Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (3): 295-304 .doi: https://doi.org/10.1007/s10483-006-0303-1

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QUASI-STATIC ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAMS WITH DAMAGE

程昌钧, 盛冬发, 李晶晶   

  • 收稿日期:2004-04-20 修回日期:2005-11-22 出版日期:2006-03-18 发布日期:2006-03-18
  • 通讯作者: 程昌钧

QUASI-STATIC ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAMS WITH DAMAGE

CHENG Chang-jun, SHENG Dong-fa, LI Jing-jing   

    1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;
    3. Department of Electromechanic and Automatic Engineering, Fujian University of Technology, Fuzhou 350014, Fujian Province, P. R. China
  • Received:2004-04-20 Revised:2005-11-22 Online:2006-03-18 Published:2006-03-18
  • Contact: CHENG Chang-jun

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.

Key words: viscoelastic solids with damage, Timosenko beam, quasi-static response

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