Formulation and free vibration analysis of spinning Timoshenko composite beams using nonlinear geometrically exact theory
Hossein Beiranvand,
Seyyed Ali Asghar Hosseini
Abstract:In this study, a set of generalized nonlinear equations of motion for Timoshenko composite shafts is derived using the geometrically exact approach. These partial differential equations of motion are discretized by Galerkin method and the free vibration of an orthotropic spinning shaft with hinged‐hinged boundary conditions is investigated using the multiple‐scale method. We find that in the case of two mode discretization, composite couplings can have significant linear and nonlinear effects on the behavior o… Show more
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