continuous circular platesrigid supportsrotatory inertiaequations of motioncontinuity conditionsboundary conditionsPoisson's ratioelastic supports/ A0340D Mathematical theory of elasticity A4630M Vibrations, aeroelasticity, hydroelasticity, mechanical waves, and shocks...
In the present study, a theoretical method is developed to investigate free vibrations of circular plates immersed in fluids and a series of experimental tests are presented to validate the model. The coupled governing equations of both hydroelastic vibration of the plate and liquid sloshing are solv...
THE higher overtones of vibrating plates sometimes combine when it so happens that the periods of two or more of them are very nearly equal. This phenomenon, which is of academic rather than of applied interest, has been fully studied for a free circular plate....
The first﹌nown investigation is reported for free vibration of circular and annular Mindlin plates with intermediate concentric ring stiffeners. The total potential energy functional is first derived for the stiffened circular and annular plates. The Mindlin first﹐rder shear deformation plate theory is...
Carrington, H. (1925): The frequencies of vibration of flat circular plates fixed at the circumference. Phil. Mag. 50, 6, 1261–1264.H. Carrington, The frequencies of vibration of flat circular plates fixed at the circumference, Philosophical Magazine 50 (1925) 126ff....
A finite element analysis of non-linear vibration of an elastic circular plate with a concentric rigid mass is examined for different cases of boundary conditions. The non-linear partial differential equations and the associated boundary conditions are derived from an energy method, by using the Hami...
In this paper free vibration of multidirectional functionally graded (FG) circular plates is studied based on three-dimensional elasticity equations. It is assumed that the mechanical properties of this plate vary along the thickness and the radial directions. The vibration problem is solved by a sem...
T. Chen, “Analytical study and numerical experiments of true and spurious eigensolutions of free vibration of circular plates using real-part BEM,” Eng... J Chen,SY Lin,K Chen 被引量: 0发表: 2022年 Analytical and numerical studies of free vibrations of plate by imaginary-part BEM formula...
Buckling and vibration characteristics of circular laminated plates under in-plane edge loads and resting on Winkler-type foundation are solved by the Ritz method. Inclusive numerical data are presented for the first three eigen-frequencies as a function of in-plane load for different classical edge...
Free vibration of laminated antisymmetric angleply annular circular plates are studied with inclusion of first order shear deformation theory using a spline function approximation by applying a point collocation method. The equations of motion of the plates are derived using first order shear deformation...