This article proposes a new algorithm of quaternion and dual quaternion in matrix form. It applies quaternion in special cases of rotated plane, transforming the sine and cosine of the rotation angle into matrix form,...This article proposes a new algorithm of quaternion and dual quaternion in matrix form. It applies quaternion in special cases of rotated plane, transforming the sine and cosine of the rotation angle into matrix form, then exporting flat quaternions base in two matrix form. It establishes serial 6R manipulator kinematic equations in the form of quaternion matrix. Then five variables are eliminated through linear elimination and application of lexicographic Groebner base. Thus, upper bound of the degree of the equation is determined, which is 16. In this way, a 16-degree equation with single variable is obtained without any extraneous root. This is the first time that quaternion matrix modeling has been used in 6R robot inverse kinematics analysis.展开更多
Based on the D-H notation, kinematics model and inverse kinematics model of 6R industrial robots are established. Using graphical method, the boundary curve equations of the 6R industrial robot workspace are obtained....Based on the D-H notation, kinematics model and inverse kinematics model of 6R industrial robots are established. Using graphical method, the boundary curve equations of the 6R industrial robot workspace are obtained. Based on the prescribed workspace, the D-H parameter optimization method of 6R industrial robots is proposed. Using the genetic algorithm to determine the structural dimensions of a 6R robot, we make sure that its workspace can exactly contain the prescribed workspace. This method can be used to reduce the overall size of the robot, save materials and reduce the power consumption of the robot during its work time.展开更多
为了提高工业机器人的交互性,进行了构建具有三维可视化环境的人机交互系统研究。本文以6R机器人为对象建立了机器人运动学模型,利用矢量积方法推导了雅克比矩阵,为仿真和监控数据的可视化奠定了基础。给出了可视化环境的实现方案,设计...为了提高工业机器人的交互性,进行了构建具有三维可视化环境的人机交互系统研究。本文以6R机器人为对象建立了机器人运动学模型,利用矢量积方法推导了雅克比矩阵,为仿真和监控数据的可视化奠定了基础。给出了可视化环境的实现方案,设计了编译控制指令和仿真的算法流程,并以JOpen Show Var作为网络通信开发包设计了监控的通信结构。开发实现了机器人的仿真和监控系统,并进行了实验验证。实验结果表明该系统具有形象直观的人机交互环境,而且具有良好的监控实时性。展开更多
文摘This article proposes a new algorithm of quaternion and dual quaternion in matrix form. It applies quaternion in special cases of rotated plane, transforming the sine and cosine of the rotation angle into matrix form, then exporting flat quaternions base in two matrix form. It establishes serial 6R manipulator kinematic equations in the form of quaternion matrix. Then five variables are eliminated through linear elimination and application of lexicographic Groebner base. Thus, upper bound of the degree of the equation is determined, which is 16. In this way, a 16-degree equation with single variable is obtained without any extraneous root. This is the first time that quaternion matrix modeling has been used in 6R robot inverse kinematics analysis.
文摘Based on the D-H notation, kinematics model and inverse kinematics model of 6R industrial robots are established. Using graphical method, the boundary curve equations of the 6R industrial robot workspace are obtained. Based on the prescribed workspace, the D-H parameter optimization method of 6R industrial robots is proposed. Using the genetic algorithm to determine the structural dimensions of a 6R robot, we make sure that its workspace can exactly contain the prescribed workspace. This method can be used to reduce the overall size of the robot, save materials and reduce the power consumption of the robot during its work time.
文摘为了提高工业机器人的交互性,进行了构建具有三维可视化环境的人机交互系统研究。本文以6R机器人为对象建立了机器人运动学模型,利用矢量积方法推导了雅克比矩阵,为仿真和监控数据的可视化奠定了基础。给出了可视化环境的实现方案,设计了编译控制指令和仿真的算法流程,并以JOpen Show Var作为网络通信开发包设计了监控的通信结构。开发实现了机器人的仿真和监控系统,并进行了实验验证。实验结果表明该系统具有形象直观的人机交互环境,而且具有良好的监控实时性。
