1Department of Mechanical Engineering, School of Engineering, Gautam Buddha University, Greater Noida-201310 (U.P), India
2Department of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida-201310 (U.P), India
*Corresponding Author Email Id: mishrark_kanpur@yahoo.com
Radial basis function method is a generalized version of the multiquadric radial basis function method (MQRBF). It is considered an important tool for interpolating multidimensional scattered data. Its ability to handle arbitrarily scattered data, to easily generalize to several space dimensions, and to provide spectral accuracy have made it popular in various applications. In this paper development of the multi quadric radial basis function (MQRBF) has been discussed. Shape parameter plays important role, when MQRBF is applied to solve boundary value problems and it significantly affects the stability and accuracy. Value of the shape parameter decreases as number of data points increases. The effect of shape parameter is explained in details. Approaches for solving boundary value problems using multiquadric radial basis function have been mentioned.
Notations:a,b Dimension of plates, D Flexural rigidity of plates, E Young's modulus, h Thickness of plates, Viscous damping, dimensionless viscous damping, q,Q Transverse load, dimensionless transverse load, t*, t Time, dimensionless time, λ Aspect ratio (a/b), ν Poisson's ratio, ρ Mass density of plates, w Dimensionless displacement in z direction, w* Displacement in z*direction, m Mass of the plate
Radial basis function, Shape parameter, Plates, Damped response
