非保守大变形分析中的虚位移原理及逐步加载法

THE VIRTUAL DISPLACEMENT PRINCIPLES IN NONCONSERVATIVE LARGE DEFORMATION ANALYSIS AND THE METHOD OF LOADING STEP BY STEP

用加权残数法简捷地给出了Euler描述下的非保守大变形虚位移原理,并进而转化为Total Lagrange描述下的虚位移原理及混合描述下的虚位移原理。阐述了用于结构非保守大变形有限元分析中的逐步加载法及逐步给定位移法,该方法不存在不平衡误差的影响。

The virtual displacement principle for Eulerian description in nonconservative large deformation analysis was obtained easily by weighted residual method, and then it was translated into the virtual displacement principles for Total lagrangian description and mixde description. The method of loading step by step was given which hase proved successful. There is no effect of the unequilibrium error in this method.