Eigenvalue analysis of Timoshenko beams and axisymmetric Mindlin plates by the pseudospectral method |
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| Affiliation: | 1. Zhejiang provincial construction engineering quality inspection station Ltd., Hangzhou 310012, PR China;2. School of Port and Transportation Engineering, Zhejiang Ocean University, Zhoushan 316022, PR China;1. Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria;2. Department of Thermodynamics, Fluid Mechanics and Aviation Propulsion Systems, Lublin University of Technology, Lublin, Poland;3. Department of Applied Mechanics, Lublin University of Technology, Lublin, Poland |
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| Abstract: | A study of the free vibration of Timoshenko beams and axisymmetric Mindlin plates is presented. The analysis is based on the Chebyshev pseudospectral method, which has been widely used in the solution of fluid mechanics problems. Clamped, simply supported, free and sliding boundary conditions of Timoshenko beams are treated, and numerical results are presented for different thickness-to-length ratios. Eigenvalues of the axisymmetric vibration of Mindlin plates with clamped, simply supported and free boundary conditions are presented for various thickness-to-radius ratios. |
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