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将杆系结构中的不确定性参数用区间数表示,建立结构的非概率可靠性指标求解方程。将矩阵形式的仿射算术和递归导数信息结合,提出了改进的二元区间多项式矩阵形式的仿射上下界公式。给出了有界不确定性变量的仿射型和区间形式的相互转化,将有界不确定性变量的仿射型及结合导数信息的矩阵形式的仿射运算引入到杆系结构基于区间模型的非概率可靠性指标计算中。分别以某外伸梁和十杆桁架结构为例对该方法的可行性和有效性进行了验证。
The uncertainty parameter in the bar structure is expressed by the interval number, and the non-probabilistic reliability index of the structure is established. By combining the matrix affine arithmetic and recursive derivative information, an improved affine upper and lower bound formula of bivariate interval polynomial matrix is proposed. In this paper, affine and interval forms of bounded variables are given. The affine types of bounded uncertain variables and the matrix form of affine operations with derivative information are introduced into the bar structure based on the interval model Non-probabilistic reliability index calculation. The feasibility and effectiveness of this method are verified by taking a certain extension beam and ten-bar truss structure as an example.