The effects of shear deformation on the free vibration of elastic beams with general boundary conditions

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science - Tập 224 Số 1 - Trang 71-84 - 2010
Jiong Li1, Hongxing Hua1
1Institute of Vibration, Shock & Noise, Shanghai Jiao Tong University, Shanghai, People’s Republic of China

Tóm tắt

Free vibration characteristics of shear deformable elastic beams subjected to different sets of boundary conditions are investigated. The analysis is based on a unified one-dimensional shear deformation beam theory. The governing equations of the elastic beams are obtained by means of Hamilton's principle. Four different boundary conditions are considered. The natural frequencies and mode shapes are obtained by applying the dynamic stiffness method, where the elements of the exact dynamic stiffness matrix are derived by using the analytical solutions of the governing equations of the beam in free vibration. The numerical results for the particular beams with different slenderness ratios are presented and compared with those available in the literature.

Từ khóa


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Thông tin xuất bản

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Tập 224 Số 1

71-84

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