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运动分岔并联机构运动学性能分析

Kinematics Performance Analysis of Bifurcation Parallel Mechanism

  • 摘要: 提出一种具有运动分岔特性的并联机构,利用螺旋理论分析了其自由度和运动分岔特性,结果表明当机构处于运动分岔点时,动平台拥有5个自由度,通过驱使不同驱动副,机构可以演变成具有不同运动分岔特性的构型,包括三移动一转动,两移动两转动。为实现两种构型合理切换,采用刚化驱动的方法,选取合理的驱动副。分析并联机构在不同构型下的运动学正反解,得出在两种构型下运动反解方程与正解方程的解析解,机构具有较好的运动解耦性,利用ADAMS验证了运动正反解的正确性。通过雅可比矩阵分析了机构的奇异位形,结果表明在合理的工作范围下两种运动模式均没有奇异位形。绘制了机构的工作空间。基于运动/力传递性能方法分析了机构性能指标,得到了工作空间内的性能分布图,结果显示两种构型都具有较好的运动/力传递特性,优质工作空间大。

     

    Abstract: At present, many parallel mechanisms with motion bifurcation characteristics use single-loop mechanisms. The mechanism is complex and the configuration is monotonous. There are few known parallel mechanisms with 3T1R and 2R2T multi-modes.A branch chain with motion bifurcation characteristics was introduced into the parallel mechanism, and a motion bifurcation parallel mechanism with 3T1R + 2R2T two modes was obtained, and its degree of freedom and motion bifurcation characteristics were analyzed by using the screw theory.The results showed that when the mechanism was at the motion bifurcation point, the moving platform had five degrees of freedom. By driving different driving pairs, the mechanism can evolve into a configuration with different motion bifurcation characteristics, including three movements and one rotation, two movements and two rotations. In order to realize the reasonable switching between the two configurations, a rigid drive method was used to select a reasonable drive pair. The forward and inverse kinematics solutions of the parallel mechanism in different configurations were analyzed. It was concluded that both the forward and inverse kinematics equations can be solved analytically. The mechanism had good motion decoupling. The correctness of the forward and inverse kinematics solution was verified by ADAMS. The singularity of the mechanism was analyzed by Jacobi matrix. The results showed that there was no singularity in the two motion modes in a reasonable working range. The workspace of the organization was drawn. Based on the motion/force transfer performance method, the performance index of the mechanism was analyzed, and the performance distribution map in the workspace was drawn. The results showed that the two configurations had good motion/force transfer characteristics, and the high quality workspace was large.

     

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