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Meccanica
Published in: Meccanica 4-5/2018

14-10-2017

Time discontinuous finite element method for transient response analysis of linear time-varying structures

Authors: Rui Zhao, Kaiping Yu, Gregory M. Hulbert

Published in: Meccanica | Issue 4-5/2018

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Abstract

In this paper, a mixed form of Hamilton’s law of variable mass system is proposed, and then a time discontinuous finite element method for transient response analysis of linear time-varying structures is developed based on the law. As these time-varying parameters are degraded into time-invariant ones, the time discontinuous finite element method for linear time-varying structures is degraded into an unconditionally stable higher-order accurate time integration method for linear time-invariant structures. The performance of the proposed time integration method has been verified and assessed extensively through many numerical examples, including the single-degree-of-freedom system with a time-varying mass and the string and beam structure with a moving mass. Numerical results demonstrate that the proposed time finite element method for linear time-varying structures performs extremely well compare with the Newmark method, the existing time continuous finite element method for linear time-varying structures as well as the combination of linear time-invariant time integration method and time frozen technique.
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Appendix
Available only for authorised users
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Metadata
Title
Time discontinuous finite element method for transient response analysis of linear time-varying structures
Authors
Rui Zhao
Kaiping Yu
Gregory M. Hulbert
Publication date
14-10-2017
Publisher
Springer Netherlands
Published in
Meccanica / Issue 4-5/2018
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-017-0764-4

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