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Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base
WANG Yan, HANG Lu-bin, YANG Ting-li
《机械工程前沿(英文)》 2006年 第1卷 第1期 页码 115-124 doi: 10.1007/s11465-005-0022-7
This study presents a solution for the inverse kinematics problem in serial 6R manipulator. Using only seven equations composed of Duffy s four kinematical equations containing three angles and three corresponding angles identical equations instead of the traditional 14 equations, the authors reduced the inverse kinematics problem in the general 6R manipulator to a univariate polynomial with a minimum degree based on the Groebner Base method. From that, they concluded that the maximum number of the solutions is 16, generally. Also, the mathematics mechanization method can be extended to solve other mechanism problems involving nonlinear equations symbolically.
关键词: identical manipulator univariate polynomial mechanism traditional
Zi-wu REN,Zhen-hua WANG,Li-ning SUN
《信息与电子工程前沿(英文)》 2015年 第16卷 第7期 页码 607-616 doi: 10.1631/FITEE.14a0335
关键词: Inverse kinematics problem 8-DOF humanoid manipulator Biogeography-based optimization (BBO) Differential evolution (DE)
Fugui XIE,Xin-Jun LIU
《机械工程前沿(英文)》 2016年 第11卷 第2期 页码 135-143 doi: 10.1007/s11465-016-0389-7
This study introduces a high-speed parallel robot with Schönflies motion. This robot exhibits a promising prospect in realizing high-speed pick-and-place manipulation for packaging production lines. The robot has four identical limbs and a single platform. Its compact structure and single-platform concept provides this robot with good dynamic response potential. A line graph method based on Grassmann line geometry is used to investigate the mobility characteristics of the proposed robot. A generalized Blanding rule is also introduced into this procedure to realize mutual conversion between the line graphs for motions and constraints. Subsequently, the inverse kinematics is derived, and the singularity issue of the robot is investigated using both qualitative and quantitative approaches. Input and output transmission singularity indices are defined based on the reciprocal product in screw theory and the virtual coefficient by considering motion/force transmission performance. Thereafter, the singular loci of the proposed robot with specific geometric parameters are derived. The mobility analysis, inverse kinematics modeling, and singularity analysis conducted in this study are helpful in developing the robot.
关键词: parallel robot mobility inverse kinematics singularity transmission performance
General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of
《机械工程前沿(英文)》 2022年 第17卷 第2期 doi: 10.1007/s11465-022-0681-7
关键词: inverse kinematics Paden–Kahan subproblems three-joint subproblems product of exponential closed-form solution
Yue WANG, Jingjun YU, Xu PEI
《机械工程前沿(英文)》 2018年 第13卷 第3期 页码 368-375 doi: 10.1007/s11465-018-0519-5
A new forward kinematics algorithm for the mechanism of 3-RPS (R: Revolute; P: Prismatic; S: Spherical) parallel manipulators is proposed in this study. This algorithm is primarily based on the special geometric conditions of the 3-RPS parallel mechanism, and it eliminates the errors produced by parasitic motions to improve and ensure accuracy. Specifically, the errors can be less than 10-6 . In this method, only the group of solutions that is consistent with the actual situation of the platform is obtained rapidly. This algorithm substantially improves calculation efficiency because the selected initial values are reasonable, and all the formulas in the calculation are analytical. This novel forward kinematics algorithm is well suited for real-time and high-precision control of the 3-RPS parallel mechanism.
关键词: 3-RPS parallel mechanism forward kinematics numerical algorithm parasitic motion
Generation of closed-form inverse kinematics for reconfigurable robots
ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao
《机械工程前沿(英文)》 2008年 第3卷 第1期 页码 91-96 doi: 10.1007/s11465-008-0013-6
关键词: different effectiveness generation reconfigurable algebraic
Inverse kinematics analysis and numerical control experiment for PRS-XY style hybrid machining tool
JIA Dongyong, ZHANG Jianmin, SUN Hongchang, NIU Zhigang
《机械工程前沿(英文)》 2007年 第2卷 第2期 页码 235-238 doi: 10.1007/s11465-007-0041-7
Oscillation frequency of simplified arterial tubes
Hui AN, Fan HE, Lingxia XING, Xiaoyang LI
《机械工程前沿(英文)》 2009年 第4卷 第3期 页码 300-304 doi: 10.1007/s11465-009-0038-5
关键词: spatial kinematics natural frequency finite element method
Research on transmission principle and kinematics analysis for involute spherical gear
PAN Cun-yun, WEN Xi-sen, YANG Kun-yu, XU Xiao-jun, LIU Min, YAO Qi-shui
《机械工程前沿(英文)》 2006年 第1卷 第2期 页码 183-193 doi: 10.1007/s11465-006-0010-6
关键词: rotational transformation orientation Furthermore conjugate number
State-of-the-art on theories and applications of cable-driven parallel robots
《机械工程前沿(英文)》 2022年 第17卷 第3期 doi: 10.1007/s11465-022-0693-3
关键词: cable-driven parallel robot kinematics optimization dynamics control
Motion capability analysis of a quadruped robot as a parallel manipulator
Jingjun YU,Dengfeng LU,Zhongxiang ZHANG,Xu PEI
《机械工程前沿(英文)》 2014年 第9卷 第4期 页码 295-307 doi: 10.1007/s11465-014-0317-7
This paper presents the forward and inverse displacement analysis of a quadruped robot MANA as a parallel manipulator in quadruple stance phase, which is used to obtain the workspace and control the motion of the body. The robot MANA designed on the basis of the structure of quadruped mammal is able to not only walk and turn in the uneven terrain, but also accomplish various manipulating tasks as a parallel manipulator in quadruple stance phase. The latter will be the focus of this paper, however. For this purpose, the leg kinematics is primarily analyzed, which lays the foundation on the gait planning in terms of locomotion and body kinematics analysis as a parallel manipulator. When all four feet of the robot contact on the ground, by assuming there is no slipping at the feet, each contacting point is treated as a passive spherical joint and the kinematic model of parallel manipulator is established. The method for choosing six non-redundant actuated joints for the parallel manipulator from all twelve optional joints is elaborated. The inverse and forward displacement analysis of the parallel manipulator is carried out using the method of coordinate transformation. Finally, based on the inverse and forward kinematic model, two issues on obtaining the reachable workspace of parallel manipulator and planning the motion of the body are implemented and verified by ADAMS simulation.
关键词: quadruped robot actuated joints selection kinematics analysis motion planning parallel manipulator
《机械工程前沿(英文)》 2022年 第17卷 第1期 页码 3-3 doi: 10.1007/s11465-021-0659-x
关键词: ultrasound image guidance prostate percutaneous intervention parallel robot kinematics identification particle swarm optimization informative value
Stiffness of a 3-degree of freedom translational parallel kinematic machine
null
《机械工程前沿(英文)》 2014年 第9卷 第3期 页码 233-241 doi: 10.1007/s11465-014-0312-z
In this paper, a typical 3-degree of freedom (3-DOF) translational parallel kinematic machine (PKM) is studied and analyzed whose tool platform has only translations along X-, Y- and Z-axes. It consists of three limbs, each of which have arm and forearm with prismatic-revolute-revolute-revolute (PRRR) joints. Inverse kinematics analysis is carried out to find the slider coordinates and joint angles for a given position of tool platform. Stiffness modeling is done based on the compliance matrices of arm and forearm of each limb. Using the stiffness modeling the variations of minimum and maximum translational stiffness in the workspace are analyzed. For various architectural parameters of the 3-DOF PKM the tendency of variations on the minimum and maximum stiffness over the entire workspace is studied; and also the deflections of the tool platform along X, Y, and Z directions with respect to various forces are presented.
关键词: 3-DOF translational PKM inverse kinematics stiffness modeling translational stiffness
Kinematical synthesis of an inversion of the double linked fourbar for morphing wing applications
J. AGUIRREBEITIA, R. AVILéS, I. FERNáNDEZ, M. ABASOLO
《机械工程前沿(英文)》 2013年 第8卷 第1期 页码 17-32 doi: 10.1007/s11465-013-0364-5
This paper presents the kinematical features of an inversion of the double linked fourbar for morphing wing purposes. The structure of the mechanism is obtained using structural synthesis concepts, from an initial conceptual schematic. Then, kinematic characteristics as instant center of rotation, lock positions, dead point positions and uncertainty positions are derived for this mechanism in order to face the last step, the dimensional synthesis; in this sense, two kinds of dimensional synthesis are arranged to guide the wing along two positions, and to fulfill with the second one some aerodynamic and minimum actuation energy related issues.
关键词: morphing wing structural synthesis dimensional synthesis geometrical kinematics
标题 作者 时间 类型 操作
Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base
WANG Yan, HANG Lu-bin, YANG Ting-li
期刊论文
Ahybrid biogeography-based optimization method for the inverse kinematics problem of an 8-DOF redundant
Zi-wu REN,Zhen-hua WANG,Li-ning SUN
期刊论文
Analysis of the kinematic characteristics of a high-speed parallel robot with Schönflies motion: Mobility, kinematics
Fugui XIE,Xin-Jun LIU
期刊论文
General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of
期刊论文
Fast forward kinematics algorithm for real-time and high-precision control of the 3-RPS parallel mechanism
Yue WANG, Jingjun YU, Xu PEI
期刊论文
Generation of closed-form inverse kinematics for reconfigurable robots
ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao
期刊论文
Inverse kinematics analysis and numerical control experiment for PRS-XY style hybrid machining tool
JIA Dongyong, ZHANG Jianmin, SUN Hongchang, NIU Zhigang
期刊论文
Research on transmission principle and kinematics analysis for involute spherical gear
PAN Cun-yun, WEN Xi-sen, YANG Kun-yu, XU Xiao-jun, LIU Min, YAO Qi-shui
期刊论文
Motion capability analysis of a quadruped robot as a parallel manipulator
Jingjun YU,Dengfeng LU,Zhongxiang ZHANG,Xu PEI
期刊论文
Ultrasound-guided prostate percutaneous intervention robot system and calibration by informative particle swarm optimization
期刊论文