Parametrically excited nonlinear two-degree-of-freedom electromechanical systems
Parametrically excited nonlinear two-degree-of-freedom electromechanical systems
This paper presents a nonlinear parametrically excited cantilever beam with electromagnets. A parametrically excited two-degree-of-freedom (2-DOF) system with linear time-varying stiffness, nonlinear cubic stiffness, nonlinear cubic parametric stiffness and nonlinear damping is considered. In previous studies the stability and bifurcation of the nonlinear parametrically excited 2-DOF were investigated through analytical, semi-analytical and numerical methods. Unlike previous studies, in this contribution the system's response amplitude and phase at parametric resonance and parametric combination resonance are demonstrated experimentally and some novel results are discussed. Experimental and analytical amplitude-frequency plots are presented to show the stable solutions. Solutions for the system response are presented for specific values of parametric excitation frequency and the energy transfer between modes of vibrations is observed. The results presented in this paper prove that the bifurcation point and hence the bandwidth of the parametric resonance can be predicted correctly with the proposed analytical method. The proposed nonlinear parametrically excited 2-DOF can be used to design Micro ElectroMechanical Systems (MEMS) actuators and sensors. Validating the experimental results with the theory can improve the efficiency of these electrical systems.
1-8
Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Kniffka, Till
dccb6ba2-4f39-4985-b43e-388bed818d38
Levett, Cameron
b15c2fbb-72dc-4e48-b320-f931eb9e4be4
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
July 2019
Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Kniffka, Till
dccb6ba2-4f39-4985-b43e-388bed818d38
Levett, Cameron
b15c2fbb-72dc-4e48-b320-f931eb9e4be4
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Zaghari, Bahareh, Kniffka, Till, Levett, Cameron and Rustighi, Emiliano
(2019)
Parametrically excited nonlinear two-degree-of-freedom electromechanical systems.
Journal of Physics: Conference Series, 1264 (conference 1), .
(doi:10.1088/1742-6596/1264/1/012024).
Abstract
This paper presents a nonlinear parametrically excited cantilever beam with electromagnets. A parametrically excited two-degree-of-freedom (2-DOF) system with linear time-varying stiffness, nonlinear cubic stiffness, nonlinear cubic parametric stiffness and nonlinear damping is considered. In previous studies the stability and bifurcation of the nonlinear parametrically excited 2-DOF were investigated through analytical, semi-analytical and numerical methods. Unlike previous studies, in this contribution the system's response amplitude and phase at parametric resonance and parametric combination resonance are demonstrated experimentally and some novel results are discussed. Experimental and analytical amplitude-frequency plots are presented to show the stable solutions. Solutions for the system response are presented for specific values of parametric excitation frequency and the energy transfer between modes of vibrations is observed. The results presented in this paper prove that the bifurcation point and hence the bandwidth of the parametric resonance can be predicted correctly with the proposed analytical method. The proposed nonlinear parametrically excited 2-DOF can be used to design Micro ElectroMechanical Systems (MEMS) actuators and sensors. Validating the experimental results with the theory can improve the efficiency of these electrical systems.
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Zaghari 2019 J. Phys. Conf. Ser. 1264 012024
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Accepted/In Press date: 15 April 2019
Published date: July 2019
Venue - Dates:
13th International Conference on Recent Advances in Structural Dynamics, RASD 2019, Valpré, Lyon, France, 2019-04-15 - 2019-04-17
Identifiers
Local EPrints ID: 430512
URI: http://eprints.soton.ac.uk/id/eprint/430512
ISSN: 1742-6588
PURE UUID: 15301b66-7b30-48e0-b070-929a446810ad
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Date deposited: 02 May 2019 16:30
Last modified: 16 Mar 2024 03:32
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Author:
Bahareh Zaghari
Author:
Till Kniffka
Author:
Cameron Levett
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