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Electromagnetomechanics

  • Zhen (Leo) Liu
Chapter

Abstract

This chapter for electromagnetomechanics splits into magnetomechanics and electromechanics. Magnetomechanics deals with the steady-state force created by a magnetic field, which usually results from a permanent magnet or a constant current flowing through a conductor, and the mechanical responses caused by this magnetostatic (or magnetic) force. Accordingly, we will show the formulation of the force between a magnetic and a current using the Lorentz force law and that between magnets using both the Ampère model and the Gilbert model. For electromechanics, two major electromechanical mechanisms, i.e., piezoelectric effect and piezoresistive effect, will be discussed for their mathematical formulations and applications. In the final practice problem section, an example will be given for the electric potential generated by a lead zirconate titanate (piezoelectric) beam.

Keywords

Electromagnetomechanics Magnetomechanics Megnetostatic force Ampère model Gilbert model Electromechanics Piezoelectric effect Piezoresistive effect 

References

  1. Fernandes A, Pouget J (2003) Analytical and numerical approaches to piezoelectric bimorph. Int J Solids Struct 40(17):4331–4352CrossRefGoogle Scholar
  2. Manyuhina O, Shklyarevskiy I, Jonkheijm P, Christianen P, Fasolino A, Katsnelson M, Schenning A, Meijer E, Henze O, Kilbinger A (2007) Anharmonic magnetic deformation of self-assembled molecular nanocapsules. Phys Rev Lett 98(14):146101CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Zhen (Leo) Liu
    • 1
  1. 1.Michigan Technological UniversityHoughtonUSA

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