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Journal ArticleDOI

Natural Frequencies of Transversely Vibrating Uniform Annular Plates

S. M. Vogel, +1 more
- 01 Dec 1965 - 
- Vol. 32, Iss: 4, pp 926-931
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This article is published in Journal of Applied Mechanics.The article was published on 1965-12-01. It has received 166 citations till now. The article focuses on the topics: Resonance & Boundary value problem.

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Stability of circular plates subjected to moving loads

TL;DR: In this article, the Green's function for a centrally clamped, peripherally free plate is formulated as a Fourier eigenfunction series and the plate response is determined for two circumnavigating, peripheral-moving load excitations: (1) a harmonic load at constant angular velocity and (2) a load whose speed is the sum of a constant and a harmonic component.
Journal ArticleDOI

Hydroelastic behaviour of a conical shell impacting on a quiescent-free surface of an incompressible liquid

TL;DR: In this article, a hydrodynamic Wagner model is coupled with a linear model of elasticity for thin shells to simulate a cone falling on a flat-free surface of an incompressible liquid.
Journal ArticleDOI

Flexural vibration analysis of an eccentric annular Mindlin plate

TL;DR: In this article, a weak-form quadrature element method is presented to study the flexural vibrations of an eccentric annular Mindlin plate and the natural frequencies are obtained for both thin and moderately thick plates.
Journal ArticleDOI

Spatial mapping of multimode Brownian motions in high-frequency silicon carbide microdisk resonators

TL;DR: High-frequency multimode silicon carbide microdisk resonators and spatial mapping of the intrinsic Brownian thermomechanical vibrations, up to the ninth flexural mode, with displacement sensitivities of ~7-14 fm Hz(-1/2), are demonstrated.
Journal ArticleDOI

Acoustic radiation from out-of-plane modes of an annular disk using thin and thick plate theories

TL;DR: In this article, structural eigensolutions for the out-of-plane modes and sound radiation from the modal vibration of a thick annular disk with free-free boundaries have been calculated using both thick and thin plate theories.
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