同时存在两类不确定性量的最轻结构设计方法

提出了在概率和非概率两类不确定性量同时存在条件下的最轻结构设计方法，描述了两种可行鲁棒性实现策略，讨论了其优缺点．所提方法应用于一个桁架结构的最轻设计，视材料弹性模量、杆元截面积为概率型变量，载荷为非概率型变量．计算结果表明，随着不确定性量波动变化程度的增加，结构质量亦增加，增加的材料是用于提高结构物抵抗不确定性参数波动变化的能力的．

The design for the minimum weight of structures with two types of uncertainties

This paper proposed the methodology for the design for minimum weight of structures with probabilistic uncertainty and non-probabilistic uncertainty simultaneously. Two strategies for feasibility robustness were described and their advantages and disadvantages were concisely discussed. The proposed methods were applied to the design for the minimum weight of a ten-bar truss structure, and in the numerical example, the elasticity of modulus and the bar cross-sectional areas were treated as probabilistic design parameter and design variables respectively while the loads applied to the structure were taken as non-probabilistic variables. Numerical results showed that the total mass of the structure increased as the variation of uncertain variables increased. Increased masses were required to protect the structure from variability of uncertain variables.