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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

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 1,   Pages 115-124 doi: 10.1007/s11465-005-0022-7

Abstract:

This study presents a solution for the inverse kinematics problem in serial 6R manipulator.angles identical equations instead of the traditional 14 equations, the authors reduced the inverse kinematics

Keywords： identical     manipulator     univariate polynomial     mechanism     traditional    

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Analysis of the kinematic characteristics of a high-speed parallel robot with Schönflies motion: Mobility, kinematics, and singularity

Fugui XIE,Xin-Jun LIU

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 2,   Pages 135-143 doi: 10.1007/s11465-016-0389-7

Abstract: Subsequently, the inverse kinematics is derived, and the singularity issue of the robot is investigatedThe mobility analysis, inverse kinematics modeling, and singularity analysis conducted in this study

Keywords： parallel robot     mobility     inverse kinematics     singularity     transmission performance    

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Inverse kinematics analysis and numerical control experiment for PRS-XY style hybrid machining tool

JIA Dongyong, ZHANG Jianmin, SUN Hongchang, NIU Zhigang

Frontiers of Mechanical Engineering 2007, Volume 2, Issue 2,   Pages 235-238 doi: 10.1007/s11465-007-0041-7

Abstract: This paper analyzed the inverse kinematics for the new Parallel rotate slider- axes (PRS-) style hybridmachining tool and educed the five axes linkage inverse kinematics transform formula on the basis ofThe results of the experiments prove that the inverse kinematics transform formula is correct.

Keywords： numerical     accordance     transform formula     virtual     slider-    

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Motion capability analysis of a quadruped robot as a parallel manipulator

Jingjun YU,Dengfeng LU,Zhongxiang ZHANG,Xu PEI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4,   Pages 295-307 doi: 10.1007/s11465-014-0317-7

Abstract:

This paper presents the forward and inverse displacement analysis of a quadruped robot MANA as a parallelFor this purpose, the leg kinematics is primarily analyzed, which lays the foundation on the gait planningin terms of locomotion and body kinematics analysis as a parallel manipulator.The inverse and forward displacement analysis of the parallel manipulator is carried out using the method

Keywords： quadruped robot     actuated joints selection     kinematics analysis     motion planning     parallel manipulator    

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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

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 2,   Pages 183-193 doi: 10.1007/s11465-006-0010-6

Abstract: By series rotational transformation, the kinematics model and inverse kinematics model are deduced.Based on the research, the kinematics graphic simulation of spherical gear mechanism and disk rack areThe results prove correctness of the kinematics model.

Keywords： rotational transformation     orientation     Furthermore     conjugate     number    

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Ahybrid biogeography-based optimization method for the inverse kinematics problem of an 8-DOF redundant

Zi-wu REN,Zhen-hua WANG,Li-ning SUN

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 7,   Pages 607-616 doi: 10.1631/FITEE.14a0335

Abstract: of multiple degrees of freedom and complex joint structure, and it is not easy to obtain its inverse kinematicsThe inverse kinematics problem of a humanoid manipulator can be formulated as an equivalent minimization) is a new biogeography inspired optimization algorithm, and it can be adopted to solve the inverse kinematicsThe proposed HBBO algorithm has been used to solve the inverse kinematics problem of the 8-DOF redundant

Keywords： Inverse kinematics problem     8-DOF humanoid manipulator     Biogeography-based optimization (BBO)     Differential    

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Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion

Po-Chih LEE, Jyh-Jone LEE

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 2,   Pages 163-187 doi: 10.1007/s11465-012-0324-5

Abstract:

This paper presents the analysis of three parallel manipulators with Schoenflies-motion.

Keywords： parallel manipulator     schoenflies motion     kinematics     singularity     workspace     performance index    

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A comprehensive analysis of a 3-P (Pa) S spatial parallel manipulator

Yuzhe LIU,Liping WANG,Jun WU,Jinsong WANG

Frontiers of Mechanical Engineering 2015, Volume 10, Issue 1,   Pages 7-19 doi: 10.1007/s11465-015-0324-3

Abstract: Secondly, the kinematics model of this spatial PKM is set up.The comprehensive kinematics analysis in this paper is greatly useful for the future applications of

Keywords： parallel mechanism     concomitant motions     kinematics     workspaces     error model    

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Drive system design and error analysis of the 6 degrees of freedom segment erector of shield tunneling

Hu SHI, Guofang GONG, Huayong YANG

Frontiers of Mechanical Engineering 2011, Volume 6, Issue 3,   Pages 369-376 doi: 10.1007/s11465-011-0223-1

Abstract: developed with 6 degrees of freedom (DOF) and controlled by electro-hydraulic proportional systems, the kinematicsThe perturbation method in the error analysis is introduced to establish the position and attitude errorThe calculation results verify the practicality and effectiveness of the error analysis, providing a

Keywords： shield tunneling machine     segment erector     kinematics     position and attitude precision    

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Kinematic, workspace and singularity analysis of a new parallel robot used in minimally invasive surgery

Alin STOICA, Doina PISLA, Szilaghyi ANDRAS, Bogdan GHERMAN, Bela-Zoltan GYURKA, Nicolae PLITEA

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 1,   Pages 70-79 doi: 10.1007/s11465-013-0365-4

Abstract:

In the last ten years, due to development in robotic assisted surgery, the minimally invasive surgery has greatly changed. Until now, the vast majority of robots used in surgery, have serial structures. Due to the orientation parallel module, the structure is able to reduce the pressure exerted on the entrance point in the patient’s abdominal wall. The parallel robot can also handle both a laparoscope as well an active instrument for different surgical procedures. The advantage of this parallel structure is that the geometric model has been obtained through an analytical approach. The kinematic modelling of a new parallel architecture, the inverse and direct geometric model and the inverse and direct kinematic models for velocities and accelerations are being determined. The paper will demonstrate that with this parallel structure, one can obtain the necessary workspace required for a minimally invasive operation. The robot workspace was generated using the inverse geometric model. An in-depth study of different types of singularity is performed, allowing the development of safe control algorithms of the experimental model. Some kinematic simulation results and the experimental model of the robot are presented in the paper.

Keywords： parallel robot     minimally invasive surgery     kinematics     simulation    

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General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 2, doi: 10.1007/s11465-022-0681-7

Abstract: The inverse kinematics problems of robots are usually decomposed into several Paden–Kahan subproblemsHowever, the simple combination of subproblems cannot solve all the inverse kinematics problems, andThe novel algebraic geometric (NAG) methods that obtain the general closed-form inverse kinematics forThe inverse kinematics simulations of all three-joint subproblems are implemented, and simulation resultsThe results verify the proposed general closed-form inverse kinematics based on the NAG methods.

Keywords： inverse kinematics     Paden–Kahan subproblems     three-joint subproblems     product of exponential     closed-form    

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Fast forward kinematics algorithm for real-time and high-precision control of the 3-RPS parallel mechanism

Yue WANG, Jingjun YU, Xu PEI

Frontiers of Mechanical Engineering 2018, Volume 13, Issue 3,   Pages 368-375 doi: 10.1007/s11465-018-0519-5

Abstract:

A new forward kinematics algorithm for the mechanism of 3-RPS (R: Revolute; P: Prismatic; S: SphericalThis novel forward kinematics algorithm is well suited for real-time and high-precision control of the

Keywords： 3-RPS parallel mechanism     forward kinematics     numerical algorithm     parasitic motion    

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Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 1,   Pages 91-96 doi: 10.1007/s11465-008-0013-6

Abstract: For reconfigurable robots, the automatic generation of inverse kinematics is a key problem, because suchIn this paper, the screw and product-of-exponentials (POE) formula are used to model the kinematics ofA generalized, decomposable, and reusable approach for close-form inverse kinematics of reconfigurable

Keywords： different     effectiveness     generation     reconfigurable     algebraic    

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An Improved BP Algorithm Applying to Inverse Kinematics Problems of Robot Manipulator

Wu Aiguo,Hao Runsheng

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 34-38

Abstract: The multilayer forward neural networks are used to establish the inverse kinematics models for robotThe simulations demonstrate that the proposed method is effective, and improves the inverse kinematics

Keywords： neural networks     BP algorithm     active function     robot manipulator     inverse kinematics    

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Oscillation frequency of simplified arterial tubes

Hui AN, Fan HE, Lingxia XING, Xiaoyang LI

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 3,   Pages 300-304 doi: 10.1007/s11465-009-0038-5

Abstract: The theoretical analysis is first presented and the finite element method is then used to numericallysimulate the spatial kinematics.obtained exact analytical solutions agree well with numerical solutions, which proves that the theoretical analysis

Keywords： spatial kinematics     natural frequency     finite element method    

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Title Author Date Type Operation

Inverse Kinematics Analysis of General 6R Serial Robot Mechanism Based on Groebner Base

WANG Yan, HANG Lu-bin, YANG Ting-li

Journal Article

Analysis of the kinematic characteristics of a high-speed parallel robot with Schönflies motion: Mobility, kinematics, and singularity

Fugui XIE,Xin-Jun LIU

Journal Article

Inverse kinematics analysis and numerical control experiment for PRS-XY style hybrid machining tool

JIA Dongyong, ZHANG Jianmin, SUN Hongchang, NIU Zhigang

Journal Article

Motion capability analysis of a quadruped robot as a parallel manipulator

Jingjun YU,Dengfeng LU,Zhongxiang ZHANG,Xu PEI

Journal Article

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

Journal Article

Ahybrid biogeography-based optimization method for the inverse kinematics problem of an 8-DOF redundant

Zi-wu REN,Zhen-hua WANG,Li-ning SUN

Journal Article

Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion

Po-Chih LEE, Jyh-Jone LEE

Journal Article

A comprehensive analysis of a 3-P (Pa) S spatial parallel manipulator

Yuzhe LIU,Liping WANG,Jun WU,Jinsong WANG

Journal Article

Drive system design and error analysis of the 6 degrees of freedom segment erector of shield tunneling

Hu SHI, Guofang GONG, Huayong YANG

Journal Article

Kinematic, workspace and singularity analysis of a new parallel robot used in minimally invasive surgery

Alin STOICA, Doina PISLA, Szilaghyi ANDRAS, Bogdan GHERMAN, Bela-Zoltan GYURKA, Nicolae PLITEA

Journal Article

General closed-form inverse kinematics for arbitrary three-joint subproblems based on the product of

Journal Article

Fast forward kinematics algorithm for real-time and high-precision control of the 3-RPS parallel mechanism

Yue WANG, Jingjun YU, Xu PEI

Journal Article

Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Journal Article

An Improved BP Algorithm Applying to Inverse Kinematics Problems of Robot Manipulator

Wu Aiguo,Hao Runsheng

Journal Article

Oscillation frequency of simplified arterial tubes

Hui AN, Fan HE, Lingxia XING, Xiaoyang LI

Journal Article