NONLINEAR DAMPED RESPONSE ANALYSIS OF PLANE SOLID STRUCTURES UNDER EXTREME EARTHQUAKES USING A NOVEL IMPLICIT DYNAMIC FINITE ELEMENT PROCEDURE

Thanh Tu Nguyen, Tzu Ying Lee, Zhong Da Yao

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An implicit dynamic finite element procedure with decoupled equations is adopted to simulate the nonlinear damped response of plane solid structures under extreme earthquakes in this study. The equivalent nodal secant stiffness and damping coefficient are applied to decouple the dynamic equilibrium equations so that the triangular factorization of the coefficient matrix is not required. In addition, a method is proposed to rapidly evaluate the stiffness-proportional damping nodal forces at the element level when a plane solid structure undergoes highly nonlinear dynamic behaviour. In this method the rigid body motion of the plane element is evaluated efficiently and then the pure deformation velocity is used to evaluate the element damping nodal force. As compared to the traditional finite element dynamic analysis method, the proposed method demonstrates the accuracy and efficiency in simulations of nonlinear damped response of plane solid structures under extreme earthquakes.

Original languageEnglish
Title of host publicationProceedings of the 29th International Congress on Sound and Vibration, ICSV 2023
EditorsEleonora Carletti
PublisherSociety of Acoustics
ISBN (Electronic)9788011034238
StatePublished - 2023
Event29th International Congress on Sound and Vibration, ICSV 2023 - Prague, Czech Republic
Duration: 9 Jul 202313 Jul 2023

Publication series

NameProceedings of the International Congress on Sound and Vibration
ISSN (Electronic)2329-3675

Conference

Conference29th International Congress on Sound and Vibration, ICSV 2023
Country/TerritoryCzech Republic
CityPrague
Period9/07/2313/07/23

Keywords

  • implicit dynamic
  • nonlinear behaviour
  • plane solid element
  • seismic response
  • structural damping

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