Vibrations of annular plates including the effects of rotatory inertia and transverse shear deformation |
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| Authors: | SS Rao AS Prasad |
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| Institution: | Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208016, India;Department of Mechanical Engineering, Muzaffarpur Institute of Technology, Muzaffarpur, India |
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| Abstract: | An investigation of the natural vibrations of isotropic annular plates of uniform thickness has been made by considering the effects of rotatory inertia and shear deformation. The frequency determinantal equations are derived in explicit form for nine sets of common boundary conditions. Numerical results for the frequency parameters of annular plates having various thickness ratios and inner to outer radii ratios have been obtained. The results are compared with those given by the classical plate theory wherever possible. Among the effects of transverse shear deformation and rotatory inertia, the effect of shear deformation has been found to be more prominent. |
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