0681
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	A novel family of composite sub-step algorithms with controllable numerical dissipations is proposed in this paper to obtain reliable numerical responses in structural dynamics. The new scheme is a self-starting, unconditionally stable and second-order-accurate two-sub-step algorithm with the same computational cost as the Bathe algorithm. The new algorithm can control continuously numerical dissipations in the high-frequency range in an intuitive way, and the ability of numerical dissipations can range from the non-dissipative trapezoidal rule to the asymptotic annihilating Bathe algorithm. Besides, the new algorithm only involves one free parameter and always achieves the identical effective stiffness matrices inside two sub-steps, which is not always achieved in three Bathe-type algorithms, to reduce the computational cost in the analysis of linear systems. Some numerical examples are given to show the superiority of the new algorithm over the Bathe algorithm and the CH- α algorithm.
AbstractList	A novel family of composite sub-step algorithms with controllable numerical dissipations is proposed in this paper to obtain reliable numerical responses in structural dynamics. The new scheme is a self-starting, unconditionally stable and second-order-accurate two-sub-step algorithm with the same computational cost as the Bathe algorithm. The new algorithm can control continuously numerical dissipations in the high-frequency range in an intuitive way, and the ability of numerical dissipations can range from the non-dissipative trapezoidal rule to the asymptotic annihilating Bathe algorithm. Besides, the new algorithm only involves one free parameter and always achieves the identical effective stiffness matrices inside two sub-steps, which is not always achieved in three Bathe-type algorithms, to reduce the computational cost in the analysis of linear systems. Some numerical examples are given to show the superiority of the new algorithm over the Bathe algorithm and the CH-α algorithm. A novel family of composite sub-step algorithms with controllable numerical dissipations is proposed in this paper to obtain reliable numerical responses in structural dynamics. The new scheme is a self-starting, unconditionally stable and second-order-accurate two-sub-step algorithm with the same computational cost as the Bathe algorithm. The new algorithm can control continuously numerical dissipations in the high-frequency range in an intuitive way, and the ability of numerical dissipations can range from the non-dissipative trapezoidal rule to the asymptotic annihilating Bathe algorithm. Besides, the new algorithm only involves one free parameter and always achieves the identical effective stiffness matrices inside two sub-steps, which is not always achieved in three Bathe-type algorithms, to reduce the computational cost in the analysis of linear systems. Some numerical examples are given to show the superiority of the new algorithm over the Bathe algorithm and the CH- α algorithm.
Author	Li, Jinze Yu, Kaiping
Author_xml	– sequence: 1 givenname: Jinze surname: Li fullname: Li, Jinze organization: Department of Astronautic Science and Mechanics, Harbin Institute of Technology – sequence: 2 givenname: Kaiping surname: Yu fullname: Yu, Kaiping email: yukp@hit.edu.cn organization: Department of Astronautic Science and Mechanics, Harbin Institute of Technology
BookMark	eNp9kE1LxDAQhoOs4Lr6BzwFPFcnTTfZHkX8ggUvei5pO9Fo29RMquy_N7srCB48DDMw7zMf7zGbDX5Axs4EXAgAfUkAhSgz2IWSOtMHbC4KmWegVmLG5lDKMhNLKY_YMdEbJP0yhzl7v-KD_8SOW9O7bsO95Y3vR08uIqepzijiyE334oOLrz3xr5R4i-QCtnyYegyuMR1vHZEbTXR-IG594BTD1MQpbHubIQ1v6IQdWtMRnv7kBXu-vXm6vs_Wj3cP11frrJGijJkCgbldyaUoirYFLG2tNK6sqluoUSiha8BUNy3mRqpSgbLWoi7BaF0rKxfsfD93DP5jQorVm5_CkFZWudRaQ65VkVT5XtUETxTQVmNwvQmbSkC1NbXam1rBLpKplU7Q6g_UuLj7Ogbjuv9RuUcp7RleMPxe9Q_1DeAZkIc
CitedBy_id	crossref_primary_10_1002_nme_7639 crossref_primary_10_1007_s00419_021_01989_z crossref_primary_10_1007_s11071_020_06101_8 crossref_primary_10_1016_j_cma_2021_114274 crossref_primary_10_1016_j_compstruc_2024_107294 crossref_primary_10_1002_nme_7328 crossref_primary_10_1007_s00419_022_02286_z crossref_primary_10_1007_s11071_021_06202_y crossref_primary_10_1002_nme_7291 crossref_primary_10_1007_s00419_024_02637_y crossref_primary_10_1016_j_compstruc_2021_106559 crossref_primary_10_1016_j_compstruc_2022_106814 crossref_primary_10_1002_nme_6574 crossref_primary_10_1016_j_apm_2022_10_012 crossref_primary_10_1016_j_cma_2022_114945
Cites_doi	10.1016/j.compstruc.2006.09.004 10.1002/nme.5291 10.1142/S0219876218501116 10.1002/eqe.4290050306 10.1007/s00466-014-1096-z 10.1016/j.compstruc.2012.01.009 10.1002/eqe.4290060111 10.1016/j.jcp.2009.12.028 10.1016/j.compstruc.2013.02.006 10.1016/j.compstruc.2018.11.001 10.1016/j.compstruc.2017.10.002 10.1016/0045-7825(88)90053-9 10.1007/s00419-015-1016-5 10.1016/j.compstruc.2013.07.001 10.1007/s00466-001-0273-z 10.1016/j.compstruc.2018.10.008 10.1115/1.4036821 10.1016/j.compstruc.2018.02.007 10.1002/nme.873 10.1016/j.apm.2018.12.027 10.1007/s11071-019-04936-4 10.1007/s00466-015-1152-3 10.1016/j.compstruc.2006.08.072 10.2514/8.1722 10.1016/j.compstruc.2016.11.018 10.1007/s00366-014-0390-x 10.1016/j.compstruc.2018.03.006 10.1115/1.2900803 10.1007/BF01931689 10.1002/eqe.818 10.1002/nme.1620151011 10.1142/S0219455417500249 10.1016/j.compstruc.2005.08.001 10.1002/nme.6098 10.1061/JMCEA3.0000098 10.1155/2015/907023
ContentType	Journal Article
Copyright	Springer-Verlag GmbH Germany, part of Springer Nature 2019 2019© Springer-Verlag GmbH Germany, part of Springer Nature 2019
Copyright_xml	– notice: Springer-Verlag GmbH Germany, part of Springer Nature 2019 – notice: 2019© Springer-Verlag GmbH Germany, part of Springer Nature 2019
DBID	AAYXX CITATION
DOI	10.1007/s00419-019-01637-7
DatabaseName	CrossRef
DatabaseTitle	CrossRef
DatabaseTitleList
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1432-0681
EndPage	772
ExternalDocumentID	10_1007_s00419_019_01637_7
GrantInformation_xml	– fundername: National Natural Science Foundation of China grantid: 11372084 funderid: http://dx.doi.org/10.13039/501100001809
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
ID	FETCH-LOGICAL-c319t-601e2f835144dd0e9fb67e8f6bd0be1617b0ebd0cde2a369606fffe790a77b6f3
IEDL.DBID	RSV
ISICitedReferencesCount	19
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000520179000006&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	Wed Sep 17 23:56:02 EDT 2025 Sat Nov 29 03:42:26 EST 2025 Tue Nov 18 22:37:06 EST 2025 Fri Feb 21 02:36:41 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	4
Keywords	Sub-step algorithm Controllable numerical dissipation Implicit integration algorithm Bathe algorithm
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c319t-601e2f835144dd0e9fb67e8f6bd0be1617b0ebd0cde2a369606fffe790a77b6f3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
PQID	2377702764
PQPubID	2043580
PageCount	36
ParticipantIDs	proquest_journals_2377702764 crossref_primary_10_1007_s00419_019_01637_7 crossref_citationtrail_10_1007_s00419_019_01637_7 springer_journals_10_1007_s00419_019_01637_7
PublicationCentury	2000
PublicationDate	2020-04-01
PublicationDateYYYYMMDD	2020-04-01
PublicationDate_xml	– month: 04 year: 2020 text: 2020-04-01 day: 01
PublicationDecade	2020
PublicationPlace	Berlin/Heidelberg
PublicationPlace_xml	– name: Berlin/Heidelberg – name: Heidelberg
PublicationTitle	Archive of applied mechanics (1991)
PublicationTitleAbbrev	Arch Appl Mech
PublicationYear	2020
Publisher	Springer Berlin Heidelberg Springer Nature B.V
Publisher_xml	– name: Springer Berlin Heidelberg – name: Springer Nature B.V
References	Chung, Hulbert (CR4) 1993; 60 Zhang, Liu, Liu (CR33) 2017; 109 Kim, Reddy (CR43) 2017; 84 Wood, Bossak, Zienkiewicz (CR11) 1980; 15 Silva, Bezerra (CR30) 2008; 2008 CR19 Zhang, Xing (CR40) 2018; 202 Benítez, Montáns (CR38) 2013; 128 Erlicher, Bonaventura, Bursi (CR14) 2002; 28 Chopra (CR26) 2011 Gear (CR29) 1971 Wen, Wei, Lei, Duan, Fang (CR15) 2017; 182 Klarmann, Wagner (CR31) 2015; 55 Bathe (CR7) 2007; 85 Hilber, Hughes, Taylor (CR12) 1977; 5 Rezaiee-Pajand, Sarafrazi (CR21) 2010; 1 Wen, Luo, Jian (CR24) 2015; 85 Noh, Bathe (CR9) 2018; 202 Dahlquist (CR27) 1978; 18 CR2 Lacoma, Romero (CR39) 2007; 85 Yu (CR6) 2008; 37 Dong (CR10) 2010; 229 Kim, Reddy (CR17) 2016; 17 Houbolt (CR3) 1950; 17 Noh, Ham, Bathe (CR32) 2013; 123 Li, Yu (CR18) 2018; 16 Hoff, Pahl (CR13) 1988; 67 Hughes (CR25) 2000 Kim, Choi (CR16) 2018; 196 Li, Yu (CR34) 2019; 69 Chandra, Zhou, Stanciulescu, Eason, Spottswood (CR20) 2015; 55 Li, Yu, Li (CR37) 2019; 96 CR41 Hilber, Hughes (CR5) 1978; 6 Noh, Bathe (CR35) 2019; 212 Bathe, Baig (CR28) 2005; 83 Malakiyeh, Shojaee, Bathe (CR36) 2019; 212 Newmark (CR1) 1959; 85 Bathe, Noh (CR8) 2012; 98–99 Rezaiee-Pajand, Karimi-Rad (CR22) 2015; 31 Liu (CR42) 2000; 8 Zhou, Tamma (CR23) 2004; 59 S Dong (1637_CR10) 2010; 229 1637_CR2 JC Houbolt (1637_CR3) 1950; 17 1637_CR41 TJR Hughes (1637_CR25) 2000 G Noh (1637_CR35) 2019; 212 NM Newmark (1637_CR1) 1959; 85 WTM Silva (1637_CR30) 2008; 2008 W Kim (1637_CR17) 2016; 17 M Rezaiee-Pajand (1637_CR22) 2015; 31 W Kim (1637_CR43) 2017; 84 G Dahlquist (1637_CR27) 1978; 18 K Yu (1637_CR6) 2008; 37 WB Wen (1637_CR24) 2015; 85 JM Benítez (1637_CR38) 2013; 128 KJ Bathe (1637_CR28) 2005; 83 W Wood (1637_CR11) 1980; 15 HM Hilber (1637_CR5) 1978; 6 KJ Bathe (1637_CR8) 2012; 98–99 G Noh (1637_CR9) 2018; 202 W Kim (1637_CR16) 2018; 196 X Zhou (1637_CR23) 2004; 59 1637_CR19 AK Chopra (1637_CR26) 2011 J Li (1637_CR18) 2018; 16 CW Gear (1637_CR29) 1971 WB Wen (1637_CR15) 2017; 182 Y Chandra (1637_CR20) 2015; 55 J Chung (1637_CR4) 1993; 60 HM Zhang (1637_CR40) 2018; 202 CS Liu (1637_CR42) 2000; 8 J Zhang (1637_CR33) 2017; 109 KJ Bathe (1637_CR7) 2007; 85 S Erlicher (1637_CR14) 2002; 28 J Li (1637_CR37) 2019; 96 G Noh (1637_CR32) 2013; 123 C Hoff (1637_CR13) 1988; 67 HM Hilber (1637_CR12) 1977; 5 S Klarmann (1637_CR31) 2015; 55 LM Lacoma (1637_CR39) 2007; 85 M Rezaiee-Pajand (1637_CR21) 2010; 1 MM Malakiyeh (1637_CR36) 2019; 212 J Li (1637_CR34) 2019; 69
References_xml	– volume: 85 start-page: 437 issue: 7–8 year: 2007 end-page: 445 ident: CR7 article-title: Conserving energy and momentum in nonlinear dynamics: a simple implicit time integration scheme publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2006.09.004 – volume: 109 start-page: 368 issue: 3 year: 2017 end-page: 406 ident: CR33 article-title: Accuracy of a composite implicit time integration scheme for structural dynamics publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.5291 – volume: 85 start-page: 67 issue: 3 year: 1959 end-page: 94 ident: CR1 article-title: A method of computation for structural dynamics publication-title: J. Eng. Mech. Div. – volume: 16 start-page: 1850111 year: 2018 ident: CR18 article-title: noniterative integration algorithms with controllable numerical dissipations for structural dynamics publication-title: Int. J. Comput. Methods doi: 10.1142/S0219876218501116 – volume: 5 start-page: 283 issue: 3 year: 1977 end-page: 292 ident: CR12 article-title: Improved numerical dissipation for time integration algorithms in structural dynamics publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.4290050306 – volume: 55 start-page: 455 issue: 3 year: 2015 end-page: 468 ident: CR31 article-title: Enhanced studies on a composite time integration scheme in linear and non-linear dynamics publication-title: Comput. Mech. doi: 10.1007/s00466-014-1096-z – volume: 98–99 start-page: 1 year: 2012 end-page: 6 ident: CR8 article-title: Insight into an implicit time integration scheme for structural dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2012.01.009 – ident: CR2 – volume: 6 start-page: 99 issue: 1 year: 1978 end-page: 117 ident: CR5 article-title: Collocation, dissipation and ’overshoot’ for time integration schemes in structural dynamics publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.4290060111 – volume: 229 start-page: 3019 issue: 8 year: 2010 end-page: 3045 ident: CR10 article-title: BDF-like methods for nonlinear dynamic analysis publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2009.12.028 – volume: 123 start-page: 93 year: 2013 end-page: 105 ident: CR32 article-title: Performance of an implicit time integration scheme in the analysis of wave propagations publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2013.02.006 – volume: 212 start-page: 299 year: 2019 end-page: 310 ident: CR35 article-title: The Bathe time integration method with controllable spectral radius: the -Bathe method publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.11.001 – volume: 196 start-page: 341 year: 2018 end-page: 354 ident: CR16 article-title: An improved implicit time integration algorithm: the generalized composite time integration algorithm publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2017.10.002 – volume: 67 start-page: 367 issue: 3 year: 1988 end-page: 385 ident: CR13 article-title: Development of an implicit method with numerical dissipation for time integration algorithms in structural dynamics publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/0045-7825(88)90053-9 – volume: 85 start-page: 1743 issue: 12 year: 2015 end-page: 1759 ident: CR24 article-title: A novel time integration method for structural dynamics utilizing uniform quintic B-spline functions publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-015-1016-5 – year: 1971 ident: CR29 publication-title: Numerical Initial Value Problems in Ordinary Differential Equations – volume: 128 start-page: 243 issue: 5 year: 2013 end-page: 250 ident: CR38 article-title: The value of numerical amplification matrices in time integration methods publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2013.07.001 – volume: 28 start-page: 83 issue: 2 year: 2002 end-page: 104 ident: CR14 article-title: The analysis of the generalized- method for non-linear dynamic problems publication-title: Comput. Mech. doi: 10.1007/s00466-001-0273-z – volume: 212 start-page: 289 year: 2019 end-page: 298 ident: CR36 article-title: The Bathe time integration method revisited for prescribing desired numerical dissipation publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.10.008 – volume: 84 start-page: 071008 issue: 7 year: 2017 end-page: 17 ident: CR43 article-title: A new family of higher-order time integration algorithms for the analysis of structural dynamics publication-title: J. Appl. Mech. ASME doi: 10.1115/1.4036821 – volume: 202 start-page: 15 year: 2018 end-page: 24 ident: CR9 article-title: Further insights into an implicit time integration scheme for structural dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.02.007 – volume: 59 start-page: 597 issue: 5 year: 2004 end-page: 668 ident: CR23 article-title: Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.873 – volume: 69 start-page: 255 year: 2019 end-page: 272 ident: CR34 article-title: An alternative to the Bathe algorithm publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2018.12.027 – volume: 96 start-page: 2475 issue: 4 year: 2019 end-page: 2507 ident: CR37 article-title: A novel family of controllably dissipative composite integration algorithms for structural dynamic analysis publication-title: Nonlinear Dyn. doi: 10.1007/s11071-019-04936-4 – volume: 2008 start-page: 267 issue: 4 year: 2008 end-page: 290 ident: CR30 article-title: Performance of composite implicit time integration scheme for nonlinear dynamic analysis publication-title: Mathe. Prob. Eng. – ident: CR19 – year: 2000 ident: CR25 publication-title: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis – volume: 55 start-page: 1041 issue: 5 year: 2015 end-page: 1056 ident: CR20 article-title: A robust composite time integration scheme for snap-through problems publication-title: Comput. Mech. doi: 10.1007/s00466-015-1152-3 – volume: 85 start-page: 158 issue: 3 year: 2007 end-page: 169 ident: CR39 article-title: Error estimation for the HHT method in non-linear solid dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2006.08.072 – volume: 17 start-page: 540 issue: 9 year: 1950 end-page: 550 ident: CR3 article-title: A recurrence matrix solution for the dynamic response of elastic aircraft publication-title: J. Aeronaut. Sci. doi: 10.2514/8.1722 – volume: 182 start-page: 176 issue: C year: 2017 end-page: 186 ident: CR15 article-title: A novel sub-step composite implicit time integration scheme for structural dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2016.11.018 – volume: 1 start-page: 1 issue: 1 year: 2010 end-page: 12 ident: CR21 article-title: A mixed and multi-step higher-order implicit time integration family publication-title: Arch. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. – volume: 31 start-page: 791 issue: 4 year: 2015 end-page: 812 ident: CR22 article-title: More accurate and stable time integration scheme publication-title: Eng. Comput. doi: 10.1007/s00366-014-0390-x – year: 2011 ident: CR26 publication-title: Dynamics of Structures: Theory and Applications to Earthquake Engineering – volume: 202 start-page: 60 year: 2018 end-page: 73 ident: CR40 article-title: Optimization of a class of composite method for structural dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.03.006 – volume: 60 start-page: 371 year: 1993 end-page: 375 ident: CR4 article-title: A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- method publication-title: J. Appl. Mech. doi: 10.1115/1.2900803 – volume: 18 start-page: 133 issue: 2 year: 1978 end-page: 136 ident: CR27 article-title: On accuracy and unconditional stability of linear multistep methods for second order differential equations publication-title: BIT Numer. Math. doi: 10.1007/BF01931689 – volume: 37 start-page: 1389 issue: 12 year: 2008 end-page: 1409 ident: CR6 article-title: A new family of generalized- time integration algorithms without overshoot for structural dynamics publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.818 – volume: 8 start-page: 50 issue: 1 year: 2000 end-page: 60 ident: CR42 article-title: The steady loops of sdof perfectly elastoplastic structures under sinusoidal loading publication-title: J. Mar. Sci. Technol. – volume: 15 start-page: 1562 issue: 10 year: 1980 end-page: 1566 ident: CR11 article-title: An alpha modification of Newmark’s method publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.1620151011 – ident: CR41 – volume: 17 start-page: 1750024 issue: 2 year: 2016 ident: CR17 article-title: An improved time integration algorithm: a collocation time finite element approach publication-title: Int. J. Struct. Stab. Dyn. doi: 10.1142/S0219455417500249 – volume: 83 start-page: 2513 issue: 31–32 year: 2005 end-page: 2524 ident: CR28 article-title: On a composite implicit time integration procedure for nonlinear dynamics publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2005.08.001 – volume: 5 start-page: 283 issue: 3 year: 1977 ident: 1637_CR12 publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.4290050306 – volume: 182 start-page: 176 issue: C year: 2017 ident: 1637_CR15 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2016.11.018 – volume: 28 start-page: 83 issue: 2 year: 2002 ident: 1637_CR14 publication-title: Comput. Mech. doi: 10.1007/s00466-001-0273-z – volume: 202 start-page: 60 year: 2018 ident: 1637_CR40 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.03.006 – volume: 15 start-page: 1562 issue: 10 year: 1980 ident: 1637_CR11 publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.1620151011 – volume: 17 start-page: 1750024 issue: 2 year: 2016 ident: 1637_CR17 publication-title: Int. J. Struct. Stab. Dyn. doi: 10.1142/S0219455417500249 – volume: 85 start-page: 1743 issue: 12 year: 2015 ident: 1637_CR24 publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-015-1016-5 – ident: 1637_CR41 doi: 10.1002/nme.6098 – volume-title: Numerical Initial Value Problems in Ordinary Differential Equations year: 1971 ident: 1637_CR29 – volume: 85 start-page: 158 issue: 3 year: 2007 ident: 1637_CR39 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2006.08.072 – volume: 60 start-page: 371 year: 1993 ident: 1637_CR4 publication-title: J. Appl. Mech. doi: 10.1115/1.2900803 – volume: 18 start-page: 133 issue: 2 year: 1978 ident: 1637_CR27 publication-title: BIT Numer. Math. doi: 10.1007/BF01931689 – volume: 85 start-page: 67 issue: 3 year: 1959 ident: 1637_CR1 publication-title: J. Eng. Mech. Div. doi: 10.1061/JMCEA3.0000098 – volume: 229 start-page: 3019 issue: 8 year: 2010 ident: 1637_CR10 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2009.12.028 – ident: 1637_CR2 – volume: 128 start-page: 243 issue: 5 year: 2013 ident: 1637_CR38 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2013.07.001 – volume: 16 start-page: 1850111 year: 2018 ident: 1637_CR18 publication-title: Int. J. Comput. Methods doi: 10.1142/S0219876218501116 – volume: 31 start-page: 791 issue: 4 year: 2015 ident: 1637_CR22 publication-title: Eng. Comput. doi: 10.1007/s00366-014-0390-x – volume: 67 start-page: 367 issue: 3 year: 1988 ident: 1637_CR13 publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/0045-7825(88)90053-9 – volume: 55 start-page: 1041 issue: 5 year: 2015 ident: 1637_CR20 publication-title: Comput. Mech. doi: 10.1007/s00466-015-1152-3 – volume: 123 start-page: 93 year: 2013 ident: 1637_CR32 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2013.02.006 – volume: 84 start-page: 071008 issue: 7 year: 2017 ident: 1637_CR43 publication-title: J. Appl. Mech. ASME doi: 10.1115/1.4036821 – volume: 17 start-page: 540 issue: 9 year: 1950 ident: 1637_CR3 publication-title: J. Aeronaut. Sci. doi: 10.2514/8.1722 – volume: 85 start-page: 437 issue: 7–8 year: 2007 ident: 1637_CR7 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2006.09.004 – volume-title: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis year: 2000 ident: 1637_CR25 – volume: 202 start-page: 15 year: 2018 ident: 1637_CR9 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.02.007 – volume: 8 start-page: 50 issue: 1 year: 2000 ident: 1637_CR42 publication-title: J. Mar. Sci. Technol. – volume: 59 start-page: 597 issue: 5 year: 2004 ident: 1637_CR23 publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.873 – volume: 83 start-page: 2513 issue: 31–32 year: 2005 ident: 1637_CR28 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2005.08.001 – volume: 98–99 start-page: 1 year: 2012 ident: 1637_CR8 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2012.01.009 – volume: 55 start-page: 455 issue: 3 year: 2015 ident: 1637_CR31 publication-title: Comput. Mech. doi: 10.1007/s00466-014-1096-z – volume: 1 start-page: 1 issue: 1 year: 2010 ident: 1637_CR21 publication-title: Arch. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. – volume: 69 start-page: 255 year: 2019 ident: 1637_CR34 publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2018.12.027 – volume: 37 start-page: 1389 issue: 12 year: 2008 ident: 1637_CR6 publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.818 – volume: 212 start-page: 289 year: 2019 ident: 1637_CR36 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.10.008 – volume: 96 start-page: 2475 issue: 4 year: 2019 ident: 1637_CR37 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-019-04936-4 – ident: 1637_CR19 doi: 10.1155/2015/907023 – volume: 212 start-page: 299 year: 2019 ident: 1637_CR35 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2018.11.001 – volume: 6 start-page: 99 issue: 1 year: 1978 ident: 1637_CR5 publication-title: Earthq. Eng. Struct. Dyn. doi: 10.1002/eqe.4290060111 – volume: 196 start-page: 341 year: 2018 ident: 1637_CR16 publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2017.10.002 – volume: 2008 start-page: 267 issue: 4 year: 2008 ident: 1637_CR30 publication-title: Mathe. Prob. Eng. – volume: 109 start-page: 368 issue: 3 year: 2017 ident: 1637_CR33 publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.5291 – volume-title: Dynamics of Structures: Theory and Applications to Earthquake Engineering year: 2011 ident: 1637_CR26
SSID	ssj0004520
Score	2.3166547
Snippet	A novel family of composite sub-step algorithms with controllable numerical dissipations is proposed in this paper to obtain reliable numerical responses in...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	737
SubjectTerms	Algorithms Classical Mechanics Computational efficiency Computing costs Cost analysis Engineering Frequency ranges Linear systems Original Stability Stiffness matrix Theoretical and Applied Mechanics
Title	A novel family of composite sub-step algorithms with desired numerical dissipations for structural dynamics
URI	https://link.springer.com/article/10.1007/s00419-019-01637-7 https://www.proquest.com/docview/2377702764
Volume	90
WOSCitedRecordID	wos000520179000006&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: 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/eLvHCXMwnV1LSwMxEA5aPejBt1hf5OBNA-luuskei1g8SBEfpbdlk0y0uO6Wbtvfb7KPtooKeggsbDYsM0lmJvPlG4Qu4rZuaeFpYm0dEKZYSKRSAbHGR1LfSGWKWof9O97ricEgvK8uheU12r1OSRY79fyym6OGctge1wKfE76K1qy5E245Pjz2lznCi5OV0A-J82aqqzLfj_HZHC18zC9p0cLadLf_9587aKvyLnGnnA67aAXSPbS5xDm4j946OM1mkODyaANnBjtYucNuAc6nkli1j3CcvGTj4eT1PcfupBZryO3eqHE6LTM8CXaJ_BqOja3ni0smWsfigXVZ5j4_QM_dm6frW1JVXCDKLsUJsdEZeEY4dD_TmkJoZMBBmEBqKsGFQpKCfVYavNhVAqSBMQZ4SGPOZWD8Q9RIsxSOEG7FvjDtmLUoAOOGxkIDM66qhwiZjWqaqFULPlIVHbmripFEcyLlQpARLZoVZMSb6HL-zagk4_i192mtz6hamHnk-ZxzG4oHrImuav0tXv882vHfup-gDc9F5gXG5xQ1rArgDK2r2WSYj8-LCfsBZ2LmPw
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEB58gXrwLa6umoM3DWTb2LRHEUVxXUTXZW-laSa6WFuxu_v7TfpYH6igh0ChaSgzSWYm8-UbgIPoWLWU7yhqbB1SHvOAyjj2qDE-krlaxrqoddhri07H7_eDm-pSWF6j3euUZLFTTy67WWooi-2xzXMFFdMwy43FskC-27veR47w4mQlcANqvZnqqsz3Y3w2R-8-5pe0aGFtzpf_958rsFR5l-SknA6rMIXpGix-4Bxch6cTkmZjTEh5tEEyTSys3GK3kOQjSY3aX0iUPGSvg-Hjc07sSS1RmJu9UZF0VGZ4EmIT-TUcmxjPl5RMtJbFg6iyzH2-AffnZ93TC1pVXKCxWYpDaqIzdLRv0f1cKYaBlp5AX3tSMYk2FJIMzXOs0IlsJUDmaa1RBCwSQnra3YSZNEtxC0grcn19HPEWQ-RCs8hXyLWt6uEH3EQ1DWjVgg_jio7cVsVIwgmRciHIkBXNCDIUDTicfPNSknH82rtZ6zOsFmYeOq4QwoTiHm_AUa2_99c_j7b9t-77MH_RvW6H7cvO1Q4sODZKL_A-TZgx6sBdmIvHw0H-uldM3jc63ukj
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dS8MwED_8QvTBb3E6NQ--abBru6Z9FHUoyhDU4VtpkouKsxt2E_zvzfVjTlFBfAgUmoSSS3p3ud_9DmAvaeqGDl3Nra5D7is_4lKpgFvlIx3PSGXyWoedS9Fuh3d30dVYFn-Odq9CkkVOA7E0pYPDvjaHo8Q3ookinA-1wBNcTMK0T0WDyF-_7ozzhee3LJEXcbJsyrSZ7-f4rJo-7M0vIdJc87QW___NS7BQWp3sqNgmyzCB6QrMj3ERrsLTEUt7r9hlxZUH6xlGcHPCdCHLhpLb7dBnSfe-9_I4eHjOGN3gMo2Z_Wdqlg6LyE-XUYC_gmkzaxGzgqGW2D2Yfkvt5Cpbg9vW6c3xGS8rMXBlj-iAW68NXRMS6t_X2sHIyEBgaAKpHYnkIkkH7bPS6CZUIdAJjDEoIicRQgbGW4eptJfiBrBG4oWmmVhhIfrCOEmo0TdU7SOMfOvt1KBRCSFWJU05VcvoxiOC5XwhYydvdiFjUYP90Zh-QdLxa-96Jdu4PLBZ7HpCCOuiB34NDipZfrz-ebbNv3Xfhdmrk1Z8ed6-2II5l5z3HAZUhykrDdyGGfU6eMxedvJ9_A5w6vIH
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=A+novel+family+of+composite+sub-step+algorithms+with+desired+numerical+dissipations+for+structural+dynamics&rft.jtitle=Archive+of+applied+mechanics+%281991%29&rft.au=Li%2C+Jinze&rft.au=Yu%2C+Kaiping&rft.date=2020-04-01&rft.pub=Springer+Nature+B.V&rft.issn=0939-1533&rft.eissn=1432-0681&rft.volume=90&rft.issue=4&rft.spage=737&rft.epage=772&rft_id=info:doi/10.1007%2Fs00419-019-01637-7&rft.externalDBID=NO_FULL_TEXT
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