Static and Dynamic analysis of rectangular isotropic plate using multiquadric radial basis function

This paper presents a methodology based on the collocation multiquadric radial basis functions to analyze the static and dynamic behavior of isotropic rectangular plates. The inertia and dissipative terms are evaluated by employing Newmark implicit time marching scheme. The spatial discretization of the differential equations generates greater number of algebraic equations than the unknown coefficients. The multiple linear regression analysis, based on the least square error norm, is employed to obtain the coefficients. Convergence study has been carried out. The clamped and simply supported immovable rectangular plates subjected to uniformly distributed loadings are studied. Results have been compared with the results obtained by other numerical and analytical methods. Notations b a, Dimension of plates D Flexural rigidity of plates E Young’s modulus h Thickness of plates   C C , * Viscous damping, dimensionless viscous damping Q q, Transverse load, dimensionless transverse load t t , * Time, dimensionless time * Department of Mechanical Engg, School of Engineering, Gautam Buddha University, Gautam Buddha Nagar, Greater Noida-201310 (U.P) India. IJMIE Volume 2, Issue 8 ISSN: 2249-0558 ___________________________________________________________ A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A., Open J-Gage as well as in Cabell’s Directories of Publishing Opportunities, U.S.A. International Journal of Management, IT and Engineering http://www.ijmra.us 167 August 2012  Aspect ratio ) / ( b a  Poisson’s ratio  Mass density of plates w Dimensionless displacement in z direction * w Displacement in * z direction m Mass of the plate