摘要
求解受二次及三次连续分布载荷作用时的弹性平面问题,通常是采用三角级数解法.本文探讨了利用应力函数边界条件的性质,来建立受二次及三次分布载荷作用时弹性体内应力函数的解析方法.它是用应力函数边界条件代替应力边界条件,作为求解双调和方程式(?)~4φ=0的定解条件.其优点是设取应力函数初步形式直观且容易,并有一定的规律可循,即可以解析地求得由多项式表示的应力函数解答.
The author has discussed an analytic method of inner stress function of elastomer in this article. Making use of boundary conditional quality of stress function, the method is established when an elastomer is acted by quadratic or cubic distributed load. It uses the boundary condition of stress function as the certain answering condition of getting the answer of the double haremonic equation.
出处
《轻工学报》
CAS
1988年第2期117-128,共12页
Journal of Light Industry
关键词
应力函数
边界条件
多项式
stress function
boundary condition
multinomial
