An Improved Higher-Order Time Integration Algorithm for Structural Dynamics
Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate algorithm, th...
Uložené v:
| Vydané v: | Computer modeling in engineering & sciences Ročník 126; číslo 2; s. 549 - 575 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Henderson
Tech Science Press
01.01.2021
|
| Predmet: | |
| ISSN: | 1526-1492, 1526-1506, 1526-1506 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate
algorithm, this paper proposes a two sub-step higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time step interval [tk, tk + h] where h stands for the size of a time step is divided
into two sub-steps [tk, tk + γh] and [tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the first sub-step to ensure low-frequency accuracy and a dissipative third-order
algorithm is employed in the second sub-step to filter out the contribution of high-frequency modes. Besides, two approaches are used to design the algorithm parameter γ. The first approach determines γ by maximizing low-frequency accuracy and the other determines
γ for quickly damping out high-frequency modes. The present algorithm uses ρ∞ to exactly control the degree of numerical dissipation, and it is third-order accurate when 0 ≤ ρ∞ < 1 and fourth-order accurate
when ρ∞ = 1. Furthermore, the proposed algorithm is self-starting and easy to implement. Some illustrative linear and nonlinear examples are solved to check the performances of the proposed two sub-step higher-order algorithm. |
|---|---|
| AbstractList | Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate algorithm, this paper proposes a two sub-step higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time step interval [tk, tk + h] where h stands for the size of a time step is divided into two sub-steps [tk, tk + γh] and [tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the rst sub-step to ensure low-frequency accuracy and a dissipative third-order algorithm is employed in the second sub-step to lter out the contribution of high-frequency modes. Besides, two approaches are used to design the algorithm parameter γ. The rst approach determines γ by maximizing low-frequency accuracy and the other determines γ for quickly damping out highfrequency modes. The present algorithm uses ρ∞ to exactly control the degree of numerical dissipation, and it is third-order accurate when 0 ≤ ρ∞ < 1 and fourth-order accurate when ρ∞ = 1. Furthermore, the proposed algorithm is self-starting and easy to implement. Some illustrative linear and nonlinear examples are solved to check the performances of the proposed two sub-step higher-order algorithm. Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate algorithm, this paper proposes a two sub-step higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time step interval [tk, tk + h] where h stands for the size of a time step is divided into two sub-steps [tk, tk + γh] and [tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the first sub-step to ensure low-frequency accuracy and a dissipative third-order algorithm is employed in the second sub-step to filter out the contribution of high-frequency modes. Besides, two approaches are used to design the algorithm parameter γ. The first approach determines γ by maximizing low-frequency accuracy and the other determines γ for quickly damping out high-frequency modes. The present algorithm uses ρ∞ to exactly control the degree of numerical dissipation, and it is third-order accurate when 0 ≤ ρ∞ < 1 and fourth-order accurate when ρ∞ = 1. Furthermore, the proposed algorithm is self-starting and easy to implement. Some illustrative linear and nonlinear examples are solved to check the performances of the proposed two sub-step higher-order algorithm. |
| Author | Ji, Yi Xing, Yufeng |
| Author_xml | – sequence: 1 givenname: Yi surname: Ji fullname: Ji, Yi – sequence: 2 givenname: Yufeng surname: Xing fullname: Xing, Yufeng |
| BookMark | eNpNkEtPwzAQhC1UJNrCD-BmiXOK30lvVOXRiko9UM6W4zipq8YptoPUf09CQLCXncPM7OqbgJFrnAHgFqMZJQKxe12bMCOI4BnCjDB2AcaYE5FgjsToV7M5uQKTEA4IUUGz-Ri8Lhxc1yfffJoCrmy1Nz7Z-sJ4uLO1gWsXTeVVtI2Di2PVeBv3NSwbD9-ib3VsvTrCx7NTtdXhGlyW6hjMzc-egvfnp91ylWy2L-vlYpNoSnhMWE4LlXGGuUE6FSbVnJUFoQTrzGiBC87yucKcYqaz1GQ853mhc4FyluZEYzoFd0Nv9_ZHa0KUh6b1rjspCcsYI4ShtHPhwaV9E4I3pTx5Wyt_lhjJb2ayZyZ7ZnJg1mUehox1lXFR_RXHcPpv7wcTMQiEiFQ-9kLQLxpTdXE |
| Cites_doi | 10.1016/j.compstruc.2019.05.019 10.1115/1.4036821 10.1016/j.engstruct.2019.05.095 10.1007/s10409-012-0081-z 10.1115/1.3424303 10.1002/(SICI)1097-0207(19990620)45:5¡569::AID-NME595¿3.0.CO;2-A 10.1002/nme.6251 10.1002/1097-0207(20010228)50:6¡1429::AID-NME79¿3.0.CO;2-A 10.1016/j.compstruc.2005.08.001 10.1023/A:1015532629854 10.1002/nme.1620110212 10.1016/0045-7825(95)00963-9 10.1002/(SICI)1097-0207(19990720)45:8<971::AID-NME613>3.0.CO;2-M 10.1115/1.3423721 10.1007/BF01931689 10.31614/cmes.2019.03879 10.1002/nme.4745 10.1002/nme.873 10.1016/j.compstruc.2018.11.001 10.1016/j.compstruc.2020.106210 10.3390/app7050471 10.1007/s11071-019-04936-4 10.1016/j.cma.2015.06.016 10.1016/j.apnum.2019.07.008 10.1061/(ASCE)0733-9445(2008)134:6(973) 10.1016/j.compstruc.2017.10.002 10.1007/s00466-015-1152-3 10.1016/j.compstruc.2018.03.006 10.1016/j.compstruc.2016.11.018 |
| ContentType | Journal Article |
| Copyright | 2021. This work is licensed under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2021. This work is licensed under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 7SC 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M7S P5Z P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.32604/cmes.2021.014244 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest MSED ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials - QC ProQuest Central ProQuest Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Engineering Database ProQuest advanced technologies & aerospace journals ProQuest Advanced Technologies & Aerospace Collection Proquest Central Premium ProQuest One Academic (New) Publicly Available Content Database 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 Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts Engineering Database ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EISSN | 1526-1506 |
| EndPage | 575 |
| ExternalDocumentID | 10_32604_cmes_2021_014244 tsp/cmes/2021/00000126/00000002/art00006 |
| GroupedDBID | -~X AAFWJ ACIWK AFKRA ALMA_UNASSIGNED_HOLDINGS BENPR CCPQU EBS EJD F5P IPNFZ J9A OK1 PIMPY RTS AAYXX ABJCF ADMLS AFFHD ARAPS BGLVJ CITATION HCIFZ K7- M7S PHGZM PHGZT PQGLB PTHSS RIG 7SC 7TB 8FD 8FE 8FG ABUWG AZQEC DWQXO FR3 GNUQQ JQ2 KR7 L6V L7M L~C L~D P62 PKEHL PQEST PQQKQ PQUKI PRINS PUEGO |
| ID | FETCH-LOGICAL-c325t-4b3da85415e0c76e7c54fd2321c8ec61d54b9a15314c87e85b5bdcb60b47b2c13 |
| IEDL.DBID | K7- |
| ISICitedReferencesCount | 3 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000639494500008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1526-1492 1526-1506 |
| IngestDate | Sat Sep 06 07:30:06 EDT 2025 Sat Nov 29 05:50:21 EST 2025 Fri Nov 08 06:05:47 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c325t-4b3da85415e0c76e7c54fd2321c8ec61d54b9a15314c87e85b5bdcb60b47b2c13 |
| Notes | 1526-1492(20210210)126:2L.549;1- ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://www.proquest.com/docview/2484422407?pq-origsite=%requestingapplication% |
| PQID | 2484422407 |
| PQPubID | 2048798 |
| PageCount | 27 |
| ParticipantIDs | ingenta_journals_tsp_cmes_2021_00000126_00000002_art00006 crossref_primary_10_32604_cmes_2021_014244 proquest_journals_2484422407 |
| PublicationCentury | 2000 |
| PublicationDate | 2021-01-01 |
| PublicationDateYYYYMMDD | 2021-01-01 |
| PublicationDate_xml | – month: 01 year: 2021 text: 2021-01-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Henderson |
| PublicationPlace_xml | – name: Henderson |
| PublicationTitle | Computer modeling in engineering & sciences |
| PublicationYear | 2021 |
| Publisher | Tech Science Press |
| Publisher_xml | – name: Tech Science Press |
| References | Shao (ref2) 1988 Hughes (ref18) 1977; 11 Soares (ref1) 2015; 107 Kuhl (ref17) 1999; 45 Qin (ref31) 2017; 7 Kwon (ref4) 2019; 118 Zhang (ref23) 2019; 121 Zhang (ref13) 2018; 202 Zhou (ref3) 2004; 59 Li (ref15) 2019; 96 Lu (ref24) 2001; 22 Xing (ref30) 2012; 28 Kim (ref9) 2019; 195 Ji (ref10) 2020; 231 Xing (ref14) 2019; 221 Wen (ref12) 2017; 182 Kennedy (ref26) 2019; 146 Fung (ref27) 1999; 45 Rezaiee-Pajand (ref32) 2008; 134 Noh (ref7) 2019; 212 Hughes (ref33) 1978 Dahlquist (ref25) 1978; 18 Chandra (ref11) 2015; 55 Hughes (ref19) 1978; 45 Belytschko (ref16) 1975; 42 Kuhl (ref20) 1996; 136 Bathe (ref6) 2005; 83 Kim (ref28) 2017; 84 Bank (ref5) 1985; ED-32 Krenk (ref21) 2014; 100 Krenk (ref22) 2015; 295 Kim (ref8) 2018; 196 Fung (ref29) 2000; 50 |
| References_xml | – volume: ED-32 start-page: 436 year: 1985 ident: ref5 article-title: Transient simulations of silicon devices and circuits publication-title: IEEE Transactions on Electron Devices – volume: 221 start-page: 157 year: 2019 ident: ref14 article-title: On the construction of a type of composite time integration methods publication-title: Computers & Structures doi: 10.1016/j.compstruc.2019.05.019 – volume: 84 start-page: 73 year: 2017 ident: ref28 article-title: A new family of higher-order time integration algorithms for the analysis of structural dynamics publication-title: International Journal of Applied Mechanics doi: 10.1115/1.4036821 – volume: 107 start-page: 223 year: 2015 ident: ref1 article-title: An explicit time marching technique with solution-adaptive time integration parameters publication-title: Computer Modeling in Engineering & Sciences – volume: 195 start-page: 358 year: 2019 ident: ref9 article-title: A new family of two-stage explicit time integration methods with dissipation control capability for structural dynamics publication-title: Engineering Structures doi: 10.1016/j.engstruct.2019.05.095 – start-page: C16 year: 1988 ident: ref2 article-title: The direct integration three-parameters optimal schemes for structural dynamics – volume: 28 start-page: 782 year: 2012 ident: ref30 article-title: Differential quadrature time element method for structural dynamics publication-title: Acta Mechanica Sinica doi: 10.1007/s10409-012-0081-z – volume: 45 start-page: 366 year: 1978 ident: ref19 article-title: Finite-element methods for nonlinear elastodynamics which conserve energy publication-title: Journal of Applied Mechanics doi: 10.1115/1.3424303 – volume: 45 start-page: 569 year: 1999 ident: ref17 article-title: Energy-conserving and decaying algorithms in nonlinear structural dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19990620)45:5¡569::AID-NME595¿3.0.CO;2-A – volume: 121 start-page: 925 year: 2019 ident: ref23 article-title: An energy-conserving and decaying time integration method for general nonlinear dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.6251 – volume: 50 start-page: 1429 year: 2000 ident: ref29 article-title: Solving initial value problems by differential quadrature method-Part 2: Second- and higher-order equations publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/1097-0207(20010228)50:6¡1429::AID-NME79¿3.0.CO;2-A – volume: 83 start-page: 2513 year: 2005 ident: ref6 article-title: On a composite implicit time integration procedure for nonlinear dynamics publication-title: Computers & Structures doi: 10.1016/j.compstruc.2005.08.001 – volume: 22 start-page: 173 year: 2001 ident: ref24 article-title: Direct integration methods with integral model for dynamic systems publication-title: Applied Mathematics and Mechanics-English Edition doi: 10.1023/A:1015532629854 – volume: 11 start-page: 383 year: 1977 ident: ref18 article-title: A note on the stability of Newmark’s algorithm in nonlinear structural dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620110212 – volume: 136 start-page: 293 year: 1996 ident: ref20 article-title: Constraint energy momentum algorithm and its application to nonlinear dynamics of shells publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(95)00963-9 – volume: 45 start-page: 971 year: 1999 ident: ref27 article-title: Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 2: Second-order equations publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19990720)45:8<971::AID-NME613>3.0.CO;2-M – volume: 42 start-page: 865 year: 1975 ident: ref16 article-title: On the unconditional stability of an implicit algorithm for nonlinear structural dynamics publication-title: Journal of Applied Mechanics doi: 10.1115/1.3423721 – volume: 18 start-page: 133 year: 1978 ident: ref25 article-title: On accuracy and unconditionally stability of linear multistep methods for second order differential equations publication-title: BIT Numerical Mathematics doi: 10.1007/BF01931689 – volume: 118 start-page: 41 year: 2019 ident: ref4 article-title: Development of non-dissipative direct time integration method for structural dynamics application publication-title: Computer Modeling in Engineering & Sciences doi: 10.31614/cmes.2019.03879 – volume: 100 start-page: 458 year: 2014 ident: ref21 article-title: Global format for energy-momentum based time integration in nonlinear dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.4745 – volume: 59 start-page: 597 year: 2004 ident: ref3 article-title: Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.873 – volume: 212 start-page: 299 year: 2019 ident: ref7 publication-title: Computers & Structures doi: 10.1016/j.compstruc.2018.11.001 – volume: 231 start-page: 106210 year: 2020 ident: ref10 article-title: An optimized three-sub-step composite time integration method with controllable numerical dissipation publication-title: Computers & Structures doi: 10.1016/j.compstruc.2020.106210 – volume: 7 start-page: app7050471 year: 2017 ident: ref31 article-title: An improved differential quadrature time element method publication-title: Applied Sciences doi: 10.3390/app7050471 – volume: 96 start-page: 2475 year: 2019 ident: ref15 article-title: A novel family of controllably dissipative composite integration algorithms for structural dynamics analysis publication-title: Nonlinear Dynamics doi: 10.1007/s11071-019-04936-4 – volume: 295 start-page: 39 year: 2015 ident: ref22 article-title: Conservative fourth-order time integration of nonlinear dynamic systems publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/j.cma.2015.06.016 – volume: 146 start-page: 221 year: 2019 ident: ref26 article-title: Diagonally implicit Runge–Kutta methods for stiff ODEs publication-title: Applied Numerical Mathematics doi: 10.1016/j.apnum.2019.07.008 – year: 1978 ident: ref33 publication-title: The finite element method: Linear static and dynamic finite element analysis – volume: 134 start-page: 973 year: 2008 ident: ref32 article-title: Implicit higher-order accuracy method for numerical integration in dynamic analysis publication-title: Journal of Structural Engineering doi: 10.1061/(ASCE)0733-9445(2008)134:6(973) – volume: 196 start-page: 341 year: 2018 ident: ref8 article-title: An improved implicit time integration algorithm: The generalized composite time integration algorithm publication-title: Computers & Structures doi: 10.1016/j.compstruc.2017.10.002 – volume: 55 start-page: 1041 year: 2015 ident: ref11 article-title: A robust composite time integration scheme for snap-through problems publication-title: Computational Mechanics doi: 10.1007/s00466-015-1152-3 – volume: 202 start-page: 60 year: 2018 ident: ref13 article-title: Optimization of a class of composite method for structural dynamics publication-title: Computers & Structures doi: 10.1016/j.compstruc.2018.03.006 – volume: 182 start-page: 176 year: 2017 ident: ref12 article-title: A novel sub-step composite implicit time integration scheme for structural dynamics publication-title: Computers & Structures doi: 10.1016/j.compstruc.2016.11.018 |
| SSID | ssj0036389 |
| Score | 2.2756991 |
| Snippet | Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which... |
| SourceID | proquest crossref ingenta |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 549 |
| SubjectTerms | Accuracy Algorithms Control stability Controllable Dissipation Damping Design parameters Higher-Order Accuracy Numerical dissipation Time integration Time Integration Algorithm Two-Sub-Step Unconditional Stability |
| Title | An Improved Higher-Order Time Integration Algorithm for Structural Dynamics |
| URI | https://www.ingentaconnect.com/content/tsp/cmes/2021/00000126/00000002/art00006 https://www.proquest.com/docview/2484422407 |
| Volume | 126 |
| WOSCitedRecordID | wos000639494500008&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: Computer Science Database customDbUrl: eissn: 1526-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0036389 issn: 1526-1492 databaseCode: K7- dateStart: 20000101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1526-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0036389 issn: 1526-1492 databaseCode: M7S dateStart: 20000101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest advanced technologies & aerospace journals customDbUrl: eissn: 1526-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0036389 issn: 1526-1492 databaseCode: P5Z dateStart: 20000101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1526-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0036389 issn: 1526-1492 databaseCode: BENPR dateStart: 20000101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 1526-1506 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0036389 issn: 1526-1492 databaseCode: PIMPY dateStart: 20000101 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV05T8MwFH7iGli4EeWoPDAhGWLHSewJFWgFAkrEIQFLFDsuINFSSMXvx1cELCwsUSQnTuTPfpefvwewG2lFGWcCszJSmKVlhsUgYlikpUgN5pxXrmrJRdbv8_t7kYeAWx3SKhuZ6AR19aZsjPzA9sic_3E4fse2apTdXQ0lNKZhllBK7Dw_z3AjiWOrjR1fKk2x8QSo39U0BkvEDtRQW7ZuSvYjd9jrl176fbDph4B2Wqe3-N__XYKFYG-ijp8gyzClRyuw2NRyQGFpr8J5Z4R8gEFXyCd_4CtLy4nsIRF0FlglDIqo8_pkPjR5HiJj8KIbR0BryTvQia9uX6_BXa97e3yKQ6EFrGKaTDCTcVXyxOhyHaks1ZlK2KAythZRXKuUVAmTojSykTDFM80TmchKyTSSLJNUkXgdZkZvI70BqJSMC85LbmnzZRKXIiOaKGU9HSrjQQv2mmEuxp5PozB-iMOksJgUFpPCY9ICEYAowsqqi0k9_vmc252gqb8x0r0wC87p4BZsN7h8v_wNyubfzVswb_v3sZZtmDFDqXdgTn1OXuqPNswedfv5ddvNtrZNF70x1zx5NC352WX-8AXhotvp |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4BrQQXKC2I5VF8aC9ILonjxPYBoRUPsdrttlJB4mZsx9sisWEhKxB_it-IH4mACzcOvUVK4sieL_Oy5xuAb4k1hHIqMFWJwbRQDItRQrEolCiczDkvQ9eSARsO-fm5-D0Dj20tjD9W2erEoKjLa-Nz5Lt-RBrij_3JDfZdo_zuattCI8Kibx_uXchW7_UOnXy_E3J8dHpwgpuuAthkJJ9iqrNS8dwZLpsYVlhmcjoqnWORGm5NkZY51UI5RZBSw5nluc51aXSRaMo0MWnmxp2FDzTjzHP19xluNX_mrX_gZyUFdpEHibuozkFK6K4ZW88OTtIfSSgue2UHXxdSvTAIwcodL_1v6_MJFht_GnXjD7AMM7b6DEttrwrUqK4v0O9WKCZQbIni4Rb8y9OOIl8Eg3oNa4ZDKepe_XUTm_4bI-fQoz-BYNeTk6DDh0qNL029AmfvMqVVmKuuK7sGSGnKBeeK-7YAOs-UYKlNjfGRHNHZqAM7rVjlJPKFSBdnBQxIjwHpMSAjBjogGsHLRnPUclpPXj4Xdl9IES-c9ZJOoQQfowObLQ6eX34Gwfrbt7dh_uT050AOesP-Biz4b8W80ibMuWW1W_DR3E0v69uvAeEILt4bMk_aPjO7 |
| 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=An+Improved+Higher-Order+Time+Integration+Algorithm+for+Structural+Dynamics&rft.jtitle=Computer+modeling+in+engineering+%26+sciences&rft.au=Ji%2C+Yi&rft.au=Xing%2C+Yufeng&rft.date=2021-01-01&rft.pub=Tech+Science+Press&rft.issn=1526-1492&rft.volume=126&rft.issue=2&rft.spage=549&rft.epage=575&rft_id=info:doi/10.32604%2Fcmes.2021.014244&rft.externalDocID=tsp%2Fcmes%2F2021%2F00000126%2F00000002%2Fart00006 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1526-1492&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1526-1492&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1526-1492&client=summon |