Instability of nonlinear viscoelastic plates

Li Qun Chen; Chang Jun Cheng

doi:10.1016/j.amc.2004.03.020

Instability of nonlinear viscoelastic plates

Li Qun Chen^*
, Chang Jun Cheng

^*Corresponding author for this work

Shanghai University

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

5 Scopus citations

Abstract

This paper investigates the instability of an isotropic, homogeneous, simply supported rectangular plate subjected to a prescribed periodic in-plane load. The material is assumed to be viscoelastic and obey the Leaderman nonlinear constitutive relation. The equation of motion is derived as a nonlinear integro-partial-differential equation, and is simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method is developed to establish the condition of instability. Numerical results are presented to compare with the analytical ones.

Original language	English
Pages (from-to)	1453-1463
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	162
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2004.03.020
State	Published - 25 Mar 2005
Externally published	Yes

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10.1016/j.amc.2004.03.020

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title = "Instability of nonlinear viscoelastic plates",

abstract = "This paper investigates the instability of an isotropic, homogeneous, simply supported rectangular plate subjected to a prescribed periodic in-plane load. The material is assumed to be viscoelastic and obey the Leaderman nonlinear constitutive relation. The equation of motion is derived as a nonlinear integro-partial-differential equation, and is simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method is developed to establish the condition of instability. Numerical results are presented to compare with the analytical ones.",

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AU - Cheng, Chang Jun

PY - 2005/3/25

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N2 - This paper investigates the instability of an isotropic, homogeneous, simply supported rectangular plate subjected to a prescribed periodic in-plane load. The material is assumed to be viscoelastic and obey the Leaderman nonlinear constitutive relation. The equation of motion is derived as a nonlinear integro-partial-differential equation, and is simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method is developed to establish the condition of instability. Numerical results are presented to compare with the analytical ones.

AB - This paper investigates the instability of an isotropic, homogeneous, simply supported rectangular plate subjected to a prescribed periodic in-plane load. The material is assumed to be viscoelastic and obey the Leaderman nonlinear constitutive relation. The equation of motion is derived as a nonlinear integro-partial-differential equation, and is simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method is developed to establish the condition of instability. Numerical results are presented to compare with the analytical ones.

UR - https://www.scopus.com/pages/publications/12244297144

U2 - 10.1016/j.amc.2004.03.020

DO - 10.1016/j.amc.2004.03.020

M3 - 文章

AN - SCOPUS:12244297144

SN - 0096-3003

VL - 162

SP - 1453

EP - 1463

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Instability of nonlinear viscoelastic plates

Abstract

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