Abstract：A novel algorithm for solving complex axisymmetric dynamic problems is put forward on the basis of the meshless natural neighbour Petrov-Galerkin method. Axial symmetry of geometry and boundary conditions reduces the original three-dimensional (3D) problem into a two-dimensional (2D) problem. Only a set of scattered nodes over the cross section are needed and no meshes are required either for interpolation purposes or for integration purposes. The natural neighbour interpolation shape functions possess Kronecker delta property and therefore the essential boundary conditions can be directly imposed. The three-node triangular finite element method shape functions are taken as test functions, which reduces the orders of integrands involved in domain integrals and improves the computational efficiency. Numerical examples show that the proposed method for solving axisymmetric dynamic problems is effective.
2015, Vol. 34 
