This paper presents two parameter foundation models for free vibration analysis of non-homogeneous orthotropic rectangular plate resting on elastic foundation whose concept is extensively used in engineering practice. | Nội dung Text DQM modeling of rectangular plate resting on two parameter foundation Engineering Solid Mechanics 4 2016 33-44 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm DQM modeling of rectangular plate resting on two parameter foundation . Guptaa Seema Sharmab and Prag Singhalc a Ex-Emeritus Professor Department of Mathematics Indian Institute of Technology Roorkee Roorkee India b Department of Mathematics Gurukul Kangri University Haridwar India c Department of Applied Sciences and Humanities Raj Kumar Goel Institute of Technology Ghaziabad India ARTICLE INFO ABSTRACT Article history This paper presents two parameter foundation models for free vibration analysis of non- Received 6 April 2015 homogeneous orthotropic rectangular plate resting on elastic foundation whose concept is Accepted 10 October 2015 extensively used in engineering practice. Following Lévy approach . the two parallel edges Available online are simply supported the fourth order differential equation governing the motion of such plates 11 October 2015 Keywords of non-linear varying thickness in one direction has been solved by using an efficient and rapid DQM convergent numerical approximation technique that is called differential quadrature method Two parameter foundation DQM . Appropriate boundary conditions accompany the differential quadrature method to Orthotropy and thickness transform the resulting differential equation into an eigenvalue problem. The effects of variation thickness variation foundation parameters and other plate parameters with boundary conditions on frequency are examined. The numerical results show that the method converges significantly irrespective of parameters involved. 2016 Growing Science Ltd. All rights reserved. 1. Introduction The analysis of vibration of a plate on elastic foundation is of considerable interest and widely used in engineering structures such as railroad pipeline aerospace .
