Minimax optimization problem of structural design

摘要: The paper discusses a problem of robust optimal design elastic structures when the loading is unknown. It assumed that only an integral constraint for given. We suggest to minimize principal compliance domain equal maximum stored energy over all admissible loadings. maximal under extreme, worst possible loading. Hence should optimize behavior structure in scenario, which itself depends on and subject optimization. formulate as min-max structure. chosen constrained class loadings, while minimum taken set parameters. show extreme can be reduced elasticity with mixed nonlinear boundary condition; this may have multiple solutions. optimization respect designed takes into account multiplicity loadings so strong material distributed equally resist Continuous change causes bifurcation solution problem. invariance constraints symmetry transformation leads design. Examples are demonstrated.