工作区
雅可比矩阵与行列式
并联机械手
运动学
静力学
还原(数学)
计算机科学
机制(生物学)
奇点
有限元法
自由度(物理和化学)
职位(财务)
机器人
控制理论(社会学)
结构工程
数学
几何学
人工智能
应用数学
工程类
物理
经典力学
财务
控制(管理)
量子力学
经济
作者
Tingting Su,Quan Yuan,Liang Xu,Yuchen Yan,Haojian Zhang,Xianjie Jian,Guangping He,Quanliang Zhao
摘要
Abstract In recent years, parallel robots have become a hot research topic in trauma fracture treatment because of their high precision, high load capacity, and compact structure. However, parallel robots have disadvantages like small workspaces and complex singularity. In this article, a novel redundant parallel mechanism (RPM) for long bone fracture reduction is proposed based on Stewart parallel mechanism (SPM). Six kinematically redundant DOFs (degrees-of-freedom) are added to the RPM. First, the kinematics of the RPM is established, and its workspace is calculated. The analysis results indicate that the position workspace of the RPM is about 19 times larger than that of the SPM. The RPM has a similar range of torsion angles as the SPM, but a more extensive range of tilt angles than the SPM. Second, the singularities of the two parallel mechanisms are compared based on the dimensionally homogeneous Jacobian matrix. The results show that the dexterity of the RPM is much better than the SPM. Third, a multiparameter multi-objective optimization method is proposed to optimize the geometry parameters of the RPM. The statics of the RPM is analyzed by finite element analysis. To further expand the performance of the RPM, the unfixed RPM (URPM) is proposed. The analysis results show that the URPM is superior to the RPM in terms of workspace and dexterity. Finally, experiments are conducted to verify the effectiveness of the proposed methods in this article.
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