An explicit time integration algorithm for linear and non-linear finite element analyses of dynamic and wave problems

Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems. Design/methodology/approach The algorithm is completely explicit so that no linear equatio...

Full description

Saved in:
Bibliographic Details
Published in:Engineering computations Vol. 36; no. 1; pp. 161 - 177
Main Authors: Zhao, Mi, Li, Huifang, Cao, Shengtao, Du, Xiuli
Format: Journal Article
Language:English
Published: Bradford Emerald Publishing Limited 08.02.2019
Emerald Group Publishing Limited
Subjects:
Algorithms
Damping
Degrees of freedom
Differential equations
Dynamic stability
Eigenvalues
Elastoplasticity
Finite element method
High rise buildings
Linear equations
Mass matrix
Mathematical analysis
Matrix methods
Methods
Numerical stability
Propagation
Seismic stability
Stability analysis
Time integration
Two dimensional analysis
Velocity
Wave propagation
Structural dynamics
Wave propagation
Finite element analysis
Explicit time integration
Single-step algorithm
Stability and accuracy
ISSN:0264-4401, 1758-7077
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems. Design/methodology/approach The algorithm is completely explicit so that no linear equation system requires solving, if the mass matrix of the finite element equation is diagonal and whether the damping matrix does or not. The algorithm is a single-step method that has the simple starting and is applicable to the analysis with the variable time step size. The algorithm is second-order accurate and conditionally stable. Its numerical stability, dissipation and dispersion are analyzed for the dynamic single-degree-of-freedom equation. The stability of the multi-degrees-of-freedom non-proportional damping system can be evaluated directly by the stability theory on ordinary differential equation. Findings The performance of the proposed algorithm is demonstrated by several numerical examples including the linear single-degree-of-freedom problem, non-linear two-degree-of-freedom problem, wave propagation problem in two-dimensional layer and seismic elastoplastic analysis of high-rise structure. Originality/value A new single-step second-order accurate explicit time integration algorithm is proposed to solve the linear and non-linear dynamic finite element equations. The algorithm has advantages on the numerical stability and accuracy over the existing modified central difference method and Chung-Lee method though the theory and numerical analyses.
AbstractList Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems. Design/methodology/approach The algorithm is completely explicit so that no linear equation system requires solving, if the mass matrix of the finite element equation is diagonal and whether the damping matrix does or not. The algorithm is a single-step method that has the simple starting and is applicable to the analysis with the variable time step size. The algorithm is second-order accurate and conditionally stable. Its numerical stability, dissipation and dispersion are analyzed for the dynamic single-degree-of-freedom equation. The stability of the multi-degrees-of-freedom non-proportional damping system can be evaluated directly by the stability theory on ordinary differential equation. Findings The performance of the proposed algorithm is demonstrated by several numerical examples including the linear single-degree-of-freedom problem, non-linear two-degree-of-freedom problem, wave propagation problem in two-dimensional layer and seismic elastoplastic analysis of high-rise structure. Originality/value A new single-step second-order accurate explicit time integration algorithm is proposed to solve the linear and non-linear dynamic finite element equations. The algorithm has advantages on the numerical stability and accuracy over the existing modified central difference method and Chung-Lee method though the theory and numerical analyses.
PurposeThe purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems.Design/methodology/approachThe algorithm is completely explicit so that no linear equation system requires solving, if the mass matrix of the finite element equation is diagonal and whether the damping matrix does or not. The algorithm is a single-step method that has the simple starting and is applicable to the analysis with the variable time step size. The algorithm is second-order accurate and conditionally stable. Its numerical stability, dissipation and dispersion are analyzed for the dynamic single-degree-of-freedom equation. The stability of the multi-degrees-of-freedom non-proportional damping system can be evaluated directly by the stability theory on ordinary differential equation.FindingsThe performance of the proposed algorithm is demonstrated by several numerical examples including the linear single-degree-of-freedom problem, non-linear two-degree-of-freedom problem, wave propagation problem in two-dimensional layer and seismic elastoplastic analysis of high-rise structure.Originality/valueA new single-step second-order accurate explicit time integration algorithm is proposed to solve the linear and non-linear dynamic finite element equations. The algorithm has advantages on the numerical stability and accuracy over the existing modified central difference method and Chung-Lee method though the theory and numerical analyses.
Author Du, Xiuli
Li, Huifang
Zhao, Mi
Cao, Shengtao
Author_xml – sequence: 1
  givenname: Mi
  surname: Zhao
  fullname: Zhao, Mi
  email: zhaomi@bjut.edu.cn
– sequence: 2
  givenname: Huifang
  surname: Li
  fullname: Li, Huifang
  email: S201504005@emails.bjut.edu.cn
– sequence: 3
  givenname: Shengtao
  surname: Cao
  fullname: Cao, Shengtao
  email: caoshengtao@cabrtech.com
– sequence: 4
  givenname: Xiuli
  surname: Du
  fullname: Du, Xiuli
  email: duxiuli@bjut.edu.cn
BookMark eNp9kUtPAyEURonRxPpYuyVxjYVhZpguTVMfiYkbXZM7cEdpZpgKVO2_l9puNMYVueE79yOHE3LoR4-EXAh-JQRvpos544oVXDSMS1EckIlQVcMUV-qQTHhRl6wsuTgmJzEuOedKSj4h62tP8XPVO-MSTW5A6nzClwDJjZ5C_zIGl14H2o2B9s4jBAre0tzN9mPnvEtIsccBfcq30G8iRjp21G48DM58Ex_wjnQVxjbn4hk56qCPeL4_T8nzzeJpfsceHm_v59cPzEjeJFYgKrQKVF1IqFEYVbaA1lYghAHTNhW2ViC2ncTazEw7s2CwbZq2NNbUtTwll7u9ufhtjTHp5bgO-YVRF5Usy2amBM-p6S5lwhhjwE6vghsgbLTgeutWL-aaK711q7duM1H9IrK-b2UpgOv_4a52XHYVoLd_FP34RPkFc_GQnQ
CitedBy_id crossref_primary_10_1007_s40571_022_00517_2
crossref_primary_10_1016_j_soildyn_2021_106904
crossref_primary_10_1016_j_apm_2025_116277
crossref_primary_10_1016_j_cma_2022_115653
crossref_primary_10_1016_j_cma_2024_117014
crossref_primary_10_1108_EC_07_2020_0377
crossref_primary_10_1007_s00419_022_02320_0
crossref_primary_10_1016_j_euromechsol_2022_104829
crossref_primary_10_1016_j_compgeo_2025_107366
crossref_primary_10_1016_j_apm_2022_10_012
crossref_primary_10_1016_j_cma_2022_115738
crossref_primary_10_1108_EC_07_2022_0442
crossref_primary_10_1016_j_cma_2022_114945
Cites_doi 10.1002/nme.1620210713
10.1115/1.2900803
10.1016/0045-7825(86)90107-6
10.1016/j.ijimpeng.2008.07.003
10.1016/0045-7825(92)90100-X
10.1080/13632460701364528
10.1016/0020-7683(89)90050-4
10.1016/0029-5493(78)90184-X
10.1061/(ASCE)0733-9399(1998)124:8(892)
10.1002/nme.1620151011
10.1002/nme.3147
10.1002/nme.1620372303
10.1016/S0045-7825(96)01036-5
10.1016/j.advengsoft.2004.10.011
10.1061/JMCEA3.0000098
10.1002/nme.1620381308
ContentType Journal Article
Copyright Emerald Publishing Limited
Emerald Publishing Limited 2018
Copyright_xml – notice: Emerald Publishing Limited
– notice: Emerald Publishing Limited 2018
DBID AAYXX
CITATION
7SC
7TB
7WY
7WZ
7XB
8AO
8FD
8FE
8FG
ABJCF
AFKRA
ARAPS
AZQEC
BENPR
BEZIV
BGLVJ
CCPQU
DWQXO
FR3
F~G
GNUQQ
HCIFZ
JQ2
K6~
K7-
KR7
L.-
L.0
L6V
L7M
L~C
L~D
M0C
M0N
M2P
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQBIZ
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOI 10.1108/EC-07-2018-0312
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ABI/INFORM Collection
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ProQuest Pharma Collection
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest SciTech Premium Collection Technology Collection Materials Science & Engineering Database
ProQuest Central UK/Ireland
ProQuest SciTech Premium Collection Technology Collection Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Business Premium Collection
Technology collection
ProQuest One Community College
ProQuest Central
Engineering Research Database
ABI/INFORM Global (Corporate)
ProQuest Central Student
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection
Computer Science Database
Civil Engineering Abstracts
ABI/INFORM Professional Advanced
ABI/INFORM Professional Standard
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
ABI/INFORM Global
Computing Database
Science Database
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Business (UW System Shared)
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
ProQuest Central Basic
DatabaseTitle CrossRef
ABI/INFORM Global (Corporate)
ProQuest One Business
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
SciTech Premium Collection
ProQuest One Community College
ProQuest Pharma Collection
ProQuest Central China
ABI/INFORM Complete
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ABI/INFORM Professional Standard
ProQuest Central Korea
ProQuest Central (New)
Advanced Technologies Database with Aerospace
Engineering Collection
Advanced Technologies & Aerospace Collection
Business Premium Collection
Civil Engineering Abstracts
ABI/INFORM Global
ProQuest Computing
Engineering Database
ProQuest Central Basic
ProQuest Science Journals
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Business 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
ABI/INFORM Global (Corporate)
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Engineering
EISSN 1758-7077
EndPage 177
ExternalDocumentID 10_1108_EC_07_2018_0312
10.1108/EC-07-2018-0312
GroupedDBID 02
0R
29G
4.4
5GY
5VS
70U
7WY
8AO
8FE
8FG
8FW
8R4
8R5
9E0
AADTA
AADXL
AAGBP
AAMCF
AATHL
AAUDR
ABFLS
ABIJV
ABJCF
ABPTK
ABSDC
ACGFS
ACGOD
ACIWK
ADOMW
AEBZA
AENEX
AEUCW
AFKRA
AFYHH
AFZLO
AJEBP
ALMA_UNASSIGNED_HOLDINGS
ARAPS
ASMFL
AUCOK
AZQEC
BENPR
BEZIV
BGLVJ
BPHCQ
BPQFQ
BUONS
CAG
CS3
DU5
DWQXO
EBS
ECCUG
EJD
FNNZZ
GEI
GEL
GNUQQ
GQ.
GROUPED_ABI_INFORM_COMPLETE
HCIFZ
HZ
IPNFZ
J1Y
JI-
JL0
K6
K6V
K7-
KBGRL
L6V
M0C
M0N
M2P
M7S
O9-
P2P
P62
PQBIZ
PQEST
PQQKQ
PQUKI
PRINS
PROAC
PTHSS
Q2X
RIG
RWL
TAE
TN5
U5U
UNMZH
V1G
0R~
AAYXX
ABJNI
ABKQV
ABYQI
ACBEA
ACZLT
ADFRT
AFFHD
AHMHQ
AKXVL
AODMV
CCPQU
CITATION
H13
HZ~
IJT
K6~
M42
PHGZM
PHGZT
PQGLB
SBBZN
~02
7SC
7TB
7XB
8FD
AJZCB
FR3
JQ2
KR7
L.-
L.0
L7M
L~C
L~D
PKEHL
Q9U
ID FETCH-LOGICAL-c308t-2ee7ed7a7623a6e1c74baedd5a11cacb85ebd1eebf3e6c9cb9daceb88b4cdc663
IEDL.DBID 7WY
ISICitedReferencesCount 17
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000458733000008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0264-4401
IngestDate Mon Nov 10 02:45:48 EST 2025
Sat Nov 29 07:40:06 EST 2025
Tue Nov 18 22:31:08 EST 2025
Tue Oct 26 21:39:51 EDT 2021
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords Structural dynamics
Wave propagation
Finite element analysis
Explicit time integration
Single-step algorithm
Stability and accuracy
Language English
License Licensed re-use rights only
https://www.emerald.com/insight/site-policies
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c308t-2ee7ed7a7623a6e1c74baedd5a11cacb85ebd1eebf3e6c9cb9daceb88b4cdc663
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2534489710
PQPubID 26043
PageCount 17
ParticipantIDs emerald_primary_10_1108_EC-07-2018-0312
proquest_journals_2534489710
crossref_citationtrail_10_1108_EC_07_2018_0312
crossref_primary_10_1108_EC_07_2018_0312
PublicationCentury 2000
PublicationDate 2019-02-08
PublicationDateYYYYMMDD 2019-02-08
PublicationDate_xml – month: 02
  year: 2019
  text: 2019-02-08
  day: 08
PublicationDecade 2010
PublicationPlace Bradford
PublicationPlace_xml – name: Bradford
PublicationTitle Engineering computations
PublicationYear 2019
Publisher Emerald Publishing Limited
Emerald Group Publishing Limited
Publisher_xml – name: Emerald Publishing Limited
– name: Emerald Group Publishing Limited
References (key2020092501421313100_ref032) 1996
(key2020092501421313100_ref019) 1998; 124
(key2020092501421313100_ref003) 2014
(key2020092501421313100_ref008) 2016; 46
(key2020092501421313100_ref013) 1989
(key2020092501421313100_ref027) 2008
(key2020092501421313100_ref007) 2017; 34
(key2020092501421313100_ref033) 2011; 87
(key2020092501421313100_ref002) 2006
(key2020092501421313100_ref025) 1995; 38
(key2020092501421313100_ref010) 1993; 60
(key2020092501421313100_ref001) 1973
(key2020092501421313100_ref018) 1985; 21
(key2020092501421313100_ref004) 1986; 54
(key2020092501421313100_ref005) 2010; 20
(key2020092501421313100_ref012) 1994; 37
(key2020092501421313100_ref021) 1959; 85
(key2020092501421313100_ref024) 2008; 35
key2020092501421313100_ref022
(key2020092501421313100_ref011) 1996; 137
(key2020092501421313100_ref029) 1968
(key2020092501421313100_ref017) 1978; 46
(key2020092501421313100_ref016) 1983
(key2020092501421313100_ref020) 1989; 25
(key2020092501421313100_ref031) 1980; 15
(key2020092501421313100_ref028) 2008; 12
(key2020092501421313100_ref009) 2011
GB50010-2010 (key2020092501421313100_ref014) 2011
(key2020092501421313100_ref006) 1992; 96
(key2020092501421313100_ref030) 1990
(key2020092501421313100_ref023) 2013; 129
(key2020092501421313100_ref015) 2000
(key2020092501421313100_ref026) 2005; 36
References_xml – volume: 21
  start-page: 1345
  year: 1985
  ident: key2020092501421313100_ref018
  article-title: A unified set of single step algorithms–part 3: the Beta- M method, a generalization of the newmark scheme
  publication-title: International Journal for Numerical Methods in Engineering
  doi: 10.1002/nme.1620210713
– volume-title: Practical Time-Stepping Schemes
  year: 1990
  ident: key2020092501421313100_ref030
– volume: 60
  start-page: 371
  issue: 2
  year: 1993
  ident: key2020092501421313100_ref010
  article-title: A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-Α method
  publication-title: Journal of Applied Mechanics
  doi: 10.1115/1.2900803
– volume: 54
  start-page: 279
  issue: 3
  year: 1986
  ident: key2020092501421313100_ref004
  article-title: Efficient implementation of quadrilaterals with coarse-mesh accuracy
  publication-title: Computer Methods in Applied Mechanics and Engineering
  doi: 10.1016/0045-7825(86)90107-6
– volume: 129
  start-page: 178
  issue: 129
  year: 2013
  ident: key2020092501421313100_ref023
  article-title: An explicit time integration scheme for the analysis of wave propagations
  publication-title: Computers and Structures
– ident: key2020092501421313100_ref022
– volume: 35
  start-page: 1688
  issue: 12
  year: 2008
  ident: key2020092501421313100_ref024
  article-title: Comparative study of numerical explicit schemes for impact problems
  publication-title: International Journal of Impact Engineering
  doi: 10.1016/j.ijimpeng.2008.07.003
– volume: 20
  start-page: 787
  issue: 5
  year: 2010
  ident: key2020092501421313100_ref005
  article-title: A C0 triangular plate element with one‐point quadrature
  publication-title: International Journal for Numerical Methods in Engineering
– volume-title: Computational Inelasticity
  year: 2008
  ident: key2020092501421313100_ref027
– volume-title: Nonlinear Finite Elements for Continua and Structures
  year: 2014
  ident: key2020092501421313100_ref003
– volume-title: Wave Propagation in Elastic Solids
  year: 1973
  ident: key2020092501421313100_ref001
– volume: 96
  start-page: 93
  issue: 1
  year: 1992
  ident: key2020092501421313100_ref006
  article-title: Advances in One-Point quadrature shell elements
  publication-title: Computer Methods in Applied Mechanics and Engineering
  doi: 10.1016/0045-7825(92)90100-X
– volume: 12
  start-page: 293
  issue: 2
  year: 2008
  ident: key2020092501421313100_ref028
  article-title: An explicit integration scheme for solving dynamic problems of solid and porous media
  publication-title: Journal of Earthquake Engineering
  doi: 10.1080/13632460701364528
– start-page: 1371
  year: 1989
  ident: key2020092501421313100_ref013
  article-title: A survey of direct time-integration methods in computational structural dynamics-I: explicit methods
– volume: 25
  start-page: 299
  issue: 3
  year: 1989
  ident: key2020092501421313100_ref020
  article-title: A plastic-damage model for concrete
  publication-title: International Journal of Solids and Structures
  doi: 10.1016/0020-7683(89)90050-4
– year: 1968
  ident: key2020092501421313100_ref029
  article-title: A computer program for the dynamic stress analysis of underground structure
– volume-title: Theory and Applications to Earthquake Engineering
  year: 2011
  ident: key2020092501421313100_ref009
– volume-title: Finite Element Procedures
  year: 2006
  ident: key2020092501421313100_ref002
– volume: 46
  start-page: 203
  issue: 1
  year: 1978
  ident: key2020092501421313100_ref017
  article-title: Reduced and selective integration techniques in the finite element analysis of plates
  publication-title: Nuclear Engineering and Design
  doi: 10.1016/0029-5493(78)90184-X
– volume: 124
  start-page: 892
  issue: 8
  year: 1998
  ident: key2020092501421313100_ref019
  article-title: Plastic-Damage model for cyclic loading of concrete structures
  publication-title: Journal of Engineering Mechanics
  doi: 10.1061/(ASCE)0733-9399(1998)124:8(892)
– volume: 15
  start-page: 1562
  issue: 10
  year: 1980
  ident: key2020092501421313100_ref031
  article-title: An alpha modification of newmark’s method
  publication-title: International Journal for Numerical Methods in Engineering
  doi: 10.1002/nme.1620151011
– volume: 46
  start-page: 30
  issue: 1
  year: 2016
  ident: key2020092501421313100_ref008
  article-title: Application of modal damping in nonlinear explicit dynamic analysis of Large-Scale structure
  publication-title: Building Structure
– volume: 87
  start-page: 1074
  issue: 11
  year: 2011
  ident: key2020092501421313100_ref033
  article-title: Explicit finite element artificial boundary scheme for transient scalar waves in Two-Dimensional unbounded waveguide.Pdf
  publication-title: International Journal for Numerical Methods in Engineering
  doi: 10.1002/nme.3147
– volume-title: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
  year: 2000
  ident: key2020092501421313100_ref015
– volume: 37
  start-page: 3961
  issue: 23
  year: 1994
  ident: key2020092501421313100_ref012
  article-title: A new family of explicit time integration methods for linear and Non-Linear structural dynamics
  publication-title: International Journal for Numerical Methods in Engineering
  doi: 10.1002/nme.1620372303
– start-page: 4199
  year: 1996
  ident: key2020092501421313100_ref032
  article-title: Two simple fast integration methods for Large-Scale dynamic problems in engineering
– volume-title: Analysis of Transient Algorithms with Particular Reference to Stability Behavior
  year: 1983
  ident: key2020092501421313100_ref016
– volume: 137
  start-page: 175
  issue: 2
  year: 1996
  ident: key2020092501421313100_ref011
  article-title: Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
  publication-title: Computer Methods in Applied Mechanics and Engineering
  doi: 10.1016/S0045-7825(96)01036-5
– volume: 36
  start-page: 252
  issue: 4
  year: 2005
  ident: key2020092501421313100_ref026
  article-title: Comparative study of numerical explicit time integration algorithms
  publication-title: Advances in Engineering Software
  doi: 10.1016/j.advengsoft.2004.10.011
– volume: 85
  start-page: 67
  issue: 3
  year: 1959
  ident: key2020092501421313100_ref021
  article-title: A method for computation for structural dynamics
  publication-title: Journal Engineering Mechanics Division
  doi: 10.1061/JMCEA3.0000098
– volume: 34
  start-page: 116
  issue: 11
  year: 2017
  ident: key2020092501421313100_ref007
  article-title: An elastoplastic damage constitutive model for confined concrete under uniaxial load
  publication-title: Engineering Mechanics
– volume: 38
  start-page: 2265
  year: 1995
  ident: key2020092501421313100_ref025
  article-title: An explicit time integration technique for dynamic analyses
  publication-title: International Journal for Numerical Methods in Engineering
  doi: 10.1002/nme.1620381308
– volume-title: Code for Design of Concrete Structures
  year: 2011
  ident: key2020092501421313100_ref014
SSID ssj0007330
Score 2.268417
Snippet Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of...
PurposeThe purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of...
SourceID proquest
crossref
emerald
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 161
SubjectTerms Algorithms
Damping
Degrees of freedom
Differential equations
Dynamic stability
Eigenvalues
Elastoplasticity
Finite element method
High rise buildings
Linear equations
Mass matrix
Mathematical analysis
Matrix methods
Methods
Numerical stability
Propagation
Seismic stability
Stability analysis
Time integration
Two dimensional analysis
Velocity
Wave propagation
Title An explicit time integration algorithm for linear and non-linear finite element analyses of dynamic and wave problems
URI https://www.emerald.com/insight/content/doi/10.1108/EC-07-2018-0312/full/html
https://www.proquest.com/docview/2534489710
Volume 36
WOSCitedRecordID wos000458733000008&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: ABI/INFORM Collection
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: 7WY
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM Global
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: M0C
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Computer Science Database
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: K7-
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/compscijour
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database (subscription)
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: M7S
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest advanced technologies & aerospace journals
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: P5Z
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: BENPR
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database (subscription)
  customDbUrl:
  eissn: 1758-7077
  dateEnd: 20241213
  omitProxy: false
  ssIdentifier: ssj0007330
  issn: 0264-4401
  databaseCode: M2P
  dateStart: 19960101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LTxRBEK4IeIADKEJcRNIHE700zLtnTgY3S0zUzcZHBC-TftTgJsss7Ayo_96q2V4QI164VNLp7plOqrpe3V0fwAurVJBYFUkiqUxIYqSuskqqKnaVsyTW85L579VwmB8fFyOfcGv8tcqFTuwUtZtazpEfRGlMkURBBvH1-YVk1Cg-XfUQGkuwQoY6ZQQD9fXkWhOrOPY5lkQmFEj40j6MfDPoc4KOrB8_MAujW1bpr6e5N-q5szlHG_dd7SNY996mOJyLx2N4gPUmbHjPU_h93WzC2h9lCZ_A5WEt8CcfbI9bweDzYlFUgpgo9OSU_tR-PxPk7wr2UvVM6NqJelpL36zG7MoKnN9Np16ufIKNmFbC_ar12dh2M37oKxQe0qbZgi9Hg8_9t9LDM0gbB3krI0SFTmlSp7HOMLQqMRqdS3UYWm1NnqJxIaKpYsxsYU3htEWT5yaxzpKnsw3LtDJ8CsJhEpowKPKMos2K5xbkGhaZCbVJtUt7sL9gT2l97XKG0JiUXQwT5OWgXwaqZH6WzM8evLqecD4v23H30Jee3_8YeUtIerC7YHbpd3pT3nB65__dz2CVvlR0N77zXVhuZ5f4HB7aq3bczPY6wd2DlTeD4egjtd4pSfRD0GcajZiqT0RH6bff0JH8Iw
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3NT9RAFH9BNBEPoChxFXQOGr0M9nvaAyFkXQLZdeMBE251Pl61CdvFbQH5p_wbfdNOQYx64-ClSTMf6Ux_875m5vcAXmkhvEiLgNMj5hEhhssiKbgoQlMYTbDuKPMnYjpNj4-zj0vwo78LY49V9jKxFdRmrm2M_F0Qh-RJZKQQd0-_cZs1yu6u9ik0OliM8fKCXLZ65_A9_d_XQbA_OhoecJdVgOvQSxseIAo0QpIUCGWCvhaRkmhMLH1fS63SGJXxEVURYqIzrTIjNao0VZE2mhQ09XsH7kZhmtgVNRb8SvKLMHQxnYhH5Lg4KiGbaWc0tAFB0rb2Qpsf3NCCv10FvlYHrY7bX_vfZuchrDprmu118H8ES1itw5qzrJmTW_U6PPiFdvExnO1VDL_bjfuyYU05Q9aTZhBImTz5QiNrvs4Y2fPMWuFywWRlWDWvuHstSmuqM-zO3lOpZXbBms0LZi4rOSt12-JCniNzKXvqJ_DpVqZiA5bpy_ApMIORr3wvSxPypgvbNiPTN0uUL1UsTTyA7R4OuXbc7DZFyEne-mhemo-GuSdyi5_c4mcAb68anHa0JH-v-sbh6w81b4ByAJs9uHInyer8GlnP_l38Eu4fHH2Y5JPD6fg5rFCvWXu6Pd2E5WZxhltwT583Zb140S4aBp9vG4c_AahoWgI
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+explicit+time+integration+algorithm+for+linear+and+non-linear+finite+element+analyses+of+dynamic+and+wave+problems&rft.jtitle=Engineering+computations&rft.au=Zhao%2C+Mi&rft.au=Li%2C+Huifang&rft.au=Cao%2C+Shengtao&rft.au=Du%2C+Xiuli&rft.date=2019-02-08&rft.issn=0264-4401&rft.volume=36&rft.issue=1&rft.spage=161&rft.epage=177&rft_id=info:doi/10.1108%2FEC-07-2018-0312&rft.externalDBID=n%2Fa&rft.externalDocID=10_1108_EC_07_2018_0312
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0264-4401&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0264-4401&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0264-4401&client=summon