Further insights into an implicit time integration scheme for structural dynamics

Gunwoo Noh; Klaus Jürgen Bathe

doi:10.1016/j.compstruc.2018.02.007

Further insights into an implicit time integration scheme for structural dynamics

Gunwoo Noh
, Klaus Jürgen Bathe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

69 Citations (Scopus)

Abstract

The objective in this paper is to present some new insights into an implicit direct time integration scheme, the Bathe method, for the solution of the finite element equations of structural dynamics. The insights pertain to the use of the parameters in the method, and in particular the value of the time step splitting ratio. We show that with appropriate values of this ratio large amplitude decays can be obtained as may be desirable in some solutions. We give the theoretical analysis of the method for the parameters used, including for very large time steps, and illustrate numerically the new insights gained.

Original language	English
Pages (from-to)	15-24
Number of pages	10
Journal	Computers and Structures
Volume	202
DOIs	https://doi.org/10.1016/j.compstruc.2018.02.007
Publication status	Published - 2018 Jun
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Bathe method
Direct time integrations
Dynamics
Finite element solutions
Implicit and explicit schemes
Stability and accuracy

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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10.1016/j.compstruc.2018.02.007

Cite this

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title = "Further insights into an implicit time integration scheme for structural dynamics",

abstract = "The objective in this paper is to present some new insights into an implicit direct time integration scheme, the Bathe method, for the solution of the finite element equations of structural dynamics. The insights pertain to the use of the parameters in the method, and in particular the value of the time step splitting ratio. We show that with appropriate values of this ratio large amplitude decays can be obtained as may be desirable in some solutions. We give the theoretical analysis of the method for the parameters used, including for very large time steps, and illustrate numerically the new insights gained.",

keywords = "Bathe method, Direct time integrations, Dynamics, Finite element solutions, Implicit and explicit schemes, Stability and accuracy",

author = "Gunwoo Noh and Bathe, \{Klaus J{\"u}rgen\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = jun,

doi = "10.1016/j.compstruc.2018.02.007",

language = "English",

volume = "202",

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T1 - Further insights into an implicit time integration scheme for structural dynamics

AU - Noh, Gunwoo

AU - Bathe, Klaus Jürgen

PY - 2018/6

Y1 - 2018/6

N2 - The objective in this paper is to present some new insights into an implicit direct time integration scheme, the Bathe method, for the solution of the finite element equations of structural dynamics. The insights pertain to the use of the parameters in the method, and in particular the value of the time step splitting ratio. We show that with appropriate values of this ratio large amplitude decays can be obtained as may be desirable in some solutions. We give the theoretical analysis of the method for the parameters used, including for very large time steps, and illustrate numerically the new insights gained.

AB - The objective in this paper is to present some new insights into an implicit direct time integration scheme, the Bathe method, for the solution of the finite element equations of structural dynamics. The insights pertain to the use of the parameters in the method, and in particular the value of the time step splitting ratio. We show that with appropriate values of this ratio large amplitude decays can be obtained as may be desirable in some solutions. We give the theoretical analysis of the method for the parameters used, including for very large time steps, and illustrate numerically the new insights gained.

KW - Bathe method

KW - Direct time integrations

KW - Dynamics

KW - Finite element solutions

KW - Implicit and explicit schemes

KW - Stability and accuracy

UR - https://www.scopus.com/pages/publications/85044172870

U2 - 10.1016/j.compstruc.2018.02.007

DO - 10.1016/j.compstruc.2018.02.007

M3 - Article

AN - SCOPUS:85044172870

SN - 0045-7949

VL - 202

SP - 15

EP - 24

JO - Computers and Structures

JF - Computers and Structures

ER -

Further insights into an implicit time integration scheme for structural dynamics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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