Maximizing the Fundamental Natural Frequency of a Beam with an Intermediate Elastic Support
D Wang (Northwestern Polytechnical University, PR China), MI Friswell (University of Bristol) & Y Lei (National University of Defense Technology, Changsha, PR China)
Journal of Sound and Vibration, Vol. 291, No. 3-5, April 2006, pp. 1229-1238
The minimum stiffness of a simple (or point) support that raises a natural frequency of a beam to its upper limit is investigated for different boundary conditions. The approach produces the closed-form solution for the minimum stiffness based on the derivative of a natural frequency with respect to the support position. It is seen that when an intermediate elastic support is positioned properly the effect is similar to a rigid support. The solution process also provides insight into the dynamics of a beam with an intermediate support for more general boundary conditions. The resulting solutions can be used to guide the practical design of a support.
This material has been published in the Journal of Sound and Vibration, Vol. 291, No. 3-5, April 2006, pp. 1229-1238, 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.2005.06.028
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