曲壳有限变形研究之一:理论及有限元列式  

Study on Finite Deformation of Curved Shells (Ⅰ):Theory and Finite Element Formulation

作　　者：詹福良[1] 李明瑞[1] 

机构地区：[1]中国农业大学工程基础科学部

出　　处：《中国农业大学学报》1998年第6期28-33,共6页Journal of China Agricultural University

基　　金：国家自然科学基金

摘　　要：以位移型退化壳理论为基础，提出了精确描述壳体结构几何非线性行为的有限变形完整理论。该理论充分发挥了刚性线段的运动学模型和有限转动矩阵的作用，精确表达出非线性的位移一应变关系，抛弃了以往的各种简化假设，如小位移、小剪切应变、小转动增量，乃至小加载步长等。采用TL方法给出了有限变形完整理论的曲壳单元列式。A finite deformation theory that can precisely describe the nonlinear geometric behavior of plate & shell structures is proposed.By taking full advantage of the kinematic model of a rigid line and the finite rotation matrix, the simplification assumptions such as small displacement, small normal or shearing strain, small rotation, as well as small loading step etc can be abandoned. The finite element formulation of this theory is deduced with TL method.

关 键 词：曲壳 有限变形 有限元列式 

分 类 号：O343.5[理学—固体力学]