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Kinematic analysis of a single-loop reconfigurable 7R mechanism with multiple operation modes

机译:具有多种操作模式的单回路可重构7R机构的运动学分析

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摘要

This paper presents a novel one-degree-of-freedom (1-DOF) single-loop reconfigurable 7R mechanism with multiple operation modes (SLR7RMMOM), composed of seven revolute (R) joints, via adding a revolute joint to the overconstrained Sarrus linkage. The SLR7RMMOM can switch from one operation mode to another without disconnection and reassembly, and is a non-overconstrained mechanism. The algorithm for the inverse kinematics of the serial 6R mechanism using kinematic mapping is adopted to deal with the kinematic analysis of the SLR7RMMOM. First, a numerical method is applied and an example is given to show that there are 13 sets of solutions for the SLR7RMMOM, corresponding to each input angle. Among these solutions, nine sets are real solutions, which are verified using both a computer-aided design (CAD) model and a prototype of the mechanism. Then an algebraic approach is also used to analyse the mechanism and same results are obtained as the numerical one. It is shown from both numerical and algebraic approaches that the SLR7RMMOM has three operation modes: a translational mode and two 1-DOF planar modes. The transitional configurations among the three modes are also identified.
机译:本文提出了一种新颖的单自由度(1-DOF)单环可重配置7R机制,具有多种操作模式(SLR7RMMOM),该机制由七个旋转(R)关节组成,方法是将旋转关节添加到过度约束的Sarrus连杆中。 SLR7RMMOM可以在不断开连接和重新组装的情况下从一种操作模式切换到另一种操作模式,并且是一种不受限制的机制。采用运动学映射的串行6R机构逆运动学算法来处理SLR7RMMOM的运动学分析。首先,应用数值方法,并给出一个示例,以显示SLR7RMMOM的13个解集,分别对应于每个输入角度。在这些解决方案中,有九套是真实的解决方案,已使用计算机辅助设计(CAD)模型和该机制的原型进行了验证。然后,采用代数方法分析其机理,得到与数值结果相同的结果。从数值方法和代数方法都可以看出,SLR7RMMOM具有三种操作模式:平移模式和两个1-DOF平面模式。还确定了三种模式之间的过渡配置。

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