Maximization of eigenvalues using topology optimization |
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Authors: | NL Pedersen |
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Affiliation: | Department of Solid Mechanics, Technical University of Denmark, Building 404, DK-2800 Lyngby, Denmark?e-mail: niels@fam.dtu.dk, DK
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Abstract: | Topology optimization is used to optimize the eigenvalues of plates. The results are intended especially for MicroElectroMechanical Systems (MEMS) but can be seen as more general. The problem is not formulated as a case of reinforcement of an existing structure,
so there is a problem related to localized modes in low density areas. The topology optimization problem is formulated using
the SIMP method. Special attention is paid to a numerical method for removing localized eigenmodes in low density areas. The
method is applied to numerical examples of maximizing the first eigenfrequency. One example is a practical MEMS application;
a probe used in an Atomic Force Microscope (AFM). For the AFM probe the optimization is complicated by a constraint on the stiffness and constraints on higher
order eigenvalues.
Received June 10, 1999 |
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Keywords: | : Topology optimization SIMP eigenvalue MEMS design AFM probes FEM |
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