Free vibration of circular plates with elastic edge supports using the receptance method

Effect of Elastic Foundation on Asymmetric Vibration of Polar Orthotropic Linearly Tapered Circular Plates

“…A comparison of our results with those available in the literature by Laura et al [9], Pardoen [34] and Azimi [18,26] shows an excellent agreement and is reported in Tables 4}6 respectively. R r /a, non-dimensional radius vector t time w w (r, , t) transverse displacement function = M (R, ) =(R) cos n = LMPK =/= K?V E P , E F Young's moduli of elasticity along r and directions respectively G PF shear modulus P , v F the Poisson ratio de"ned as strain in tangential and radial directions respectively h non-dimensional thickness of the plate at the centre h h (r), thickness of the plate = G shape function …”

On the radially symmetric vibrations of circular sandwich plates with polar orthotropic facings and isotropic core of quadratically varying thickness by harmonic differential quadrature method

“…2, as maximum deviations were observed for this data. A comparison of results for specified uniform isotropic circular plate (a = 0, b = 0, H f = 0, m c = 0.3, H o = 0.001, k s = 1) with exact solution [57] and obtained by Finite element method [58], Rayleigh-Ritz method [59], receptance method [60], Ritz method [61], symplectic method [62], for clamped and simply supported boundary conditions has been presented in Table 3. For varying values of H o and k s ¼ p 2 12 frequencies for Mindlin's plate have been compared in Table 4 for all the three boundary conditions with Irie et al [63].…”

Green’s function approach to frequency analysis of thin circular plates

“…The numerical results for plates with sliding supports are shown in Table 5 with comparison to Refs. [6,15]. The eigenvalues for plates with elastic supports and different values of elastic parameters on the edges are presented in Tables 6-8 with comparison to Refs.…”

“…The eigenvalues for plates with elastic supports and different values of elastic parameters on the edges are presented in Tables 6-8 with comparison to Refs. [6,15]. Table 2 The first ten lower dimensionless frequencies λ of free vibration of clamped circular plates Table 4 The first ten lower dimensionless frequencies λ of free vibration of simply supported circular plates Table 5 The first ten lower dimensionless frequencies λ of free vibration of circular plates with sliding edge Table 6 The first ten lower dimensionless frequencies λ of free vibration of circular plates with elastic supports (ϕ = 0.1; ψ = 100) Table 7 The first ten lower dimensionless frequencies λ of free vibration of circular plates with elastic supports (ϕ = 10; ψ = 100) Table 8 The first ten lower dimensionless frequencies λ of free vibration of circular plates with elastic supports (ϕ = 1000; ψ = 100)…”