Mathematics and Mechanics of Solids · 2015 · 13 citations · 19 references
EngineeringMechanical EngineeringComputational MechanicsComputational Structural AnalysisStructural EngineeringBending Of BeamsShell AnalysisAxisymmetric Shell AnalysisDiaphragm MechanicsOptimal Design
Axisymmetric deformation of a circular corrugated diaphragm is defined by the equations formulated in terms of projections of displacements on the axes of the principal plane equidistant from the tops of corrugations. The optimal design problem is considered basing on the homogenization of these equations. As a result, a diaphragm consisting of a flat central part and a corrugated part with variable amplitude is obtained.
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Asymptotic Analysis of Periodic Structures
Alain Bensoussan, J. L. Lions, George Papanicolaou et al. · Journal of Applied Mechanics · 1979 · 1.7K citations · Full text