1M. Tech Student, Department of Mechanical Engineering, Yadvindra College of Engineering, Punjabi University, Guru Kashi Campus Talwandi Sabo, Bathinda, Punjab, India
2Assistant Professor, Department of Mechanical Engineering, Yadvindra College of Engineering, Punjabi University, Guru Kashi Campus Talwandi Sabo, Bathinda, Punjab, India
Online published on 21 November, 2017.
For analysis of mechanical parts in designing it needs to calculate mechanical properties of element or a part, for this we start from the stress/strain calculation. Although stress/strain problems can be solved analytically, but for high accuracy, time to solve the problem and for solving the typical problems (e.g. irregular shaped part, beams with various loading conditions, moving boundary problems etc.) process needs a method so that above problems can be solved easily or minimized. FEM is the primary method for simulation of parts. But there is a problem associated with FEM that it is complicated to solve problems of discontinuous stress and strain or distortion or deformed body. Because re meshing problem arises in the procedure. It consumes most of the analysis time. So, there is a procedure to overcome from this problem that is Mesh free Methods. This saves the re meshing time. Because, this method is based on nodes calculation rather than element calculation In this work different mesh free methods are discussed and the mainly EFGM (ELEMENT FREE GALERIKIN METHOD) is used to solve the problem. A problem of varying cross section is solved by this method. The results are compared with the FEM solution as well as with the analytical solution for the validation of results. The main work is to validate the results after that the effect of the weight function, domain of influence etc. are discussed as well as compared their results are compared.
Element Free Galerkin Method, FEM, Mesh free methods, one dimensional stress, varying cross sectional beam
