Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes

Y. Maeda, Shinji Nishiwaki, K. Izui, M. Yoshimura, K. Matsui, Kenjiro Terada

    Research output: Contribution to journalArticlepeer-review

    91 Citations (Scopus)

    Abstract

    In vibration optimization problems, eigenfrequencies are usually maximized in the optimization since resonance phenomena in a mechanical structure must be avoided, and maximizing eigenfrequencies can provide a high probability of dynamic stability. However, vibrating mechanical structures can provide additional useful dynamic functions or performance if desired eigenfrequencies and eigenmode shapes in the structures can be implemented. In this research, we propose a new topology optimization method for designing vibrating structures that targets desired eigenfrequencies and eigenmode shapes. Several numerical examples are presented to confirm that the method presented here can provide optimized vibrating structures applicable to the design of mechanical resonators and actuators.

    Original languageEnglish
    Pages (from-to)597-628
    Number of pages32
    JournalInternational Journal for Numerical Methods in Engineering
    Volume67
    Issue number5
    DOIs
    Publication statusPublished - 2006 Jul 30

    Keywords

    • Homogenization theory
    • Multi-objective optimization
    • Structural analysis
    • Topology optimization
    • Vibrating structures

    ASJC Scopus subject areas

    • Numerical Analysis
    • Engineering(all)
    • Applied Mathematics

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