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Passive–active vibration isolation systems to produce zero or infinite dynamic modulus: theoretical and conceptual design strategies

Passive–active vibration isolation systems to produce zero or infinite dynamic modulus: theoretical and conceptual design strategies
Passive–active vibration isolation systems to produce zero or infinite dynamic modulus: theoretical and conceptual design strategies
The application of mechanical springs connected in parallel and/or in series with active springs can produce dynamical systems characterised by infinite or zero value stiffness. This mathematical model is extended to more general cases by examining the dynamic modulus associated with damping, stiffness and mass effects. This produces a theoretical basis on which to design an isolation system with infinite or zero dynamic modulus, such that stiffness and damping may have infinite or zero values. Several theoretical designs using a mixture of passive and active systems connected in parallel and/or in series are proposed to overcome limitations of feedback gain experienced in practice to achieve an infinite or zero dynamic modulus. It is shown that such systems can be developed to reduce the weight supported by active actuators as demonstrated, for example, by examining suspension systems of very low natural frequency or with a very large supporting stiffness or with a viscous damper or a self-excited vibration oscillator. A more general system is created by combining these individual systems allowing adjustment of the supporting stiffness and damping using both displacement and velocity feedback controls. Frequency response curves show the effects of active feedback control on the dynamical behaviour of these systems. The theoretical design strategies presented can be applied to design feasible hybrid vibration control systems displaying increased control performance.
0022-460X
615-636
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Xing, J.T., Xiong, Y.P. and Price, W.G. (2005) Passive–active vibration isolation systems to produce zero or infinite dynamic modulus: theoretical and conceptual design strategies. Journal of Sound and Vibration, 286 (3), 615-636. (doi:10.1016/j.jsv.2004.10.018).

Record type: Article

Abstract

The application of mechanical springs connected in parallel and/or in series with active springs can produce dynamical systems characterised by infinite or zero value stiffness. This mathematical model is extended to more general cases by examining the dynamic modulus associated with damping, stiffness and mass effects. This produces a theoretical basis on which to design an isolation system with infinite or zero dynamic modulus, such that stiffness and damping may have infinite or zero values. Several theoretical designs using a mixture of passive and active systems connected in parallel and/or in series are proposed to overcome limitations of feedback gain experienced in practice to achieve an infinite or zero dynamic modulus. It is shown that such systems can be developed to reduce the weight supported by active actuators as demonstrated, for example, by examining suspension systems of very low natural frequency or with a very large supporting stiffness or with a viscous damper or a self-excited vibration oscillator. A more general system is created by combining these individual systems allowing adjustment of the supporting stiffness and damping using both displacement and velocity feedback controls. Frequency response curves show the effects of active feedback control on the dynamical behaviour of these systems. The theoretical design strategies presented can be applied to design feasible hybrid vibration control systems displaying increased control performance.

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Published date: 2005
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Identifiers

Local EPrints ID: 22995
URI: https://eprints.soton.ac.uk/id/eprint/22995
DOI: doi:10.1016/j.jsv.2004.10.018
ISSN: 0022-460X
PURE UUID: 7bc298db-2bca-440f-9052-c59ec9bcc88a
ORCID for Y.P. Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 14 Mar 2006
Last modified: 17 Sep 2019 01:02

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Contributors

Author: J.T. Xing
Author: Y.P. Xiong ORCID iD
Author: W.G. Price

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