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Any time I have dealt with mechanical vibrations, the fundamental frequency was based on a constant stiffness. However, I have never encountered the subject of finding the fundamental frequency of objects where the stiffness varies with displacement from equilibrium (i.e., a simply supported beam resting on curved supports, such that the supported length changes as the beam deflects.)

Could someone point to a resource that deals with this subject?

Much appreciated.

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# Fundamental frequency of an object with nonlinear stiffness.

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