Design methodology of magnetic fields and structures for magneto-mechanical resonator based on topology optimization

Akihiro Takezawa*, Jaewook Lee, Mitsuru Kitamura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Magneto-mechanical resonators—magnetically-driven vibration devices—are used in many mechanical and electrical devices. We develop topology optimization (TO) to configure the magnetic fields of such resonators to enable large vibrations under specified current input to be attained. A dynamic magneto-mechanical analysis in the frequency domain is considered where we introduce the surface magnetic force calculated from the Maxwell stress tensor. The optimization problem is then formulated involving specifically the maximization of the dynamic compliance. This formulation is implemented using the solid-isotropic-material-with-penalization method for TO by taking into account the relative permeability, Young’s modulus, and the mass density of the magnetic material as functions of the density function. Through the 2D numerical studies, we confirm that this TO method works well in designing magnetic field patterns and providing matching between the external current frequency and eigenfrequency of the vibrating structure.

Original languageEnglish
Pages (from-to)19-38
Number of pages20
JournalOptimization and Engineering
Issue number1
Publication statusPublished - 2018 Mar 1
Externally publishedYes


  • Finite element method
  • Frequency response analysis
  • Magneto-mechanical analysis
  • Resonator
  • Topology optimization

ASJC Scopus subject areas

  • Software
  • Civil and Structural Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering


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