加强板的弯矩函数列式  

Moment function formulation of stiffened plates

作　　者：刘世龄[1] 

机构地区：[1]香港理工大学土木系

出　　处：《计算力学学报》1999年第1期8-17,共10页Chinese Journal of Computational Mechanics

摘　　要：本文首先讨论薄板弯曲问题弯矩函数的物理意义。据此，将弯矩函数列式推广到具有加强条的薄板弯曲问题，给出了与平面弹性问题完全对应的余能原理。这样，加强板弯曲问题便可模拟为平面弹性问题的位移列式，从而可以将平面弹性问题的Ｈａｍｉｌｔｏｎ体系直接解法［１］以及其“最成功”的有限元法直接移植到加强板弯曲问题中来。The physical meaning of moment functions in plate theory is first discussed. Based on this understanding the formulation of plate bending in terms of moment functions is extended to stiffened plates. A corresponding complementary energy theorem is also derived in such a form that it clearly demonstrates the duality analogy with the displacement formulation of a plane elasticity problem. Thus, the method of Hamiltonian operator matrix developed by Zhong may easily be applied to the present case. More importantly, the displacement finite elements constructed for plane elasticity with high performance can directly be employed for solving stiffened plate problems.

关 键 词：加强板 弯矩函数 HAMILTON体系 平面弹性问题 

分 类 号：O343.1[理学—固体力学]