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.
Bibliographical notePublisher: Elsevier Ltd
Wang, D., Friswell, MI., & Lei, Y. (2006). Maximising the natural frequency of a beam with an intermediate elastic support. Journal of Sound and Vibration, 291(3-5), 1229 - 1238. https://doi.org/10.1016/j.jsv.2005.06.028