The Minimum Support Stiffness Required to Raise the Fundamental Natural Frequency of Plate Structures

MI Friswell (University of Bristol) & D Wang (Northwestern Polytechnical University, PR China)

Journal of Sound and Vibration, Vol. 301, No. 3-5, April 2007, pp. 665-677

Abstract

The minimum stiffness and optimum position of a flexible point support is calculated that raises the fundamental natural frequency of plate structures. For a single support the maximum fundamental natural frequency of the supported structure is equal to the second natural frequency of the unsupported structure. The structure is modelled using finite element analysis allowing a wide range of applications and boundary conditions. If a support is positioned within a finite element then the shape functions are used to calculate the contribution of the support to the system stiffness and also the slope of the mode at the support. Efficient methods are used to calculate the minimum support stiffness required. Numerical results demonstrate that a system with flexible supports may be designed with the same fundamental natural frequency as that of a system with rigid supports. Examples of plate structures with one or two point supports are analysed and show that the method is efficient in these cases.

Paper Availability

This material has been published in the Journal of Sound and Vibration, Vol. 301, No. 3-5, April 2007, pp. 665-677, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the Elsevier.


Link to paper using doi:10.1016/j.jsv.2006.10.016

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