Vibration of plate on foundation with four edges free by finite cosine integral transform method
AUTOR(ES)
Zhong, Yang, Zhao, Xue-feng, Liu, Heng
FONTE
Lat. Am. j. solids struct.
DATA DE PUBLICAÇÃO
2014-10
RESUMO
The analytical solutions for the natural frequencies and mode shapes of the rectangular plate on foundation with four edges free is presented by using the finite cosine integral transform method. In the analysis procedure, the classical Kirchhoff rectangular plate is considered and the foundation is modelled as the Winkler elastic foundation. Because only are the basic dynamic elasticity equations of the thin plate on elastic foundation adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by present paper is reasonable and theoretical. In order to illuminate the correction of formulations, the numerical results are also presented to comparing with that of the other references.
Documentos Relacionados
- Free Vibration Analysis of Functionally Graded Nanocomposite Beams on Elastic Foundation Using a Mesh-Free Method
- Assessment of Homotopy Perturbation Method for Study the Forced Nonlinear Vibration of Orthotropic Circular Plate on Elastic Foundation
- Free Vibration of Laminated Composite Plate with Shape Memory Alloy Fibers
- Free vibration response of a multilayer smart hybrid composite plate with embedded SMA wires
- Vibration analysis of stiffened plates using finite element method
