Maximization of eigenvalues using topology optimization

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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 call 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.
    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Volume20
    Issue number1
    Pages (from-to)2-11
    ISSN1615-147X
    DOIs
    Publication statusPublished - 2000

    Keywords

    • topology optimization
    • SIMP
    • eigenvalue
    • MEMS design
    • AFM probes
    • FEM

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