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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程昌钧, 盛冬发, 李晶晶
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CHENG Chang-jun, SHENG Dong-fa, LI Jing-jing
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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.
Key words: viscoelastic solids with damage, Timosenko beam, quasi-static response
中图分类号:
O345
74K10
74D05
44A10
程昌钧;盛冬发;李晶晶. QUASI-STATIC ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAMS WITH DAMAGE[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(3): 295-304 .
CHENG Chang-jun;SHENG Dong-fa;LI Jing-jing. 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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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-006-0303-1
https://www.amm.shu.edu.cn/CN/Y2006/V27/I3/295