Quasi-Green's function method for free vibration of clamped thin plates on Winkler foundation

DOI10.1007/S10483-011-1412-XzbMath1319.74016OpenAlexW2085768041MaRDI QIDQ539234

Shan-qing Li, Hong Yuan

Publication date: 27 May 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1412-x

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Plates (74K20) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15)

Related Items (3)

New Fourier series expansion for free vibration problem of orthotropic thin plates with two adjacent edges elastically restrained against rotation and their opposite corner free ⋮ Vibration analysis of piezoelectric composite plate resting on nonlinear elastic foundations using sinc and discrete singular convolution differential quadrature techniques ⋮ Thermodynamic response of beams on Winkler foundation irradiated by moving laser pulses

Cites Work

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• Quasi-Green's function method for free vibration of simply-supported trapezoidal shallow spherical shell
• Green quasifunction method for vibration of simply-supported thin polygonic plates on pasternak foundation
• Regularisierte Faltung von Distributionen. Teil 1: Zur Berechnung von Fundamentallösungen
• Solution of the problem of deflection and vibrations of plates by the R-function method
• Boundary element analysis of a plate on elastic foundations
• An energy estimate of the flexural behaviour of a circular foundation embedded in an isotropic elastic medium

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