A Simple Method for Inverse Kinematic Analysis of the General 6R Serial Robot

2006 ◽  
Vol 129 (8) ◽  
pp. 793-798 ◽  
Author(s):  
Shi Zhi Xin ◽  
Luo Yu Feng ◽  
Hang Lu Bing ◽  
Yang Ting Li
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Inverse Kinematic ◽  
New Method ◽  
One Dimension ◽  
Forward Kinematics ◽  
The Real ◽  
Inverse Kinematics Problem ◽  
Serial Robot ◽  
Inverse Kinematic Analysis

The inverse kinematic analysis of the general 6R serial robot has been a very significant and important problem in the theory of the spatial mechanisms. Because the solution to inverse kinematics problem of the general 5R serial robot is unique and its assembly condition has been derived, a simple effective method for inverse kinematics problem of general 6R serial robot or forward kinematics problem of general 7R single-loop mechanism is presented based on a one-dimension searching algorithm. All the real solutions to inverse kinematics problems of the general 6R serial robot or forward kinematics problems of the general 7R single-loop mechanism can be obtained. The new method has the following features: (1) using one-dimension searching algorithm, all the real inverse kinematic solutions are obtained and it has higher computing efficiency; and (2) compared with the algebraic method, it has evidently reduced the difficulty of deducing formulas. The principle of the new method can be generalized to kinematic analysis of parallel mechanisms.

A Simple Method for Inverse Kinematic Analysis of the General 6R Serial Robot

2006 ◽  
Author(s):  
Zhi Xin Shi ◽  
Yu Feng Luo ◽  
Lu Bing Hang ◽  
Ting Li Yang
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Algebraic Method ◽  
Inverse Kinematic ◽  
New Method ◽  
One Dimension ◽  
Parallel Mechanisms ◽  
Simple Method ◽  
Inverse Kinematics Problem ◽  
Serial Robot

Because the solution to inverse kinematics problem of the general 5R serial robot is unique and its assembly condition has been derived, a simple effective method for inverse kinematics problem of general 6R serial robot or forward kinematics problem of general 7R single-loop mechanism is presented based on one-dimension searching algorithm. The new method has the following features: (1) Using one-dimension searching algorithm, all the real inverse kinematic solutions are obtained and it has higher computing efficiency; (2) Compared with algebraic method, it has evidently reduced the difficulty of deducing formulas. The principle of the new method can be generalized to kinematic analysis of parallel mechanisms.

Kinematic Analysis and Digital Mock-up Based Hybrid Verification about the Industrial Robot with Symmetric Dual Planar Four-Bar Mechanism

2012 ◽  
Vol 251 ◽  
pp. 191-195
Author(s):  
Xiao Xi Chen ◽  
Ping He ◽  
Liu Han
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Industrial Robot ◽  
Forward Kinematics ◽  
Kinematic Modeling ◽  
Inverse Kinematics Problem

In this paper, the context of relative kinematic modeling, and the analysis of symmetric dual four-bar mechanism industrial robot are introduced. For such mechanism, its designation of the representative algorithm, and its simplification, simulation, verification and alternately analysis in Forward Kinematics Problems (FKP) and Inverse Kinematics Problem (IKP) were studied. Via such method, it’s possible to efficiently analyze and solve the both of FKP and IKP of symmetric dual planar four-bar mechanism. Thus this method can be applied for the design, simulation and verification for the robot with similar structure.

Kinematics Design for Structures and Algorithms

2012 ◽  
pp. 15-29
Author(s):  
Ding Xilun ◽  
Chen Hao ◽  
Xu Kun
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Quadruped Robot ◽  
Service Robots ◽  
Forward Kinematics ◽  
Inverse Kinematics Problem

The purpose of this chapter is to present the kinematic analysis of service robots using the Product of Exponential (PoE) formula. The forward kinematics problem and inverse kinematics problem are discussed and the Jacobian is obtained too. A model of quadruped robot will be used as an example in corresponding sections in order to facilitate understanding.

scholarly journals Research on kinematic structure of a redundant serial industrial robot arm

2016 ◽  
Vol 19 (3) ◽  
pp. 24-33
Author(s):  
Hung Minh Vu ◽  
Trung Quang Trinh ◽  
Thang Quoc Vo
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Industrial Robot ◽  
Inverse Kinematic ◽  
Kinematic Structure ◽  
Robot Arm ◽  
Revolute Joints ◽  
Prismatic Joints ◽  
Serial Robot ◽  
Inverse Kinematic Analysis

This paper proposes a new kinematic structure of a redundant serial robot arm and presents forward and inverse kinematic analysis. This is a new structure developed based on the robot IRB 2400 of ABB. The new structure consists of six revolute joints and two prismatic joints. The proposed robot arm has only seven degrees of freedom because the structure has a constraint between two revolute joints. Two prismatic joints help to expand workspaces of manipulator from small to very large. The paper describes in details about forward and inverse kinematics. Forward kinematics is derived based on DH Convention while inverse kinematics is calculated based on an objective function to minimize motions of a revolute joint and two prismatic joints. The simulation results on Matlab software indicated that the joint positions and velocities of a redundant serial robot arm matched well the trajectories in Cartesian Space.

Inverse Kinematic Analysis of General 5R Serial Robot Based on Linear Transformation

2000 ◽  
Author(s):  
Lubin Hang ◽  
Qiong Jin ◽  
Tingli Yang
Keyword(s):  
Linear Transformation ◽  
Kinematic Analysis ◽  
Traditional Method ◽  
Polynomial Equation ◽  
Inverse Kinematic ◽  
Transformation Theory ◽  
Serial Robots ◽  
Serial Robot ◽  
Inverse Kinematic Analysis ◽  
General Method

Abstract Based on the linear transformation theory, a general method for inverse kinematic analysis of 5R serial robots is proposed in this paper. Using this method, a polynomial equation, which contains only one variable and no extraneous roots, can be derived from 3 original kinematic equations, whereas the traditional method needs 4 equations. The assembly condition of 5R manipulator (5R loop) and its application in kinematic analysis are discussed. This assembly condition is very useful for finding 6R manipulator’s real configuration.

Inverse Kinematic Analysis of Three Link Mechanism for Fin Actuation of Fish Like Micro Device

2015 ◽  
Vol 24 ◽  
pp. 77-81 ◽  
Author(s):  
Mazhar Ul Haq ◽  
Zhao Gang ◽  
Fazl E. Ahad ◽  
Anees Ur Rehman ◽  
Muhammad Hussain
Keyword(s):  
Kinematic Analysis ◽  
Inverse Kinematic ◽  
Design Verification ◽  
Simulation Tools ◽  
Analysis And Design ◽  
Link Mechanism ◽  
Inverse Kinematic Analysis ◽  
Verification Process ◽  
Process Computer ◽  
Functional Prototype

In this paper, inverse kinematic analysis of a proposed three link mechanism of a bio-inspired micro scanning device towed underwater by a surface vessel to actuate its aileron fins for its depth control and for its stabilization against roll is performed. Mechanism is actuated by IPMC actuators. To speed up the design verification process, computer aided simulations are used to perform motion analysis of the proposed IPMC actuated mechanism through Pro/Mechanism tool. Inverse kinematic analysis is performed to find out the joint variables of the mechanism to realize fin actuation along desired path. Displacements, velocities and accelerations of the links constructing mechanism are found out to establish their interrelationship. Results are analysed for the study of mechanism efficacy and for sizing the IPMC actuators. This paper contributes to introduce a new approach of virtual prototyping using advanced simulation tools for analysis and design verification of IPMC actuated mechanisms for biomimetic applications before moving into functional prototype stage.

Inverse Kinematic Solution of Robot Manipulators Using Interval Analysis

1998 ◽  
Vol 120 (1) ◽  
pp. 147-150 ◽  
Author(s):  
R. S. Rao ◽  
A. Asaithambi ◽  
S. K. Agrawal
Keyword(s):  
Computational Complexity ◽  
Numerical Algorithm ◽  
Interval Analysis ◽  
Inverse Kinematics ◽  
Inverse Kinematic ◽  
Real Numbers ◽  
Computational Mathematics ◽  
All Solutions ◽  
Inverse Kinematics Problem ◽  
Kinematic Solution

Interval analysis is a growing branch of computational mathematics where operations are carried out on intervals instead of real numbers. This paper presents the first application of this method to robotic mechanisms for the solution of inverse kinematics. As shown in this paper, it is possible to potentially compute all solutions of the inverse kinematics problem using this method. This paper describes the preliminaries of interval analysis, the numerical algorithm, the computational complexity, and illustrations with examples.

Sign in / Sign up

Export Citation Format

Share Document