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Free vibration analysis of Mindlin plates partially resting on Pasternak foundation
, Article International Journal of Mechanical Sciences ; Volume 75 , 2013 , Pages 1-7 ; 00207403 (ISSN) ; Aghdam, M. M ; Fallah, A ; Sharif University of Technology
Abstract
In this paper, the generalized differential quadrature (GDQ) method is used to study free vibration of moderately thick rectangular plate partially resting on Pasternak foundation. The foundation is considered to support the plate either completely or partially. The governing equations which consist of a system of partial differential equations (PDEs) are obtained based on the first-order shear deformation theory. Various combinations of simply supported, clamped and free boundary conditions are considered. Application of the GDQ method to the governing PDEs resulted in a system of algebraic equations. Solution of this system with accordance to the considered boundary conditions leads to an...
Free vibration analysis of cylindrical shells partially resting on an elastic foundation
, Article Meccanica ; Volume 51, Issue 5 , 2016 , Pages 1113-1125 ; 00256455 (ISSN) ; Firouz Abadi, R. D ; Sharif University of Technology
Springer Netherlands
2016
Abstract
The present study aims at the investigation of free vibration analysis of thin cylindrical shells surrounded by an elastic medium, which is distributed over a particular length of the shell. The Love’s shell theory is utilized along with the Winkler foundation to obtain the governing equations of motion. An exact series expansion method of solution is employed for any arbitrary boundary conditions. The excellent accuracy of the obtained results is validated by comparing to the available literature. Moreover, several case studies are performed to provide an insight into the influence of some practically important parameters on free vibrations of circular cylindrical shells, including...