含区间参数结构的静态响应分析新方法

NEW ANALYTICAL METHOD OF THE STATIC RESPONSES OF STRUCTURE WITH INTERVAL PARAMETER

文中对含区间误差参数线性工程结构静态响应问题给出解的定义,并提出一种隐函数寻优求解新方法。该方法在不需要知道问题解具体解析表达式的前提下,直接利用区间线性方程组本身的微分形式,给出解向量关于区间参数敏感度的迭代表达式,并把它作为判别问题解所在区间的准则,利用问题具有极值的特点,借助于对分优化策略能客观上得到区间方程组的区间真解。算例结果表明方法的有效性和实用性。文中方法能推广用于工程模糊线性问题的求解,结合拟线性方法,也可用于求解相应的工程模糊非线性问题。

The definition of the solution of the static response problem of the linear engineering structure with interval error parameters was given,and a new method named implicit function optimization is put forward,this method could give the sensitivity of the solution vectors to the interval parameters directly using the differential forms of the interval linear equation systems without knowing the concrete expression of the solution,and the sensitivity of the solution was regarded as the criterion of the locatio...