损伤粘弹性梁-柱的广义变分原理  

On the generalized variational principle of viscoelastic beam columns with damage

作　　者：盛冬发[1] 池德汝[1] 曾绍锋[1] 

机构地区：[1]福建工程学院机电及自动化工程系

出　　处：《福建工程学院学报》2007年第4期325-327,共3页Journal of Fujian University of Technology

基　　金：福建省自然科学基金资助项目(Z0511045);江西省高等学校科技研究资助项目(赣教技字[2005]17号);福建省教育厅科技项目(JA05310);福建工程学院博士启动基金资助项目(14700122)

摘　　要：从损伤的粘弹性材料的卷积型本构关系出发,建立了在小变形下损伤粘弹性梁-柱的控制方程,提出了以卷积形式表示的损伤粘弹性梁-柱弯曲问题的泛函,并给出了损伤粘弹性梁-柱的广义变分原理。应用这个广义变分原理,可分别给出梁-柱位移和损伤满足的基本方程,以及相应的初始条件和边界条件。According to the constituent model expressed by convolution method for viscoelastic solids with damage, the generalized motion equations of viscoelastic beam columns with damage are derived under small deformation. The convolution-type functional for the bending of viscoelastic beam columns with damage and the generalized variational principle of viscoelastic beam column with damage are presented. By means of the generalized variational principle, the basic equations of the displacement and the damage variables and the initial and boundary conditions can be obtained.

关 键 词：损伤粘弹性固体 梁-柱 广义变分原理 

分 类 号：O345[理学—固体力学]