弹性力学平面应力问题的加权残值法分析

弹性力学平面应力问题的求解方法有很多种,由于加权残值法在求解方面的简单、易操作且实用的特点,因此有必要对它进行探讨.通过运用加权残值法中的配点法和最小二乘法分析了受重力的三角形悬臂梁和一端固定的细长杆,从而得到了数值解,并把得到的数值解与弹性力学解析解进行了比较,两者结果是一致的.

The Weighted Residuals Method Analysis of Elastic Plane Stress Problem

Many methods can be used to solve the plane stress problem of elasticity. It is necessary to research it because the weighted residuals method is simple, operable and practical. The methods of the point collocation and the least squares analysis belong to the weighted residuals method. The cantilever beam of the triangle type under the effect of gravity and the slim rod with the fixed end are analyzed by utilizing these two methods. The numerical solutions are obtained and coMPared to the exact solutions. These two solutions are coMPatibility.