Accurate and Efficient Reliability Analysis of Complex Structural Engineering Problems

复杂结构工程问题准确高效的可靠性分析

• 批准号: 1127698
• 负责人: Christopher Eamon
• 金额: $ 24.99万
• 依托单位: Wayne State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-09-01 至 2015-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1127698&HistoricalAwards=false
• 关键词: Accurate; Efficient; Reliability; Analysis; Complex

This research aims to develop an accurate and efficient method for reliability analysis of computationally and probabilistically complex structural engineering problems that cannot be accurately solved with current reliability methods without high-cost simulation approaches. This will be accomplished by formulating a simulation-based approach based on the method of conditional expectation and estimation of the probability density of the simulated results in the critical region of interest. The project will develop an optimal algorithm for probability density construction, a method to estimate error in the calculated reliability, and a new and accurate approach for efficient simulation utilizing variance reduction techniques. The methods developed in the project will be validated on a database of benchmark reliability problems as well as selected complex structural reliability problems representative of engineering practice. This research is expected to advance structural safety analysis for a variety of complex, high-fidelity engineering problems such as crash, impact, and blast analysis; metal forming; and complex structural system evaluation in various engineering disciplines. The work will provide advanced training to undergraduate and graduate students with their possible recruitment from underrepresented groups through existing university outreach programs. Selected research results will be incorporated in the structural engineering curriculum to expose students to state-of-the-art safety analysis methods.

本研究旨在开发一种准确、高效的方法，用于计算和概率复杂的结构工程问题的可靠性分析，这些问题无法用现有的可靠性方法精确解决，而不需要高成本的模拟方法。这将通过制定一种基于条件期望和估计关键感兴趣区域模拟结果概率密度的方法的模拟方法来完成。该项目将开发一种概率密度构建的最佳算法，一种在计算可靠性中估计误差的方法，以及一种利用方差减少技术进行有效模拟的新的准确方法。该项目中开发的方法将在基准可靠性问题数据库以及选定的具有工程实践代表性的复杂结构可靠性问题上进行验证。这项研究有望推动各种复杂、高保真工程问题的结构安全分析，如碰撞、冲击和爆炸分析；金属成形;以及各种工程学科中复杂结构体系的评价。这项工作将为本科生和研究生提供高级培训，并可能通过现有的大学外展计划从代表性不足的群体中招募他们。选定的研究成果将纳入结构工程课程，使学生接触到最先进的安全分析方法。