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轴向运动黏弹性夹层板非线性动力稳定性分析

李映辉 吕海炜 李中华 李亮

重庆理工大学学报:自然科学2012,Vol.26Issue(12):16-20,5.
重庆理工大学学报:自然科学2012,Vol.26Issue(12):16-20,5.

轴向运动黏弹性夹层板非线性动力稳定性分析

Nonlinear Vibration of the Axially Moving Viscoelastic Sandwich Plate

李映辉 1吕海炜 1李中华 2李亮1

作者信息

  • 1. 西南交通大学力学与工程学院,成都610031
  • 2. 中国石油宝鸡石油机械有限责任公司,陕西宝鸡721002
  • 折叠

摘要

Abstract

Based on the theory of large deflection of thin plate and the constitutive law of Kelvin-Viogt viscoelastic material,the controlling equation which dominates the transverse vibration of the axially moving viscoelastic sandwich plate was established.By using the method of 1-term Galerkin truncation,the characteristic of transverse vibration of axially moving viscoelastic sandwich plate was researched under the boundary of four sides simple supports.The nonlinear partial differential equation is transformed into a set of nonlinear ordinary differential equations.The number of the equilibrium point along with flow speed and its dynamical stability are discussed.

关键词

黏弹性夹层板/轴向运动/Kelvin-Voigt模型/大变形/横向振动

Key words

viscoelastic sandwich plate/axially moving/Kelvin-Voigt model/large deflection/transverse vibration

分类

数理科学

引用本文复制引用

李映辉,吕海炜,李中华,李亮..轴向运动黏弹性夹层板非线性动力稳定性分析[J].重庆理工大学学报:自然科学,2012,26(12):16-20,5.

基金项目

国家自然科学基金资助项目 ()

中央高校科研业务费专项 ()

重庆理工大学学报:自然科学

OACSTPCD

1674-8425

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