各向异性弹性长条的周期基本问题

On Periodic Fundamental Problem for Anisotropic Elastic Strip

根据平面弹性复变方法和解析函数边值问题的基本理论,把各向异性弹性长条静力平衡的周期基本问题归结为一类解析函数的复合边值问题,通过独特的积分变换,将应力函数进行有效分解,并进一步将问题转化为一积分方程,借助级数方法,得到了描述弹性长条应力分布的应力函数封闭形式解.

By means of plane elastic complex variable and the basic theory about the boundary value of analytical functions the periodic fundamental problem for the static balance of anisotropic elastic strip, was attributed to a class of compound boundary value problem of analytical functions. Successively, through distinctive integral transformation to effectively disintegrate the stress functions and further change the problem into an integral formula, the solution in the form of closure to express the stress distribution of elastic strip was finally obtained with the help of series method.