Free vibration of cantilever beam based on the modified motion equation of TIMOSHEKO
Min Ren
Abstract
Min Ren
Abstract
Associated with the modified motion equation of TIMOSHEKO,in which the rotational inertia induced by shear deformation is considered,a system approach to solving the eigenvalue problems of cantilever beam is presented.The validity of the approach is confirmed.In the end,an example of cantilever is shown.
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Associated with the modified motion equation of TIMOSHEKO,in which the rotational inertia induced by shear deformation is considered,a system approach to solving the eigenvalue problems of cantilever beam is presented.The validity of the approach is confirmed.In the end,an example of cantilever is shown.
Key concepts: Cantilever, Vibration, Rotary inertia, Equations of motion, Eigenvalues and eigenvectors, Beam (structure), Inertia, Motion (physics)