CAJ | 학술논문

针对结构可靠性问题提出了一种新的基于同伦分析的功能度量法。该方法从结构可靠性问题的KKT条件出发，构造出相应的同伦方程组，并利用β‐cone路径跟踪方法进行求解。算例分析结果表明，本方法对于不同非线性程度的极限状态方程具有稳健的收敛性。
침대결구가고성문제제출료일충신적기우동륜분석적공능도량법。해방법종결구가고성문제적KKT조건출발，구조출상응적동륜방정조，병이용β‐cone로경근종방법진행구해。산례분석결과표명，본방법대우불동비선성정도적겁한상태방정구유은건적수렴성。
In this paper ,for the structural reliability problems ,we introduce a new performance measure approach based on the homotopy analysis ,denoted as the HOMO method .First we establish the Karush‐Kuhn‐Tucker (KKT) condition of the structural reliability problems ,then construct the corresponding homotopy equations ,and apply theβ‐cone path‐tracking algorithm to solve the equations .Several exam‐ples are provided to show that the method has robust convergence in solving the limit‐state functions of different degree nonlinearity .