An exact frequency analysis of annular plates with small core having elastically restrained outer edge and sliding inner edge

Rao, Lokavarapu Bhaskara

doi:10.1016/j.apacoust.2016.03.006

Cited by 14 publications

(1 citation statement)

References 26 publications

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“…In the 2010's, new analysis techniques are introduced, for example, by Hamiltonian approach [9] and convolution and differential quadrature methods [10]. Other techniques are also used in references [11,12]. More recently, the author presented numerical results in five significant figures for the nine combinations [13].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Annular Plates Constrained by Translational and/or Rotational Springs on Outer and Inner Edges

Narita

2024

EPI-IJE

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This paper presents comprehensive lists of natural frequencies for vibration of thin isotropic annular plates with outer and inner edges elastically constrained by translational and rotational springs. A method is extended from a previously presented Ritz approach to include effects of the springs. In numerical examples, sixteen models are considered to cover all general cases of locating translational and/or rotational springs on outer and/or inner edges in addition to classical boundary conditions of free and simple supported edges. After convergence study and comparison test in specific cases are made to validate solution accuracy, frequency parameters of the sixteen models are summarized and frequency variations with increasing spring stiffness are illustrated.

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