基于Beckhoff平台Delta并联机构轨迹规划的实现

本研究基于Beckhoff的自动化平台,实现Delta并联机构轨迹规划的程序开发。首先对Delta并联机构进行分析和结构简化,求解了运动学逆解。针对并联机构运动学逆问题求解容易的特性及运动方面高速、平稳的需求,提出了在笛卡尔坐标空间采用正弦规律函数进行轨迹规划。然后借助Beckhoff工业自动化控制平台自带的电子凸轮和时间虚轴工具,将已确定的轨迹规划的在程序内部的进行实现。最后将开发的Delta并联机构轨迹规划的程序在公司自主研发的并联机器人上进行实机的应用测试,测试的数据结果表明轨迹规划在Beckhoff平台上实现方法的正确性及其性能满足Delta并联机构高速平稳的指标。     

约束条件下的巡线机器人逆运动学求解

高压输电线路巡检机器人是一种多关节悬挂运动机构,要实现其运动控制就需要根据机器人的本身机构特点和悬挂系统的运动约束条件进行运动学分析.本文利用微分扭转法对巡线机器人的正向运动学进行了求解,并通过对机器人悬挂系统的力学分析,得到了机器人运动学的约束条件,并在这种约束条件下,采用了一种可用来进行实时控制的迭代循环坐标下降(CCD)算法,来进行机器人的逆运动学求解.这种迭代算法对于有运动约束系统的逆运动学求解具有较强的适用性,而且它具有较好的收敛性和有效性,适合于在线计算,便于巡线机器人的实时运动控制.     

基于SimMechanics的三自由度并联机器人仿真

Delta型机器人是一种三自由度纯平动并联机构,介绍了应用Simulink的SimMechanics模块集对Delta平台进行仿真研究的方法。运用SimMechanics模块对并联机器人进行建模,并根据机构的几何特性建立运动学逆解求取模块,给出动平台规划运动轨迹,通过运动学逆解求取模块生成机构驱动轴输入运动信号,对机构模型进行运动仿真。仿真结果表明,所建立的机械模型和逆解求取模块以及轨迹跟踪都符合实际系统特性,仿真方法高效、实用。     

耦合型3自由度并联稳定平台机构及其运动特征

基于舰船摇荡运动的耦合特征,采用耦合型3-SRR/SRU 3自由度并联机构作为舰载稳定平台机构,实现了稳定平台三轴驱动、动平台五轴联动补偿的目标．运用螺旋理论分析了机构的自由度和运动特征, 并讨论了输入关节选取的合理性|采用坐标等效运动的方法,建立机构耦合运动约束方程,得到了位置解及工作空间．本文将耦合型3-SRR/SRU 3自由度并联机构用于舰载稳定平台五轴联动补偿,拓展了少自由度并联机构的应用领域．     

3-TCT并联机器人运动学仿真

以Pro/E环境下建立的3-TCT并联机器人的模型为研究对象,在ADAMS/View模块下,对其添加约束和驱动后,进行运动学仿真.给定动甲台的位移,测量驱动杆杆长的变化曲线,利用ADAMS/Postprocessor模块对测量结果进行后处理,可得运动学逆解;以逆解得到的驱动杆杆长的变化曲线作为驱动,添加到驱动杆上可进行运动学正向求解.正逆解仿真结果对比表明,动平台正解时的运动轨迹和逆解时的运动轨迹完伞吻合.方法避免了大量的数学计算和计算机语言编程工作,通过CAE仿真软件实现了对并联机器人的运动学仿真,为并联机器人实际样机的调试和控制提供了一套有效的分析方法.     

七自由度带电作业机器人逆运动学求解方法研究

本文以七自由度双臂带电作业机器人为研究对象,针对七自由度逆运动学求解计算复杂,实时控制困难的问题,在分析机器人的机械结构及建立正向运动学模型的基础上,采用位姿分解法与代数迭代法相结合的方式求解运动学逆解,将七自由度逆运动学求解转化为四自由度位置冗余问题,并设计了具体的程序流程图,经过仿真验证,该算法减小了逆运动学求解的计算量,提高了机器人控制的实时性。     

关节型机器人运动学仿真及控制系统设计

关节型机器人各运动关节动态特性和控制系统的稳定性直接影响机器人以及轨迹规划的可达性。以IRB140关节型机器人为研究对象,依据标准D-H参数法和空间位姿变换理论推导出机器人正向运动学数学模型,并采用机器人逆运动学和改进后的五次多项式插值算法实现了机器人在关节空间下进行轨迹规划时各运动关节速度和加速度过渡平滑的目的。最后,搭建机器人控制系统实验平台,实验结果表明,所设计的关节型机器人控制系统能够准确、稳定的控制各关节运动,精准地完成不同运动路径下的夹取搬运任务,满足实际生产工作要求。     

一种混合驱动柔索并联仿生眼的轨迹规划

在与眼球运动相关的解剖学和运动学的基础上,设计了一种符合Listing定理的基于混合驱动柔索并联机构的3自由度机器人仿生眼.通过矢量封闭方法建立了逆运动学模型,求解出柔索并联机器人的雅可比矩阵和结构矩阵.利用达朗贝尔定理建立柔索并联机器人的力矩平衡方程组,采用广义逆矩阵的相关理论,以柔索张力矢量的2范数最小为目标进行张力优化.用蒙特卡洛方法计算出仿生眼球可达工作空间.最后,在Simulink环境下进行仿真,规划运动轨迹并得到柔索并联机器人运动特性的仿真结果,证明了本文设计的机构符合Listing定理.结果表明:基于混合驱动柔索并联机构的机器人仿生眼结构合理,数学模型正确.     

PUMA机器人逆运动模拟退火粒子群求解方法

机器人逆运动问题随着运动关节的增多而越来越复杂,要建立逆运动通用的解析算法相当困难。提出利用模拟退火粒子群优化算法在解空间的搜索能力,直接从正向运动方程出发求解机器人关节变量的方法,讨论了目标函数的建立方式及算法实现步骤。实验分析该方法在位置和姿态方面的求解精度,并证实了算法的有效性。     

基于位置反解算法的并联机器人坐标变换方法

目的为提高工作效率,提升工业机器人的可靠性、稳定性和运动精度,避免机器人出现速度以及加速度的突变,对机器人的位置进行准确的控制。方法 以RBT-6T03P并联机器人为例,应用坐标变化法和位置反解算法对并联机器人机构的位置坐标进行分析并利用MATLAB进行仿真。结果 结果表明：通过位置反解对并联机器人的坐标进行变换求解是方便可行。结论 所述控制方法相对于并联机器人求正解算法更加简单、方便、快捷。     

基于MATLAB的模块化机器人手臂运动学算法验证及运动仿真

针对由模块化关节构成的六自由度串联机器人手臂, 采用DH法对手臂的操作空间进行了描述, 得到了正运动学模型; 采用欧拉角表示手臂姿态, 得到了包含六个参数的用于表示手臂位姿的完备广义坐标, 并对欧拉角的几何关系进行了分析。针对SolidWorks虽然实体建模简洁方便但计算并非其强项的缺点, 编写相应接口程序, 将建立的手臂三维实体模型保留几何约束关系简化后导入MATLAB软件。基于MATLAB编写正逆运动学算法验证程序以及连杆驱动程序, 实现了手臂的仿真运动。通过仿真, 不仅更进一步验证了手臂正逆运动学解算的正确性, 而且非常直观地看出手臂末端在空间中运行的路径以及各关节的动作情况。机器人手臂正逆运动学算法正确性的验证及运动仿真为手臂的精确定位及其路径规划提供了必要的保证。     

Reliability-based approach to the inverse kinematics solution of robots using Elman's networks

The solution of inverse kinematics problem of redundant manipulators is a fundamental problem in robot control. The inverse kinematics problem in robotics is the determination of joint angles for a desired cartesian position of the end effector. For the solution of this problem, many traditional solutions such as geometric, iterative and algebraic are inadequate if the joint structure of the manipulator is more complex. Furthermore, many neural network approaches have been done to this problem. But the neural network-based solutions are not much reliable due to the error at the end of learning. Therefore, a reliability-based neural network inverse kinematics solution approach has been presented, and applied to a six-degrees of freedom (dof) robot manipulator in this paper. The structure of the proposed method is based on using three networks designed parallel to minimize the error of the whole system. Elman network, which has a profound impact on the learning capability and performance of the network, is chosen and designed according to the proposed solution method. At the end of parallel implementation, the results of each network are evaluated using direct kinematics equations to obtain the network with best result.     

Kinematic analysis of 3SPS+1PS bionic parallel test platform for hip joint simulator based on unit quaternion

As a novel parallel hip joint simulator, the 3SPS+1PS bionic parallel test platform with 4 degrees of freedom including three rotations and one translation is proposed. SPS denotes the spherical-prismatic-spherical leg and PS denotes the prismatic-spherical leg where only the prismatic joint is actuated and hence underlined. By means of the unit quaternion method, the formulae for solving the inverse/forward displacement, the inverse/forward velocity and the inverse/forward acceleration kinematics are derived. Using the unit quaternion to represent the position and orientation of a moving platform, singularities caused by Euler angles can be avoided. Combining the topological structure characteristics of the 3SPS+1PS bionic parallel test platform and letting the three-dimensional (3-D) motion of a human hip joint as its output movement, the displacement trajectories of three active legs are constructed based on the inverse displacement kinematics. The forward kinematic tests whose data are recorded by a 3-D orientation capture system are carried out on the developed parallel hip joint simulator. Moreover, the results of the forward kinematic tests prove that the 3SPS+1PS bionic parallel test platform can approximately represent human hip joint motion and provide more reliable experimental data for hip joint prostheses in clinical application.     

Position,Jacobian and workspace analysis of a 3-PSP spatial parallel manipulator

This paper investigates the problems of kinematics, Jacobian, singularity and workspace analysis of a spatial type of 3-PSP parallel manipulator. First, structure and motion variables of the robot are addressed. Two operational modes, non-pure translational and coupled mixed-type are considered. Two inverse kinematics solutions, an analytical and a numerical, for the two operational modes are presented. The direct kinematics of the robot is also solved utilizing a new geometrical approach. It is shown, unlike most parallel robots, the direct kinematics problem of this robot has a unique solution. Next, analytical expressions for the velocity and acceleration relations are derived in invariant form. Auxiliary vectors are introduced to eliminate passive velocity and acceleration vectors. The three types of conventional singularities are analyzed. The notion of non-pure rotational and non-pure translational Jacobian matrices is introduced. The non-pure rotational and non-pure translational Jacobian matrices are combined to form the Jacobian of constraint matrix which is then used to obtain the constraint singularity. Finally, two methods, a discretization method and one based on direct kinematics are presented and robot non-pure translation and coupled mixed-type reachable workspaces are obtained. The influence of tool length on workspace is also studied.     

Inverse Kinematics and Workspace Analysis of a 3 DOF Flexible Parallel Humanoid Neck Robot

To mimic the human neck’s three degree-of-freedom (DOF) rotation motion, we present a novel bio-inspired cable driven parallel robot with a flexible spine. Although there exists many parallel robotic platform that can mimic the human neck motion, most of them have only two DOF, with the yaw motion being actuated separately. The presented flexible parallel humanoid neck robot employs a column compression spring as the main body of cervical vertebra and four cables as neck muscles to connect the base and moving platform. The pitch and roll movements of moving platform are realized by the two dimensional lateral bending motion of the flexible spring, and a bearing located at the top of the compression spring and embedded in the moving platform is used to achieve the yaw motion of the moving platform. By combing the force and torque balance equations with the lateral bending statics of the spring, inverse kinematics and optimizing the cable placements to minimize the actuating cable force are investigated. Moreover, the translational workspace corresponding to pitch and roll movements and rotational workspace corresponding to yaw movement are analyzed with positive cable tension constraint. Extensive simulations were performed and demonstrated the feasibility and effectiveness of the proposed inverse kinematics and workspace analysis of the novel 3 DOF flexible parallel humanoid neck robot.     

4-RP(RR)R并联机器人运动仿真

该文给出一个新型的少自由度并联机器人机构4-RP（RR）R的动态仿真。文中对此机构进行了反解分析,确立了此机构运动平台的位置输出与移动副输入及各空间顶点位置的关系。在此基础上,利用Matlab软件模拟出实物动态图,并对利用几何分析法做出的速度曲线、加速度曲线与利用虚设影响系数法求出的速度曲线、加速度曲线进行分析比较,进一步说明了机构本身的运动特性,以及虚设影响系数法对少自由度并联机器人机构4-RP（RR）R求解的正确性。     

Inverse dynamics of the 3-PRR planar parallel robot

Recursive modelling for the kinematics and dynamics of the known 3-PRR planar parallel robot is established in this paper. Three identical planar legs connecting to the moving platform are located in a vertical plane. Knowing the motion of the platform, we develop first the inverse kinematics and determine the positions, velocities and accelerations of the robot. Further, the principle of virtual work is used in the inverse dynamics problem. Several matrix equations offer iterative expressions and graphs for the power requirement comparison of each of three actuators in two different actuation schemes: prismatic actuators and revolute actuators. For the same evolution of the moving platform in the vertical plane, the power distribution upon the three actuators depends on the actuating configuration, but the total power absorbed by the set of three actuators is the same, at any instant, for both driving systems. The study of the dynamics of the parallel mechanisms is done mainly to solve successfully the control of the motion of such robotic systems.     

A Real-Time Kinematics on the Translational Crawl Motion of a Quadruped Robot

It is known that the kinematics of a quadruped robot is complex due to its topology and the redundant actuation in the robot. However, it is fundamental to compute the inverse and direct kinematics for the sophisticated control of the robot in real-time. In this paper, the translational crawl gait of a quadruped robot is introduced and the approach to find the solution of the kinematics for such a crawl motion is proposed. Since the resulting kinematics is simplified, the formulation can be used for the real-time control of the robot. The results of simulation and experiment shows that the present method is feasible and efficient.