简支深梁用和函数法的级数解答

引用和函数法求解弹性力学平面问题, 对简支深梁受三角形荷载作用时的应力进行了分析,同时给出了该问题的付立叶级数解答，该方法不仅将求解弹性力学的偏微分方程组解耦成非耦联的几个偏微分方程，而且其结果与传统的Airy应力函数得到的解答完全一致, 证明了该方法的正确性和适用性，该方法拓展了将经典的弹性力学解析法用于解决工程实际问题的空间。

The Series Solution of Sum Function Method for Simple Supported Deep Beam

A new analytical method with sum function is introduced for solving plane problems of elasticity. The stress analysis of simply supported deep beam subjected to triangular distributed load has been performed. Furthermore, the Fourier series solution about above problems was given for the studied problem. The present method not only translates the coupling partial differential equations of elasticity into a few independent partial differential equation each other, but also the results using the present approach possess the same solution with those of traditional Airy stress function method. The correction and practical values was confirmed. The present method provides a more space of classical analytical method for solving the practical engineering problems.