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研究了最小二乘近似、再生核质点近似、径向基函数近似以及一致径向基函数近似等方案的近似特点,并将其应用于金属塑性成形过程刚塑性无网格伽辽金分析中。采用变换法修正速度场近似,采用反正切摩擦模型施加摩擦边界条件,结合金属刚塑性流动理论,建立了刚塑性无网格伽辽金方法,并分析了各近似方案在金属塑性成形过程分析中的应用特点和前景。通过典型函数近似和塑性成形过程的模拟近似,获得了关于各近似方案近似能力和在成形过程分析中应用的一些结论。
The approximate characteristics of least squares approximation, approximation of recoil kernel, radial basis function approximation, and uniform radial basis function approximation are studied and applied to the rigid plastic element - free Galerkin analysis of metal plastic forming. The velocity field approximation was modified by the transformation method, the friction boundary condition was imposed by the arc tangent friction model, and the rigid-plastic meshless Galerkin method was established by combining with the rigid-plastic flow theory. The analysis of each approximate solution in the metal plastic forming process The application features and prospects. Through the approximate approximations of typical functions and the plastic approximation of plastic forming process, some conclusions about the approximation ability of each approximation scheme and its application in forming process analysis are obtained.