A direct solution framework for structural optimization problems with interval uncertainties |
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Institution: | 1. College of Mechanical Engineering, University of South China, Hengyang 421001, China;2. Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China, Hengyang 421001, China;1. School of Landscape Architecture, Zhejiang A&F University, Hangzhou 311300, China;2. Department of Civil Engineering, Department of Mathematics, University of Akron, USA;1. Faculty of Science and Technology, Laboratory of Mechanics and Civil Engineering, Tangier, Morocco;2. Centro de Astrobiología (CSIC-INTA), Instituto Nacional de Técnica Aeroespacial, Torrejón de Ardoz, Madrid, Spain |
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Abstract: | A direct solution framework based on multi-objective evolutionary algorithm is developed to solve the structural optimization problems with interval uncertainties. The midpoint and radius of the uncertain original objective are treated as two equally important objectives, which are solved by a multi-objective evolutionary algorithm. The satisfaction value of interval possibility degree model is utilized to deal with nonlinear uncertain constraints and then the degree of constraint violation based on this model is calculated to judge the design vector individuals which one is feasible or infeasible. Subsequently, a selection strategy based on interval constrained-domination rule is utilized to realize the ranking of different design vectors. Finally, two numerical examples and the structural design of augmented reality glasses are investigated to verify the applicability and effectiveness of the proposed method. |
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