损伤粘弹性Timoshenko梁的拟静态力学行为分析

程昌钧; 盛冬发; 李晶晶

损伤粘弹性Timoshenko梁的拟静态力学行为分析

1.
上海大学力学系,上海市应用数学和力学研究所,上海 200072;
福建工程学院机电及自动化工程系,福州 350014

基金项目: 国家自然科学基金资助项目(50278051);上海市重点学科建设项目(Y0103)

详细信息

作者简介:
程昌钧(1937- ),女,重庆人,教授,博士生导师(联系人.Tel:+86-21-56331454;Fax:+86-21-36033287;E-mail:chjcheng@mail.shu.edu.cn).

中图分类号: O345
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出版历程
- 收稿日期: 2004-04-20
- 修回日期: 2005-11-22
- 刊出日期: 2006-03-15

Quasi-Static Analysis for Viscoelastic Timoshenko Beams With Damage

1.
Shanghai Institute of Applied Mathematics and Mechanics;Department of Mechanics, Shanghai University, Shanghai 200072, P R China;
Department of Electromechanic and Automatic Engineering, Fujian University of Technology, Fuzhou 350014, P R China

摘要

摘要: 从考虑损伤的粘弹性材料——一种卷积型本构关系出发,应用Timoshenko梁的基本变形假设,建立损伤粘弹性Timoshenko梁的静、动力学行为研究的数学模型.分析了损伤粘弹性Timoshenko梁在阶跃载荷作用下的准静态力学行为,在Laplace域中得到了挠度和损伤的解析表达式．应用数值逆变换技术,考察了材料粘性参数对梁的挠度和损伤的影响,得到不同时刻损伤和挠度随时间的变化曲线．
- 损伤粘弹性固体 /
- Timosenko梁 /
- 拟静态力响应
Abstract: Based on convolution-type co nstitutive equations for linear visco elastic 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 Timo shenko 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.
- viscoelastic solids with damage /
- Timosenko beam /
- quasi-static response

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参考文献(10)

[1]	Argyris J.Chaotic vibrations of a nonlinear viscoelastic beam[J].Chaos Solitons Fractals,1996,7(1):151—163. doi: 10.1016/0960-0779(95)00097-6
[2]	Akoz Y,Kadioglu F.The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams[J].Int J Numer Meth Engng,1999,44(12):1909—1932. doi: 10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-P
[3]	陈立群，程昌钧.非线性粘弹性柱的稳定性和混沌运动[J].应用数学和力学，2000,21(9):890—896.
[4]	ZHU Zheng-you,LI Gen-guo,CHENG Chang-jun.Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation[J].Appl Math Mech,2002,23(1):1—10.
[5]	YANG Ting-qing.Theory of Viscoelasticity[M].Wuhan: Huazhong Unviersity of Science and Technology Press,1990.
[6]	Christensen R M.Theory of Viscoelasticity,An Introduction[M].Beijing: Academic Press,1990.
[7]	Cowin S C,Nunziato J W.Linear elastic materials with voids[J].Journal of Elasticity,1983,13:125—147. doi: 10.1007/BF00041230
[8]	SHENG Dong-fa,CHENG Chang-jun,FU Ming-fu.Stress around a hole in viscoelastic body with voids[J].Chinese Quarterly of Mechanics,2003,24(1):30—35.
[9]	CHENG Chang-jun,ZHANG N H.Variational principles on static-dynamic analysis of viscoelastic thin plates with applications[J].Int J Solids and Structures, 1998,35(33):4491—4505. doi: 10.1016/S0020-7683(97)00262-X
[10]	Miller M K,Guy W T.Numerical inversion of the Laplace transform by use of Jacobi polynomials[J].SIAM J Numer Anal,1966,3(4):624—635. doi: 10.1137/0703055

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文章访问数: 2452
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损伤粘弹性Timoshenko梁的拟静态力学行为分析

作者简介:
程昌钧(1937- ),女,重庆人,教授,博士生导师(联系人.Tel:+86-21-56331454;Fax:+86-21-36033287;E-mail:chjcheng@mail.shu.edu.cn).

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Quasi-Static Analysis for Viscoelastic Timoshenko Beams With Damage

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损伤粘弹性Timoshenko梁的拟静态力学行为分析

作者简介: 程昌钧(1937- ),女,重庆人,教授,博士生导师(联系人.Tel:+86-21-56331454;Fax:+86-21-36033287;E-mail:chjcheng@mail.shu.edu.cn).

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出版历程

Quasi-Static Analysis for Viscoelastic Timoshenko Beams With Damage

计量

出版历程

目录

作者简介:
程昌钧(1937- ),女,重庆人,教授,博士生导师(联系人.Tel:+86-21-56331454;Fax:+86-21-36033287;E-mail:chjcheng@mail.shu.edu.cn).