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损伤黏弹性厚板非线性动力学方程
引用本文:盛冬发,龚良贵.损伤黏弹性厚板非线性动力学方程[J].暨南大学学报,2005,26(1):12-15.
作者姓名:盛冬发  龚良贵
作者单位:南昌大学工程力学研究所,江西,南昌,330029
基金项目:国家自然科学基金(10272069)资助项目
摘    要:采用Timoshenko几何变形假设,应用黏弹性厚板几何非线性的分析方法,推导了黏弹性损伤中厚板的几何非线性问题的动力学方程.它是一个五元非线性积分——偏微分方程组.当不考虑损伤时,此方程可以退化得到黏弹性中厚板的非线性动力方程。

关 键 词:损伤黏弹性固体  中厚板  几何非线性  动力方程
文章编号:1000-9965(2005)01-0012-04
修稿时间:2004年6月30日

Nonlinear dynamic equation of mid-thick viscoelastic plates with damage
SHENG Dong-fa,GONG Liang-gui.Nonlinear dynamic equation of mid-thick viscoelastic plates with damage[J].Journal of Jinan University(Natural Science & Medicine Edition),2005,26(1):12-15.
Authors:SHENG Dong-fa  GONG Liang-gui
Abstract:A set of geometric nonlinear dynamic equations for mid-thick viscoelastic plates with damage is derived by adopting the Timoshenko geometric deformation theory and analysis method of geometric nonlinear for thick viscoelastic plates. This set of the equations is of nonlinear integral-partial differential equations with five unknown functions. It can be simplified into the set of dynamic equations for mid-thick viscoelastic plates as the damage is neglected.
Keywords:viscoelastic solids with damage  mid-thick plates  geometric nonlinear  dynamic equations
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