Dynamical behavior of nonlinear viscoelastic beams |
| |
| Authors: | Chen Li-qun Professor Doctor Cheng Chang-jun Professor |
| |
| Affiliation: | (1) Shanghai Institute of Applied Mathematics and Mechanics, 200072 Shanghai, P R China;(2) Department of Mechanics, Shanghai University, 201800 Shanghai, P R China |
| |
| Abstract: | 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 1st_order and 2nd_order truncation are numerically compared. |
| |
| Keywords: | viscoelastic beam differential equation of motion Leaderman relation Galerkin method |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
