In this paper, a collocation technique with the modified equilibrium on line method （ELM） for imposition of Neumann （natural） boundary conditions is presented for solving the two-dimensional problems of linear ela...In this paper, a collocation technique with the modified equilibrium on line method （ELM） for imposition of Neumann （natural） boundary conditions is presented for solving the two-dimensional problems of linear elastic body vibrations. In the modified ELM, equilibrium over the lines on the natural boundary is satisfied as Neumann boundary condition equations. In other words, the natural boundary conditions are satisfied naturally by using the weak formulation. The performance of the modified version of the ELM is studied for collocation methods based on two different ways to construct meshless shape functions： moving least squares approximation and radial basis point interpolation. Numerical examples of two-dimensional free and forced vibration analyses show that by using the modified ELM, more stable and accurate results would be obtained in comparison with the direct collocation method.展开更多
A new method of both analysis and graphics is presented for solving the problem of velocity analysis of a spatial four-bar mechanism. Central to the method is how to use the principle of virtual forces equilibrium sys...A new method of both analysis and graphics is presented for solving the problem of velocity analysis of a spatial four-bar mechanism. Central to the method is how to use the principle of virtual forces equilibrium system connected with the principle of virtual velocity to solve the velocity analysis of a mechanism. The method is accurate in principle and much simpler than the conventional method. It can be applied to both planar and spatial mechanisms. For brevity an example of a spatial mechanism only is presented.展开更多
文摘In this paper, a collocation technique with the modified equilibrium on line method （ELM） for imposition of Neumann （natural） boundary conditions is presented for solving the two-dimensional problems of linear elastic body vibrations. In the modified ELM, equilibrium over the lines on the natural boundary is satisfied as Neumann boundary condition equations. In other words, the natural boundary conditions are satisfied naturally by using the weak formulation. The performance of the modified version of the ELM is studied for collocation methods based on two different ways to construct meshless shape functions： moving least squares approximation and radial basis point interpolation. Numerical examples of two-dimensional free and forced vibration analyses show that by using the modified ELM, more stable and accurate results would be obtained in comparison with the direct collocation method.
文摘A new method of both analysis and graphics is presented for solving the problem of velocity analysis of a spatial four-bar mechanism. Central to the method is how to use the principle of virtual forces equilibrium system connected with the principle of virtual velocity to solve the velocity analysis of a mechanism. The method is accurate in principle and much simpler than the conventional method. It can be applied to both planar and spatial mechanisms. For brevity an example of a spatial mechanism only is presented.
