| QUASI-STATIC ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAMS WITH DAMAGE |
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| 作者姓名： | 程昌钧 盛冬发 李晶晶 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072，P. R. China，Department of Mechanics，Shanghai University，Shanghai 200444，P. R. China，Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China，Department of Mechanics，Shanghai University，Shanghai 200444，P. R. China，Department of Electromechanic and Automatic Engineering，Fujian University of Technology Fuzhou 350014，Fujian Province，P. R. China，Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China，Department of Mechanics，Shanghai University，Shanghai 200444，P. R. China |
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| 基金项目： | 上海市领先专业学科基金 |
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| 摘 要： | Based on convolution-type constitutive equations for linear viscoelastic materials with damage and the hypotheses of Timoshenko beams, the equations governing quasi-static and dynamical behavior of Timoshenko beams with damage were first derived. The quasi-static behavior of the viscoelastic Timoshenko beam under step loading was analyzed and the analytical solution was obtained in the Laplace transformation domain. The deflection and damage curves at different time were obtained by using the numerical inverse transform and the influences of material parameters on the quasi-static behavior of the beam were investigated in detail.
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| 关 键 词： | 准静态分析 黏弹性固体 介质力学 Timosenko束 |
| 收稿时间： | 2004-04-20 |
| 修稿时间： | 2005-11-22 |
Quasi-static analysis for viscoelastic Timoshenko beams with damage |
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| Chang-jun Cheng,Dong-fa Sheng,Jing-jing Li.QUASI-STATIC ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAMS WITH DAMAGE[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):295-304. |
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| Authors: | Chang-jun Cheng Dong-fa Sheng Jing-jing Li |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;Department of Electromechanic and Automatic Engineering, Fujian University of Technology, Fuzhou 350014, Fujian Province, P. R. China |
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| Abstract: | Based on convolution-type constitutive equations for linear viscoelastic materials with damage and the hypotheses of Timoshenko beams, the equations governing quasi-static and dynamical behavior of Timoshenko beams with damage were first derived. The quasi-static behavior of the viscoelastic Timoshenko beam under step loading was analyzed and the analytical solution was obtained in the Laplace transformation domain. The deflection and damage curves at different time were obtained by using the numerical inverse transform and the influences of material parameters on the quasi-static behavior of the beam were investigated in detail. |
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| Keywords: | viscoelastic solids with damage Timosenko beam quasi-static response |
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