First- and Second-Order Kinematics-Based Constraint System Analysis and Reconfiguration Identification for the Queer-Square Mechanism

First- and Second-Order Kinematics-Based Constraint System Analysis and Reconfiguration Identification for the Queer-Square Mechanism
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基于一阶和二阶运动学的酷儿方机构约束系统分析与重构辨识

DOI:
10.1115/1.4041486
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发表时间:
2018-11
期刊:
Journal of Mechanisms and Robotics
影响因子:
--
通讯作者:
Dai Jian S
Dai Jian S
中科院分区:
其他
文献类型:
--
作者:
Kang Xi;Zhang Xinsheng;Dai Jian S

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机构的重构识别是可重构机构设计与分析的基础。然而,多回路可重构机构的重构识别仍然是一个挑战。本文建立了正方形机构的一阶和二阶运动学模型,利用双线性形式的李括号的顺序运算得到约束系统。引入双线性形式以降低一阶和二阶约束的复杂性,以简化的形式获得了方形机构一阶和二阶运动学的约束系统。通过求解该约束系统,识别出该机构的六个运动分支,并给出了相应的几何条件。进而得到了机构的初始位形空间。
Reconfiguration identification of a mechanism is essential in design and analysis of reconfigurable mechanisms. However, reconfiguration identification of a multiloop reconfigurable mechanism is still a challenge. This paper establishes the first- and second-order kinematic model in the queer-square mechanism to obtain the constraint system by using the sequential operation of the Lie bracket in a bilinear form. Introducing a bilinear form to reduce the complexity of first- and second-order constraints, the constraint system with first- and second-order kinematics of the queer-square mechanism is attained in a simplified form. By obtaining the solutions of the constraint system, six motion branches of the queer-square mechanism are identified and their corresponding geometric conditions are presented. Moreover, the initial configuration space of the mechanism is obtained.
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