薄壳结构几何非线性全过程分析

Geometrical Nonlinear Analysis of Thin Shell Structures

本文简要推导了包括荷载刚度矩阵在内的大变形等参数薄壳单元的切线刚度矩阵，并介绍了平衡路径的跟踪方法。用自行研制的计算程序ＮＡＮ—１（ＮｏｎｌｉｎｅａｒＡｎａｌｙｔｉｓＰｒｏｇｒａｍｆｏｒＳｈｅｌｌｓ）对几种薄壳结构进行了几何非线性全过程分析，讨论了结构的初始几何缺陷。和自重等因素对其屈曲性能的影响。

In this paper, the tangent stiffness matrix, including load stiffness matrix, of a thin shell element with large defleCtions is derived, and the equilibrium path tracing method is introduced. By means of NAPS-1 (Nonlinear Analysis Program for Shells), the geometrically nonlinear whole process analysis is carried out for some kinds of thin shell structures, and the effects of geometrical imperfections and self-weight on the buckling characteristics are studied.