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Nonlinear Dynamics of a Micromechanical Non-Contact Induction Suspension

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Abstract

The article constructs and studies a nonlinear electromechanical model of the motion of a microscale conductive non-deformable ring in a non-contact electromagnetic induction suspension. The equilibrium positions of the ring were analytically found, their stability was investigated, and the corresponding bifurcation diagrams were constructed. Using asymptotic methods of nonlinear mechanics, the nonlinear dynamics of the system near its equilibrium position is studied. The system was linearized near its equilibrium position and an expression for the magnetic stiffness of the suspension was obtained. The possibility of using electrostatic fields to control the value of the total linear rigidity of a levitating suspension is considered.

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Funding

The study was supported by the Russian Science Foundation, grant no. 21-71-10009, https://rscf.ru/project/21-71-10009/

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Authors and Affiliations

  1. Peter the Great St.Petersburg Polytechnic University, 195251, St. Petersburg, Russia

    D. Yu. Skubov, P. P. Udalov, I. A. Popov & A. V. Lukin

  2. Institute of Problems in Mechanical Engineering of the RAS, 199078, St. Petersburg, Russia

    D. Yu. Skubov & D. A. Indeitsev

  3. Institute of Microstructure Technology, Karlsruhe Institute of Technology, Karlsruhe, Germany

    K. V. Poletkin

Authors
  1. D. Yu. Skubov
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  2. D. A. Indeitsev
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  3. P. P. Udalov
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  4. I. A. Popov
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  5. A. V. Lukin
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  6. K. V. Poletkin
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Correspondence to D. Yu. Skubov, D. A. Indeitsev, P. P. Udalov, I. A. Popov, A. V. Lukin or K. V. Poletkin.

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Translated by I. Katuev

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Skubov, D.Y., Indeitsev, D.A., Udalov, P.P. et al. Nonlinear Dynamics of a Micromechanical Non-Contact Induction Suspension. Mech. Solids 58, 2011–2023 (2023). https://doi.org/10.3103/S0025654423600307

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