关键词: 三维公差综合, 拟蒙特卡罗, 旋量参数, 广义逆矩阵, Halton序列

Abstract:

To deal with the disadvantages of low convergence and unstable results of Monte-Carlo method in computer aided 3D tolerance synthesis,a simulation method for computer aided 3D tolerance synthesis was proposed based on quasi Monte-Carlo method.On the basis of 3D tolerance representation of  the  screw parameter and spinor matrix,a 3D tolerance synthesis simulation equation  was established using coordinate transform knowledge in robot kinematics of rigid body and the method of generalized inverse matrix.The procedure of generating normal distribution random number with  Halton sequence and the process of 3D tolerance synthesis simulation were given.Finally,an engineering example,gear pump, was introduced to test the proposed method.The results show that the quasi Monte-Carlo method has higher convergence rate and more stable evaluation results than those of  Monte-Carlo method.Therefore,the quasi Monte-Carlo can be applied efficiently to the computer aided 3D tolerance synthesis simulation.

Key words: 3D tolerance synthesis, quasi Monte-Carlo, screw parameter, generalized inverse matrix, Halton equence