Kinematics Analysis of a Hot-Line Live Working Manipulator

2014 ◽  
Vol 610 ◽  
pp. 28-34 ◽  
Author(s):  
Xiao Lin Ma ◽  
Hui Chai ◽  
Yun Jiang Li
Keyword(s):  
Analytical Solutions ◽  
Inverse Kinematics ◽  
Transformation Method ◽  
Forward Kinematics ◽  
Euler Angles ◽  
Kinematics Analysis ◽  
Hydraulic Actuator ◽  
End Effector

This paper introduces the development of hot-line live working manipulators and gives a new configuration manipulator driven by hydraulic actuator firstly. Then, its forward kinematics equations are derived with homogenous transformation method. Finally, the analytical solutions of its inverse kinematics are solved under the condition that the posture of the end-effector is known and given with z-y-z Euler angles.

scholarly journals Kinematics Analysis of 5 DOF Robotic Arm

2020 ◽  
Vol 38 (3A) ◽  
pp. 412-422
Author(s):  
Tahseen F. Abaas ◽  
Ali A. Khleif ◽  
Mohanad Q. Abbood
Keyword(s):  
Inverse Kinematics ◽  
Jacobian Matrix ◽  
Maximum Error ◽  
Robotic Arm ◽  
Forward Kinematics ◽  
Algebraic Solution ◽  
Kinematics Analysis ◽  
End Effector ◽  
Position And Orientation

This paper presents the forward, inverse, and velocity kinematics analysis of a 5 DOF robotic arm. The Denavit-Hartenberg (DH) parameters are used to determination of the forward kinematics while an algebraic solution is used in the inverse kinematics solution to determine the position and orientation of the end effector. Jacobian matrix is used to calculate the velocity kinematics of the robotic arm. The movement of the robotic arm is accomplished using the microcontroller (Arduino Mega2560), which controlling on five servomotors of the robotic arm joints and one servo of the gripper. The position and orientation of the end effector are calculated using MATLAB software depending on the DH parameters. The results indicated the shoulder joint is more effect on the velocity of the robotic arm from the other joints, and the maximum error in the position of the end-effector occurred with the z-axis and minimum error with the y-axis.

scholarly journals Computing The Kinematics Study of a 6 DOF Industrial Manipulator Prototype By Matlab

2021 ◽  
Vol 7 (1.) ◽  
Author(s):  
Alaa Saadah
Keyword(s):  
Mathematical Model ◽  
Inverse Kinematics ◽  
Forward Kinematics ◽  
Euler Angles ◽  
Final Position ◽  
End Effector ◽  
Mechanical Parts ◽  
Industrial Manipulator ◽  
Forward And Inverse Kinematics ◽  
The Mathematical Model

Since the mechanical parts in the robot are designed to do the movement, studying and analyzing the motion considered a primary issue that should be taken into consider when studying and designing the robot. In this research 6-DOF sample of the industrial manipulator based on ABB IRB 4400 model had been studied. The mathematical model of manipulator is established by DH (Denavait Hartenberg) method. The forward kinematics was done using DH Parameters in order to get the final transformation matrix. The inverse kinematics was done using geometrical and analytical methods in order to get the end effector final position and direction by calculate Euler angles values. Finally, the forward and inverse kinematics equations were computing by MATLAB to get angles, end effector, position, direction and Euler angles values. The kinematics study and the arm movement’s equations were compered with the practical measurements to make sure it fulfills the desired purpose.     

scholarly journals Mechanical Design and Kinematics Analysis of a Hydraulically Actuated Manipulator

2014 ◽  
Vol 8 (1) ◽  
pp. 457-461
Author(s):  
Xuewen Rong ◽  
Rui Song ◽  
Hui Chai ◽  
Xiaolin Ma
Keyword(s):  
Inverse Kinematics ◽  
Mechanical Design ◽  
Transformation Method ◽  
Inverse Kinematic ◽  
Kinematics Analysis ◽  
End Effector ◽  
Hydraulically Actuated ◽  
Inverse Solutions ◽  
Six Dof ◽  
Forward Kinematic

This paper gives a mechanism design of a six DOF hydraulically actuated manipulator firstly. Then its DH frames and link parameters are given. Next, its forward kinematic equations are derived according to homogeneous transformation method. Fourthly, the analytical solutions of its inverse kinematics are solved by given the position and posture of the end-effector simultaneously. The posture of the end-effector is given with three z-y-z Euler angles for they have obvious geometry meanings and are easy to be measured. In addition, the correctness of the inverse kinematic equations is verified in Simulink by comparing many sets of randomly produced joint variables in workspace and their corresponding inverse solutions.

Parametric Design of a Spherical Eight-Bar Linkage Based on a Spherical Parallel Manipulator

2008 ◽  
Vol 1 (1) ◽  
Author(s):  
Gim Song Soh ◽  
J. Michael McCarthy
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Parametric Design ◽  
Degree Of Freedom ◽  
Kinematics Analysis ◽  
End Effector ◽  
Arbitrary Base ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

This paper presents a procedure that determines the dimensions of two constraining links to be added to a three degree-of-freedom spherical parallel manipulator so that it becomes a one degree-of-freedom spherical (8, 10) eight-bar linkage that guides its end-effector through five task poses. The dimensions of the spherical parallel manipulator are unconstrained, which provides the freedom to specify arbitrary base attachment points as well as the opportunity to shape the overall movement of the linkage. Inverse kinematics analysis of the spherical parallel manipulator provides a set of relative poses between all of the links, which are used to formulate the synthesis equations for spherical RR chains connecting any two of these links. The analysis of the resulting spherical eight-bar linkage verifies the movement of the system.

Analyses of Error and Precision of 6-DOF Platform

2012 ◽  
Vol 591-593 ◽  
pp. 2081-2086 ◽  
Author(s):  
Rui Ren ◽  
Chang Chun Ye ◽  
Guo Bin Fan
Keyword(s):  
Inverse Kinematics ◽  
Newton Iteration ◽  
Forward Kinematics ◽  
Parallel Mechanisms ◽  
End Effector ◽  
C Programming Language ◽  
C Programming ◽  
Manufacturing Tolerances ◽  
Parallel Robotics ◽  
Forward Kinematic

A particular subset of 6-DOF parallel mechanisms is known as Stewart platforms (or hexapod). Stewart platform characteristic analyzed in this paper is the effect of small errors within its elements (strut lengths, joint placement) which can be caused by manufacturing tolerances or setting up errors or other even unknown sources to end effector. The biggest kinematics problem is parallel robotics which is the forward kinematics. On the basis of forward kinematic of 6-DOF platform, the algorithm model was built by Newton iteration, several computer programs were written in the MATLAB and Visual C++ programming language. The model is effective and real-time approved by forwards kinematics, inverse kinematics iteration and practical experiment. Analyzing the resource of error, get some related spectra map, top plat position and posture error corresponding every error resource respectively. By researching and comparing the error spectra map, some general results is concluded.

Inverse Kinematics of Discretely-Actuated Manipulators Within a Bounded Grid Element

2006 ◽  
Author(s):  
Deanne C. Kemeny ◽  
Raymond J. Cipra
Keyword(s):  
Inverse Kinematics ◽  
Lower Cost ◽  
Robotic Manipulators ◽  
Forward Kinematics ◽  
End Effector ◽  
Grid Element ◽  
The Third ◽  
Inverse Kinematics Problem

Discretely-actuated manipulators are defined in this paper as serial planar chains of many links and are an alternative to traditional robotic manipulators, where continuously variable actuators are replaced with discrete, or digital actuators. Benefits include reduced weight and complexity, and predictable manipulation at lower cost. Challenges to using digital manipulators are the discrete end-effector positions which make the inverse kinematics problem difficult to solve. Furthermore, for a specific application position in the manipulator workspace, there may not be an actual end-effector position. This research has relaxed the inverse kinematics problem around this challenge making each application position an element of a grid in which the end effector must reach. There may be many possible end-effector positions that would reach the element goal, the solution uses the first one that is found. The inverse kinematics solution assumes the assembly configuration of the digital manipulator is already solved specifically for the application grid. The Jacobian function, normally used to solve joint velocities, can be used to identify the exact shift vectors that are used for the inverse kinematics. Three methods to solve this problem are discussed and the third method was implemented as a four-part solution that is a directed and manipulated search for the inverse kinematics solution where all four solutions may be needed. A discussion of forward kinematics and the Jacobian function in relation to digital manipulators is also presented.

Kinematics Analysis and Simulation of the Power-on-Live Manipulator

2014 ◽  
Vol 709 ◽  
pp. 316-322
Author(s):  
Xu Dong ◽  
Zhong Cai Zheng ◽  
Yan Gao ◽  
Zhen Ting Jiang ◽  
Hai Yong Xiao
Keyword(s):  
Numerical Simulation ◽  
Dynamic Simulation ◽  
Hydraulic System ◽  
Inverse Kinematics ◽  
Simulation Software ◽  
Forward Kinematics ◽  
Kinematics Analysis ◽  
Six Dof ◽  
Forward And Inverse Kinematics

The Power-On-Live Manipulator with hydraulic system can complete many different repair works in the Substation. This paper focuses on the study of the kinematics of six DOF manipulator, and establishes the forward kinematics equation based on the analysis of the whole power-on-live manipulator. The methods of analytical and geometric are used to complete the power-on-live manipulator’s inverse kinematics calculations, and then the effectiveness of the power-on-live manipulator’s forward and inverse kinematics are verified by the numerical simulation software and the dynamic simulation software.

Design and Analysis of a Biomimetic Wire-Driven Robot Arm

2011 ◽  
Author(s):  
Zheng Li ◽  
Ruxu Du ◽  
Man Cheong Lei ◽  
Song Mei Yuan
Keyword(s):  
Inverse Kinematics ◽  
Geometric Analysis ◽  
Forward Kinematics ◽  
Positioning Error ◽  
Robot Arm ◽  
End Effector ◽  
Fixed Node

Inspired by the octopus and snakes, we designed and built a wire-driven serpentine robot arm. The robot arm is made of a number of rigid nodes connected by two sets of wires. The rigid nodes act as the backbone while the wires work as the muscle, which enables the 2 DOF bending. The forward kinematics is derived using D-H method, while the inverse kinematics and its workspace can be solved by geometric analysis. To validate the design, a prototype is built. It is found that the positioning error of the robot arm is generally less than 2%. The advantage of this robot arm is that with several nodes fixed the rest nodes are still controllable. The positioning error is smaller when the fixed node is closer to the end effector.

Kinematic and Kinetostatic Analysis of Parallel Manipulators with Emphasis on Position, Motion, and Actuation Singularities

Robotica ◽  
2018 ◽  
Vol 37 (4) ◽  
pp. 599-625 ◽  
Author(s):  
M. Kemal Ozgoren
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulators ◽  
Singularity Analysis ◽  
The Other ◽  
Forward Kinematics ◽  
Velocity Mapping ◽  
Active Joint ◽  
End Effector ◽  
Jacobian Matrices ◽  
Other Hand

SummaryThis paper provides a contribution to the singularity analysis of the parallel manipulators by introducing the position singularities in addition to the motion and actuation singularities. The motion singularities are associated with the linear velocity mapping between the task and joint spaces. So, they are the singularities of the relevant Jacobian matrices. On the other hand, the position singularities are associated with the nonlinear position mapping between the task and joint spaces. So, they are encountered in the position-level solutions of the forward and inverse kinematics problems. In other words, they come out irrespective of the velocity mapping and the Jacobian matrices. Considering these distinctions, a kinematic singularity is denoted here by one of the four acronyms, which are PSFK (position singularity of forward kinematics), PSIK (position singularity of inverse kinematics), MSFK (motion singularity of forward kinematics), and MSIK (motion singularity of inverse kinematics). There may also occur an actuation singularity (ACTS) concerning the kinetostatic relationships that involve forces and moments. However, it is verified that an ACTS is the same as an MSFK. Each singularity induces different consequences in the joint and task spaces. A PSFK imposes a constraint on the active joint variables and makes the end-effector position indefinite and uncontrollable. Therefore, it must be avoided. An MSFK imposes a constraint on the rates of the active joint variables and makes the end-effector motion indefinite and easily perturbable. Besides, since it is also an ACTS, it causes the actuator torques or forces to grow without bound. Therefore, it must also be avoided. On the other hand, a PSIK imposes a constraint on the end-effector position but provides freedom for the active joint variables. Similarly, an MSIK imposes a constraint on the end-effector motion but provides freedom for the rates of the active joint variables. A PSIK or MSIK need not be avoided if the constraint it imposes on the position or motion of the end-effector is acceptable or if the task can be planned to be compatible with that constraint. Besides, with such a compatible task, a PSIK or MSIK may even be advantageous, because the freedom it provides for the active joint variables can sometimes be used for a secondary purpose. This paper is also concerned with the multiplicities of forward kinematics in the assembly modes of the manipulator and the multiplicities of inverse kinematics in the posture modes of the legs. It is shown that the assembly mode changing poses of the manipulator are the same as the MSFK poses, and the posture mode changing poses of the legs are the same as the MSIK poses.

Kinematics Analysis for a 4-DOF Palletizing Robot Manipulator

2013 ◽  
Vol 313-314 ◽  
pp. 937-940 ◽  
Author(s):  
Yong Guo Zhao ◽  
Yong Fei Xiao ◽  
Tie Chen
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Robot Manipulator ◽  
Forward Kinematics ◽  
Kinematics Analysis

In order to meet theneeds of high-speedpalletizing inlogistics automation industry, a 4 d4-DOF palletizingrobot manipulatorwas designed. Inthis paper,focusing on kinematic analysis, forward kinematics modeland inverse kinematics were introduced in detail.

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