Analyzing multi-mode and multi-position reliability of composite reinforced plate based on branch-bound method

基于分枝约界法的复材加筋板多模式多位置可靠性分析

¹ School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China
² National Key Laboratory of Aircraft Configuration Design, Xi’an 710072, China

Received: 22 September 2023

Abstract

To overcome the concurrency of multi-mode and multi-position failures of composite structures, this paper explores the application of the branch-bound method (BBM) to the multi-mode and multi-position reliability analysis and combines the Monte Carlo method to solve the multi-mode reliability. Firstly, "branch" is carried out by combining structural composition with loading state to identify all possible potential failure modes; "boundary" is carried out by combining structural characteristics with stress state to determine main failure modes and failure positions, thus establishing a multi-mode reliability analysis model. Secondly, by translating the unequal failure criterion to safe boundary equations, a framework for the reliability analysis of composite materials was established, and the Monte Carlo method was used to solve the reliability of multi-mode and multi-position failures. Finally, a reliability analysis case was used to validate the composite T-type reinforced plate under axial compressive load. The use of the BBM reduces the computational scale by 75%. The multi-mode reliability of the reinforced plate under axial compressive load is 0.998.

摘要

为了解决复合材料结构失效呈现多模式、多位置并发式, 探究了分枝约界方法(BBM)在复合材料多模式、多位置可靠性分析中的应用, 并结合蒙特卡罗方法对多模式可靠度进行了求解。结合结构组成、承载状态"分枝", 识别所有可能的潜在失效模式, 再结合结构特征、应力状态"约界", 确定主要失效模式和失效位置, 建立多模式可靠性分析模型; 通过复合材料独有的失效准则向安全边界方程进行转化, 探索复合材料可靠性分析的方法和流程框架, 并采用蒙特卡罗求解多模式、多位置失效的可靠度; 开展T型复合材料加筋板在轴压载荷下的可靠性分析案例验证, 通过使用分枝约界法计算规模减少75%, 轴压载荷下加筋板多模式可靠度为0.998。