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• W2059164471 abstract "The problem of free flexural vibrations of thin annular plates under uniform in-plane compressive forces along the inner and/or outer edges has been analyzed in detail by the Rayleigh-Ritz method for eight different combinations of clamped, simply supported and free edges support conditions. Accurate estimates of eigenfrequencies have been obtained for various values of hole sizes and load intensity ratios (actual load/critical buckling load) and for a wide range of circumferential wave number. It is found that when the flexural mode of vibration coincides with the critical buckling mode of a given annulus, the eigenvalue parameter (=ω2γhb4/D) varies more or less linearly with load intensity ratio, particularly when the plate is subjected to either equal pressures along both edges or external pressure. For asymmetric modes, unlike for the axisymmetric mode, the frequency of plates under internal pressure is observed to increase with increasing load intensity ratio. An interesting observation is that in all those cases in which the plate buckles first in many circumferential waves (i.e., the axisymmetric mode not being the critical buckling mode) there is, in general, a reordering of modes and the fundamental mode of vibration of loaded plates depends in each case on the edge support condition and the value of the load intensity ratio." @default.
• W2059164471 created "2016-06-24" @default.
• W2059164471 creator A5054908515 @default.
• W2059164471 date "1980-05-01" @default.
• W2059164471 modified "2023-10-18" @default.
• W2059164471 title "Flexural vibrations of annular plates under uniform in-plane compressive forces" @default.
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• W2059164471 doi "https://doi.org/10.1016/0022-460x(80)90558-1" @default.
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