Dynamical behavior of nonlinear viscoelastic beams

被引：0
|
作者：
Chen Li-qun
Cheng Chang-jun
机构：
[1] Shanghai Institute of Applied Mathematics and Mechanics,Department of Mechanics
[2] Shanghai University,undefined
来源：
Applied Mathematics and Mechanics | 2000年 / 21卷 / 9期
关键词：
viscoelastic beam; differential equation of motion; Leaderman relation; Galerkin method; O175.29;
D O I：
10.1007/BF02459308
中图分类号：
学科分类号：
摘要：
The integro-partial-differential equation that governs the dynamical behavior of homogeneous viscoelastic beams was established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simply supported ends, the mathematical model is simplified into an integro-differential equation after a 2nd-order truncation by the Galerkin method. Then the equation is further reduced to an ordinary differential equation which is convenient to carry out numerical experiments. Finally, the dynamical behavior of 1 st-order and 2 nd-order truncation are numerically compared.
引用
收藏
页码：995 / 1001
页数：6
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