2013•Journal of Guangzhou UniversityRequires access

Free vibration of cantilever beam based on the modified motion equation of TIMOSHEKO

Min Ren

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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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What this paper is about

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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Available 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.

Key concepts: Cantilever, Vibration, Rotary inertia, Equations of motion, Eigenvalues and eigenvectors, Beam (structure), Inertia, Motion (physics)

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