| 基于TANA函数的非概率可靠度分析方法 |
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| 作者姓名： | 邢汉峥 吴浩 王雨田 李文艺 马瑞 郝鹏 |
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| 作者单位： | 大连理工大学工程力学系工业装备结构分析国家重点实验室，大连 116024,北京宇航系统工程研究所，北京 100076,大连理工大学工程力学系工业装备结构分析国家重点实验室，大连 116024,大连理工大学工程力学系工业装备结构分析国家重点实验室，大连 116024,大连理工大学工程力学系工业装备结构分析国家重点实验室，大连 116024,大连理工大学工程力学系工业装备结构分析国家重点实验室，大连 116024 |
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| 基金项目： | 国家自然科学基金（11772078，11825202）；辽宁省优秀青年基金（2019-YQ-01）；兴辽英才青年拔尖人才项目（XLYC1907142） |
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| 摘 要： | 建立一种基于TANA(Two-Point Adaptive Nonlinear Approximation)函数的高效稳定非概率型可靠度分析方法。首先,对随机变量采用凸集合非概率多椭球模型进行描述,在可靠度指标法框架下,采用增强混沌控制(Enhanced Chaos Control,ECC)方法,在逼近最佳设计点时,利用两点自适应非线性逼近的TANA2函数拟合强非线性的功能函数,减少了可靠度分析中功能函数的调用次数,有效提高了算法的效率及稳定性。还对不同非线性程度的功能函数进行了可靠度求解以及优化的算例验证。
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| 关 键 词： | 非概率型不确定性优化 多椭球模型 可靠度指标法 TANA2函数 TECC方法 |
Non-Probabilistic Reliability Analysis Method Based on TANA Function |
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| Authors: | XING Hanzheng WU Hao WANG Yutian LI Wenyi MA Rui HAO Peng |
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| Institution: | State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China,Beijing Institute of Astronautical Systems Engineering, Beijing 100076, China,State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China and State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, an efficient and stable non-probabilistic reliability analysis method is proposed based on TANA function. Firstly, the random variables are described by non-probabilistic convex set multi-ellipsoid model. In the framework of reliability index approach, the enhanced chaos control method is adopted. When the optimal design point is approached, the TANA2 function, a two-point adaptive nonlinear approximation, is used to fit the highly nonlinear performance function, which reduces the calls of the performance function in the reliability analysis, and effectively improves the efficiency and stability of the algorithm. The examples of reliability analysis and optimization with different nonlinearity performance functions are also verified in this paper. |
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| Keywords: | Non-probabilistic uncertainty optimization Multiple ellipsoid model Reliability index approach TANA2 function TECC(TANA fitted Enhanced Chaos Control) method |
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