tailieunhanh - An effective combination of finite element and differential quadrature method for analyzing of plates partially resting on elastic foundation

This paper is concerned with the vibration and stability analysis of thick rectangular plates resting on elastic foundation, which is distributed over the particular area of the plate. A two-parameter (Pasternak) model is considered to describe the elastic foundation. | An effective combination of finite element and differential quadrature method for analyzing of plates partially resting on elastic foundation Engineering Solid Mechanics4 2016 201-218 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm An effective combination of finite element and differential quadrature method for analyzing of plates partially resting on elastic foundation Mehdi Dehghan Mohammad Zamani Nejad and Amin Moosaie Mechanical Engineering Department Yasouj University P. O. Box 75914-353 Yasouj Iran A R T I C L EI N F O ABSTRACT Article history This paper is concerned with the vibration and stability analysis of thick rectangular plates Received 6 March 2016 resting on elastic foundation which is distributed over the particular area of the plate. A two- Accepted 23 June 2016 parameter Pasternak model is considered to describe the elastic foundation. The eigenvalue Available online problem in 3-D domain is numerically solved by a combination of the finite element and 23 June 2016 Keywords differential quadrature method DQM . The energy principle is employed to derive the FE-DQ method governing equations in the framework of three-dimensional linear and small strain theory of Stability and free vibration elasticity. The in-plane domain of the problem is discretized using two-dimensional finite Thick plates elements and spatial derivatives of equations in the thickness direction are discretized in strong- Partial elastic foundation form using DQM. As a first endeavor the mixed FE-DQ method has been employed for 3-D buckling and free vibration analysis of rectangular thick plates partially supported by an elastic foundation. The accuracy of obtained results is validated by comparing to the few analytical solutions in the literature. 2016 Growing Science Ltd. All rights reserved. 1. Introduction The vibration of plates resting on elastic foundations which has practical applications in civil mechanical .