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Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters
Institution:1. School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, China;2. Key Laboratory for Mechanics in Fluid-Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;3. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;1. State Key Laboratory for Strength and Vibration of Mechanical Structures / Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, School of Aerospace, Xi''an Jiaotong University, Xi''an, 710049, PR China;2. The 41st Institute of the Fourth Academy of CASC, Xi''an, 710025, PR China;1. School of Civil Engineering, Hefei University of Technology, Hefei 230009, PR China;2. College of Civil Engineering, Yancheng Institute of Technology, Yancheng 224051, PR China;1. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, Hunan 410082, China;2. Center for Research on Leading Technology of Special Equipment, School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China;1. College of Energy and Electrical Engineering, Hohai University, 8 West Focheng Street, Nanjing, Jiangsu 211100, China;2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing, Jiangsu 210016, China
Abstract:Non-probabilistic reliability based multidisciplinary design optimization has been widely acknowledged as an advanced methodology for complex system design when the data is insufficient. In this work, the uncertainty propagation analysis method in multidisciplinary system based on subinterval theory is firstly studied to obtain the uncertain responses. Then, based on the non-probabilistic set theory, the interval reliability based multidisciplinary design optimization model is established. Considering that the gradient information of interval reliability cannot be acquired in the whole design domain, which causes convergence difficulties and prohibitive computation, an interval reliability displacement based multidisciplinary design optimization method is proposed to address the issue. In the proposed method, the interval reliability displacement is introduced to measure the degree of interval reliability. By doing so, not only the connotation of the interval reliability is guaranteed, but more importantly, the partial gradient region for interval reliability is equivalently converted into full gradient region for reliability displacement. Consequently, the gradient information can be acquired under any circumstances and thus the convergence process is highly accelerated by utilizing the gradient optimization algorithms.
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