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<p>The single design point reliability method is widely utilized for analyzing the reliability of structures or systems that have nonlinear limit-state functions. When structures have multiple design points, the single design point reliability method may lead to substantial inaccuracies. Although multi-point FORM/SORM enhances the accuracy of failure probability calculations, the results often remain unsatisfactory. This study examines a new multiple design points reliability analysis method based on multimodal optimization and hyperspherical cap area integral. The analysis consists of two main components. Initially, the k-cluster big bang-big crunch algorithm is employed to obtain several optimal solutions for multimodal optimization problems, aiming to discover multiple design points for structural performance functions. Subsequently, the failure probability is determined using the hyperspherical cap area integral for structures or systems with multiple design points. Finally, various examples verify the suggested method’s robustness and feasibility. Outcomes indicate that this approach improves the precision of reliability analysis in structures or systems with multiple design points.</p>

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Multiple design points reliability analysis method based on multimodal optimization and hyperspherical cap area integral

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Pengcheng Zhao,
  • Aoyang Zhang,
  • Zhenzhong Chen,
  • Qianghua Pan,
  • Guangming Guo,
  • Xiaoke Li,
  • Pei Feng,
  • Xuehui Gan,
  • Ge Chen

摘要

The single design point reliability method is widely utilized for analyzing the reliability of structures or systems that have nonlinear limit-state functions. When structures have multiple design points, the single design point reliability method may lead to substantial inaccuracies. Although multi-point FORM/SORM enhances the accuracy of failure probability calculations, the results often remain unsatisfactory. This study examines a new multiple design points reliability analysis method based on multimodal optimization and hyperspherical cap area integral. The analysis consists of two main components. Initially, the k-cluster big bang-big crunch algorithm is employed to obtain several optimal solutions for multimodal optimization problems, aiming to discover multiple design points for structural performance functions. Subsequently, the failure probability is determined using the hyperspherical cap area integral for structures or systems with multiple design points. Finally, various examples verify the suggested method’s robustness and feasibility. Outcomes indicate that this approach improves the precision of reliability analysis in structures or systems with multiple design points.