基于非概率稳健可靠性的桁架结构优化设计

Truss structure optimization based on non-probabilistic theory

在结构非概率集合可靠性模型的基础上,考虑影响结构系统性能的荷载、材料弹性模量、材料抗拉强度等不确定参数,提出了桁架中压杆与拉杆的优化方法。将不确定量设定为区间,通过区间运算得到结构的非概率可靠度,使静定桁架中的杆件达到同一可靠度水平实现优化目标。并运用非概率可靠性方法对一桁架结构做了优化设计,算例证明此方法可行。

Considering the uncertainties of structure system, a optimization method of truss was give based on the non-probabilistic theory. The uncertainties were set as interval numbers and the non-probabilistic reliability of structures could be calculated by interval mathematics, and let the rods to achieve the same level of reliability to ob- tain the optimal design in statically determinate truss. Finally, the non-probabilistic theory was used to do optimiza- tion design of a truss structure, results showed that this method was feasible and has practical value.