弹性平面问题求特解的方法及应用

Methods of Finding Special Solution for Elastic Plane Problem

现有的文献大多是讨论齐次问题或者是非齐次问题的某些特殊情形 ,如何将非齐次问题转化为齐次问题 ,通常需要寻求问题的特解 ,因而讨论弹性平面问题特解的方法具有实际意义。对弹性平面问题分别用位移法和应力函数给出了求位移特解和应力特解的方法 ,从而可将非齐次问题转化为齐次问题来处理 。

The transformation of even dimension to non even dimension usually need the special solution of a certain problem. This paper discusses method to find special solution of elastic plane problem is worth for practical purpose. The methods of finding special solution of displacement and stress for elastic plane problem are given for non even limens ion displacement method and stress function method respectively, and the problem are transformed into even dimension. Several concrete special solutions and applications are included.