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Structural and mechanical dynamics

Gideon Oteng Agyei's picture

I am looking for the right shape function of a cantilever beam, where  the free end  is simply supported by a spring with stiffness K varying between zero and infinity, thus when K= 0, the beam is assumed a cantilever, whereas when K= ∞, it assumed a propped cantilever beam. The mode shape needs to satisfy all the boundary conditions.

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