基于贝叶斯理论的结构系统可靠性优化设计

Reliability Optimization Design of Structure Systems Based on Bayesian Theory

提出一种新的可靠性优化设计方法来解决小样本可靠性优化设计问题。首先用贝叶斯理论进行结构可靠性预测,给出贝叶斯可靠度的概念;然后建立贝叶斯可靠性优化设计的数学模型,提出贝叶斯可靠性优化设计的数值方法。数值算例验证了所提方法的有效性和正确性。

The objective of the research is to present a new reliability--based optimization design method that solves the form of finite test samples. A Bayesian reliability- based optimization mathematical model was established and the Bayesian reliability--based optimization approach was presented herein. The method adopted a Bayesian inference technique to estimate reliability, gave definition of Bayesian reliability. The results illustrate the method presented is an efficient and practical reliability--based optimization approach.