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Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism

Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism
Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism
The dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism (NSM) are studied. The mathematical equations governing the nonlinear dynamics of the system are derived. The averaging method is used to obtain the frequency response function of the system subject to harmonic excitations. It is found that adding NSM can greatly enlarge the frequency band for effective vibration isolation. Numerical simulations reveal that sub-harmonic resonance may occur even when the excitation frequency is well above the natural frequency of the linearized system. As the effects of sub-harmonic response cannot be reflected by the averaging formulations, numerical integrations are used to obtain the dynamic responses including sub-harmonic and other frequency components. Furthermore, power flow characteristics of this nonlinear isolation system are examined for a better assessment of the isolation performance. The results show that the occurrences of sub-harmonic resonance may considerably increase both the time-averaged input power and maximum kinetic energy. Compared with linear systems, the power flows of the nonlinear system might be non-unique and sensitive to the initial conditions. Some suggestions on restricting the maximum deflection and suppressing sub-harmonic resonances are provided for effective designs of nonlinear isolation systems.
0022-460X
167-183
Yang, J.
03ecc588-0dc4-448f-a669-7c7838f6bd46
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce
Yang, J.
03ecc588-0dc4-448f-a669-7c7838f6bd46
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce

Yang, J., Xiong, Y.P. and Xing, J.T. (2012) Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism. Journal of Sound and Vibration, 332 (1), 167-183. (doi:10.1016/j.jsv.2012.08.010).

Record type: Article

Abstract

The dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism (NSM) are studied. The mathematical equations governing the nonlinear dynamics of the system are derived. The averaging method is used to obtain the frequency response function of the system subject to harmonic excitations. It is found that adding NSM can greatly enlarge the frequency band for effective vibration isolation. Numerical simulations reveal that sub-harmonic resonance may occur even when the excitation frequency is well above the natural frequency of the linearized system. As the effects of sub-harmonic response cannot be reflected by the averaging formulations, numerical integrations are used to obtain the dynamic responses including sub-harmonic and other frequency components. Furthermore, power flow characteristics of this nonlinear isolation system are examined for a better assessment of the isolation performance. The results show that the occurrences of sub-harmonic resonance may considerably increase both the time-averaged input power and maximum kinetic energy. Compared with linear systems, the power flows of the nonlinear system might be non-unique and sensitive to the initial conditions. Some suggestions on restricting the maximum deflection and suppressing sub-harmonic resonances are provided for effective designs of nonlinear isolation systems.

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Published date: 6 September 2012
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 344770
URI: http://eprints.soton.ac.uk/id/eprint/344770
ISSN: 0022-460X
PURE UUID: d15fdfbe-b661-4068-98a6-793076a776e5
ORCID for Y.P. Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 01 Nov 2012 13:12
Last modified: 03 Dec 2019 01:53

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