Cylindrical Shell Redesign by Large Admissible Perturbations

by Basem Alzahabi, Univ of Michigan, Ann Arbor, United States,
Michael M. Bernitsas, Univ of Michigan, Ann Arbor, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

Redesign (or inverse design) is the problem of defining an objective structural State S2 from its specifications and the known baseline State S1. The large admissible perturbations approach to redesign produces the optimal State S2 without trial and error by post-processing Finite Element Analysis (FEA) results of State S1 only, with no additional FEAs even for 100% differences between S1 and S2 in response and geometry. Circular cylindrical shells present special challenges in redesign because radial and longitudinal modal dynamics are separable. Twelve numerical applications on a 144-element 896-d.o.f. cylindrical shell show the accuracy and efficiency of the methodology for compatible or incompatible redesign specifications.

Subject Headings: Finite element method | Cylindrical shell method | Numerical methods | Structural analysis | Shell structures | Mathematics | Geometrics

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