On topology optimization of plates with prestress
Copyright policy )On topology optimization of plates with prestress
AbstractIn this work, topology optimization is used to optimize the compliance or eigenvalues of prestressed plates. The prestress is accounted for by including the force equivalent to the prestressing and adding the initial stress stiffness matrix to the original stiffness matrix. The calculation of the sensitivities is complicated because of the initial stress stiffness matrix, but the computational cost can be kept low by using the adjoint method. The topology optimization problem is solved using the solid isotropic material with penalization (SIMP) method in combination with method of moving asymptotes (MMA). Numerical examples of minimizing compliance or maximizing the first eigenvalue of plates are given. One example is a micro electro mechanical systems (MEMS) application involving a backplate used in a microphone in a hearing aid. Copyright © 2001 John Wiley & Sons, Ltd.
- Technical University of Denmark Denmark
initial stress stiffness matrix, Topological methods for optimization problems in solid mechanics, micro-electro-mechanical system, prestressed plate, solid isotropic material with penalization, method of moving asymptotes, Plates, adjoint method, eigenvalue optimization, topology optimization
initial stress stiffness matrix, Topological methods for optimization problems in solid mechanics, micro-electro-mechanical system, prestressed plate, solid isotropic material with penalization, method of moving asymptotes, Plates, adjoint method, eigenvalue optimization, topology optimization
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