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OVERCOMING SINGULARITIES IN PARALLEL MANIPULATORS BY CHANGE IN BASE LENGTH

机译:克服平行操纵器中的奇点通过基数的变化

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The focus of this project is 5-bar parallel manipulator. There are many approaches to eliminate the singularities of this kind of manipulators, like redundant actuation, connecting two inverse kinematic solutions without a singularity, topology of self-motion manifolds of redundant manipulators, self-motion, extending the link length by prismatic joints etc. In this project, a novel approach is proposed to eliminate the singularities from the workspace. This investigation is proposed to be carried out for 2-DOF planar parallel manipulator to establish the concept. One of the base actuators (motors) is fixed to a linear actuator. This linear actuator extends when the end-effector is in the proximity of singularity loci. As the manipulator clears out of the singularity condition, then again, the parallel manipulator is reverted back to the original position by the linear actuator. Mathematically, when the manipulator attains a singularity condition, the Jacobian matrix loses/gains rank. A reconfiguration of the manipulator to a defined degree at this instance ensures a change in the determinant of the Jacobian matrix to a non-zero value, thereby avoiding the singularity condition. Once the singularity loci are avoided, the base length is reverted to its actual state by the linear actuator for the same trajectory of the end-effector within the defined workspace of the manipulator. As a result, the used trajectories remain unaffected by the effect of singularities and thus improve the efficiency of the parallel manipulator significantly.
机译:该项目的重点是5栏并行机械手。有许多方法可以消除这种操纵器的奇点,如冗余致动,连接两个反向运动液而没有奇差,冗余机械手的自动运动歧管的拓扑,自动运动,通过棱镜接头延伸链接长度等。在该项目中,提出了一种新的方法来消除工作空间的奇点。提出了这项调查,为2-DOF Paralar平行机械手进行,以建立概念。其中一个基座致动器(电机)固定到线性致动器。当末端执行器处于奇点基因座的接近时,该线性致动器延伸。当操纵器清除奇点状况时,然后再次,并联操纵器通过线性致动器恢复回原始位置。在数学上,当操纵器达到奇点状况时,雅各比亚克斯矩阵输掉/获得秩。在这种情况下,操纵器将操纵器重新配置确保了Jacobian矩阵到非零值的决定因素的变化,从而避免了奇点状况。一旦替代奇点基因座避免,基本长度通过线性致动器恢复到其实际状态,用于在操纵器的限定工作空间内的端部执行器的相同轨迹。结果,使用的轨迹不受奇点效果的影响,从而提高了平行机械手的效率。

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