Vibration Frequencies of Tapered Bars and Circular Plates
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Calculations are made of the values of the transverse vibrationa resonant frequencies for truncated-cone cantilever beams for a number of geometries, the boundary conditions being clamped/free, clamped/simply supported, and clamped/clamped. After noting an analogy which exists between the free vibration of cones and linearly tapered plates for the special case when Poisson’s ratio = 1/3, data are also given for the resonant axisymmetrical frequencies of clamped tapered circular plates. Some data for partially tapered plates are also computed. Aside from their value for design purposes, these data can be used as test cases for assessing the accuracy of various approximate methods of solution.
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Free vibration analysis of symmetrically laminated composite circular plates with curvilinear fibers
2017 ◽
Vol 24
(1)
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pp. 111-121
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2014 ◽
Vol 14
(03)
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pp. 1350071
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