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梁的有限变形完整理论及有限元列式
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摘要:
在历史上第一次提出了梁的有取变形的完整理论,抛弃了小位移,小应变,小转角,小加载步长等一切近似假设。利用这套理论可以精确地描述梁系结构的几何非线性行为,绝大多数情况下可以通过一次加载求得几何非线性问题的解。
关键词:  梁 有限变形 有限元 完整理论
DOI:
基金项目:
Complete Finite Deformation Theory of Beam and Its Finite Element Formulation
Abstract:
The complete finite de formation theory of beam is first proposed, which abandones all kinds of sirnplification such as the assumption of small displacement,small normal strain, small shearing strain, small rotation, or even small loading step. This complete theory can be used to describe the nonlinear behavior of beam structure precisely and perfectly- Therefore,in most cases the nonlinear geometric solution can be obtained by using only one loading step.
Key words:  beam,finite deformation,finite element,complete theory,