基于可靠度的桁架结构形状优化设计应用研究

传统的基于安全系数的半经验结构设计法并不能定量反映结构的可靠程度,而以概率统计理论为基础的结构可靠度设计因其能够定量反映结构的可靠程度而逐渐被推广应用.首先,讨论运用改进的一次二阶矩法建立针对桁架结构的可靠度计算模型；其次,建立以可靠度为约束条件的桁架结构形状优化设计模型；最后,通过运用应力信息熵改进的混沌粒子群算法求解.通过一个25杆桁架优化设计的算例表明,文中提出的模型和算法更具有合理性,能为实际工程结构形状优化设计提供理论和应用上的借鉴.

The application research of the truss structure shape optimal design based on the reliability

As is well-known that the traditional semiempirical structure design method based on safety coefficients is phasing out because it can’t reflects the structure reliability with quantity, and the structure reliability design method based on the probability and statistics theories is applied widely by engineering designers. According to the above thoughts, the truss structure shape optimization design method based on the reliability is put forward. Firstly, the truss structure reliability calculation mathematical model is established by the improved first-order second-moment method. Secondly, the truss structure shape optimization design model is built on the condition of the reliability constraint. At last, the stress entropy improved chaotic particle swarm optimization algorithm is come up to solve the above model. The example of A 25-bar truss shape optimization design shows that the proposed model and algorithm in this paper is more reasonable than others and it can provide the reference about theory and application for the practical engineering structure shape optimization design.