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Empirically-Derived, Constitutive Damping Model for Cellular Silicone

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Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9

Abstract

One of the more common forms of passive vibration isolation in mechanical systems has been the use of elastomeric or foam pads. Cellular silicone foam is one such example which has been used for vibration isolation and mitigating the effects of mechanical shock. There are many desirable properties of cellular silicone, including its resilience and relative insensitivity to environmental extremes. However, there is very little test data that is useful for understanding its dynamic characteristics or for the development of a predictive finite element model. The problem becomes increasingly difficult since foam materials typically exhibit nonlinear damping and stiffness characteristics. In this paper we present a test fixture design and method for extraction of a few dynamic properties of one type of cellular silicone foam pad. The nonlinear damping characteristics derived from the experimental testing are then used to attempt to improve the predictive capability of a linear finite element model of the system. Difficulties and lessons learned are also presented.

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Abbreviations

ω i :

Natural frequency of mode i

ζ i :

Damping ratio for mode i

\( \underline {\underline{M}} \) :

System mass matrix

\( \underline {\underline{C}} \) :

System damping matrix

\( \underline {\underline{K}} \) :

System stiffness matrix

\( \underline {\underline{\Phi}} \) :

Mode shape matrix

\( \underline {\ddot{q}} \) :

Modal acceleration vector

\( \underline{F} \) :

System external force vector

SE CS :

Strain energy in the cellular silicone material

\( {\underline {\underline{K}}}_{CS} \) :

Cellular silicone stiffness matrix

FEM:

Finite element model

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Correspondence to Jonathan B. Russ .

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Russ, J.B., Pacini, B.R. (2017). Empirically-Derived, Constitutive Damping Model for Cellular Silicone. In: Harvie, J., Baqersad, J. (eds) Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54735-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-54735-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54734-3

  • Online ISBN: 978-3-319-54735-0

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