New Approach to Obtain an Optimal Value for MQ-RBF Shape Parameter for the Nonlinear Analysis of Elastic Thin Plate- Juniper Publishers
Civil Engineering Research Journal- Juniper Publishers Abstract A new approach in using a multi-quadric radial basis function (MQ-RBF) in the analysis of nonlinear behaviour of elastic thin plate is provided. The approach provides a new method to obtain an optimal value of the shape parameter, c, involved in the (MQ-RBF). The shape parameter c plays a very important role in the accuracy and stability of the solution. The approach uses approximate exact linear solutions of linear analysis of the thin plates as standpoint toward the calculation of the optimal c value. Then, the optimal c values were implemented in the analysis of nonlinear thin plate behaviour. Combinations of different boundary conditions (simply, and clamped), for a square thin plate under uniform distribution loads were analysed. The accuracy of the adopted approach has been validated by comparing the results with FEM solutions. The comparison shows that the approach can be used effectively in obtaining the optimal