Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation
Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation
A Nonlinear Parametrically Excited (NPE) system subjected to a harmonic base excitation is presented. Parametric amplification, which is the process of amplifying the system’s response with a parametric excitation, has been observed in mechanical and electrical systems. This paper includes an introduction to the equation of motion of interest, a brief analysis of the equations nonlinear response, and numerical results. The present work describes the effect of cubic stiffness nonlinearity, cubic parametric nonlinearity, and the relative phase between the base excitation and parametric excitation under parametric amplification. The nonlinearities investigated in this paper are generated by an electromagnetic system. These nonlinearities were found both experimentally and analytically in previous work [1]; however, their effect on a base excited NPE is demonstrated in the scope of this paper. This work has application in parametric amplification for systems, which are affected by strong stiffness nonlinearities and excited by harmonic motion. A careful selection of system parameters, such as relative phase and cubic parametric nonlinearity can result in significant parametric amplification, and prevent the jump from upper stable solutions to the lower stable solutions.
1-10
Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Rustighi, Emiliano
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Ghandchi Tehrani, Maryam
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Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Zaghari, Bahareh, Rustighi, Emiliano and Ghandchi Tehrani, Maryam
(2016)
Dynamic response of a nonlinear parametrically excited system subject to harmonic base excitation.
Journal of Physics: Conference Series, .
(In Press)
Abstract
A Nonlinear Parametrically Excited (NPE) system subjected to a harmonic base excitation is presented. Parametric amplification, which is the process of amplifying the system’s response with a parametric excitation, has been observed in mechanical and electrical systems. This paper includes an introduction to the equation of motion of interest, a brief analysis of the equations nonlinear response, and numerical results. The present work describes the effect of cubic stiffness nonlinearity, cubic parametric nonlinearity, and the relative phase between the base excitation and parametric excitation under parametric amplification. The nonlinearities investigated in this paper are generated by an electromagnetic system. These nonlinearities were found both experimentally and analytically in previous work [1]; however, their effect on a base excited NPE is demonstrated in the scope of this paper. This work has application in parametric amplification for systems, which are affected by strong stiffness nonlinearities and excited by harmonic motion. A careful selection of system parameters, such as relative phase and cubic parametric nonlinearity can result in significant parametric amplification, and prevent the jump from upper stable solutions to the lower stable solutions.
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Accepted/In Press date: 12 August 2016
Organisations:
Dynamics Group, Signal Processing & Control Grp
Identifiers
Local EPrints ID: 399582
URI: http://eprints.soton.ac.uk/id/eprint/399582
ISSN: 1742-6588
PURE UUID: aa4d1f01-3cf1-4d0b-99f8-4d7c11349c1f
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Date deposited: 19 Aug 2016 12:29
Last modified: 20 Sep 2024 02:01
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Author:
Bahareh Zaghari
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