柱体Saint-Venant问题的最小余能解

Saint Venant原理指出 :局部力系对结构内部距力系较远处的内力分布影响主要通过它们的合力体现出来 采用放松了边界条件的柱体受力分析方法 ,可以作出多种解法 ,但求解较复杂 笔者研究了柱体Staint Veanant问题的最小余能解 ,以简化求解格式 文中推导了柱体应变能取最小值的充要条件 ,并得到最小余能解的方程组 算例表明 ,该方法不仅简单 ,而且足够精确

The Minimum Surplus Energy Solution to the Saint-Venant Problem with a Cylinder

It is learnt through Saint Vanant principle that the effects of a local force system upon the distribution of the inner stress not near the force system within the structure are mainly embodyed in the resultant form.Based on the method of loosening the bound condition of a cylinder,many solutions have been obtained but they are all very complex. This article studies the method of minimum surplus energy so as to simplify the solution of Saint Venant problem with a cylinder. This paper presents the sufficient and essential condition for obtaining the minimum of the surplus energy and the equations for the minus surplus energy solution. The example shows that the method is very simple and precise.