Mechanical Design and Kinematic Analysis of a Three-Legged Six Degree-of-Freedom Parallel Manipulator

1992 ◽  
Author(s):  
D. Zlatanov ◽  
M. Q. Dai ◽  
R. G. Fenton ◽  
B. Benhabib
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Mechanical Design ◽  
Closed Form Solution ◽  
Form Solution ◽  
Forward Kinematics ◽  
Spherical Joint ◽  
Revolute Joints ◽  
Forward And Inverse Kinematics ◽  
Six Degree Of Freedom

Abstract In this paper a three-legged 6-dof platform-type parallel manipulator is described. Each of the legs is a serial subchain with three revolute joints connected to the output platform via a spherical joint. Due to the proposed asymmetrical 3-2-1 distribution of the controlled joints, a closed-form solution exists to the forward kinematics problem. The mechanical design of the manipulator has been developed. The forward and inverse kinematics as well as the instantaneous kinematics of the mechanism have been solved analytically.

scholarly journals A Parallel Manipulator With Only Translational Degrees of Freedom

1996 ◽  
Author(s):  
Lung-Wen Tsai ◽  
Richard Stamper
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Translational Motion ◽  
Forward Kinematics ◽  
Closed Form Solutions ◽  
Real Solutions ◽  
Revolute Joints ◽  
Inverse Kinematics Problem ◽  
Three Degree Of Freedom

Abstract This paper presents a novel three degree of freedom parallel manipulator that employs only revolute joints and constrains the manipulator output to translational motion. Closed-form solutions are developed for both the inverse and forward kinematics. It is shown that the inverse kinematics problem has up to four real solutions, and the forward kinematics problem has up to 16 real solutions.

scholarly journals A Closed-Form Solution for the Inverse Kinematics of the 2n-DOF Hyper-Redundant Manipulator Based on General Spherical Joint

2021 ◽  
Vol 11 (3) ◽  
pp. 1277
Author(s):  
Ya’nan Lou ◽  
Pengkun Quan ◽  
Haoyu Lin ◽  
Dongbo Wei ◽  
Shichun Di
Keyword(s):  
Closed Form ◽  
Inverse Kinematics ◽  
Closed Form Solution ◽  
Form Solution ◽  
Spherical Joint ◽  
Redundant Manipulator ◽  
Spherical Wrist ◽  
Joint Section ◽  
Novel Concept ◽  
Universal Joints

This paper presents a closed-form inverse kinematics solution for the 2n-degree of freedom (DOF) hyper-redundant serial manipulator with n identical universal joints (UJs). The proposed algorithm is based on a novel concept named as general spherical joint (GSJ). In this work, these universal joints are modeled as general spherical joints through introducing a virtual revolution between two adjacent universal joints. This virtual revolution acts as the third revolute DOF of the general spherical joint. Remarkably, the proposed general spherical joint can also realize the decoupling of position and orientation just as the spherical wrist. Further, based on this, the universal joint angles can be solved if all of the positions of the general spherical joints are known. The position of a general spherical joint can be determined by using three distances between this unknown general spherical joint and another three known ones. Finally, a closed-form solution for the whole manipulator is solved by applying the inverse kinematics of single general spherical joint section using these positions. Simulations are developed to verify the validity of the proposed closed-form inverse kinematics model.

New continuum surgical robot based on hybrid concentric tube-tendon driven mechanism

2021 ◽  
pp. 095440622110424
Author(s):  
Mohammed Abdel-Nasser ◽  
Omar Salah
Keyword(s):  
Inverse Kinematics ◽  
High Performance ◽  
Analytical Study ◽  
Fuzzy Inference ◽  
Closed Form Solution ◽  
Form Solution ◽  
Robot Arm ◽  
Inference System ◽  
Neuro Fuzzy ◽  
Intelligent Approach

Robotics technology is used widely in minimally invasive surgery (MIS) which provides high performance and accuracy. The most famous robot arm mechanisms, which are used in MIS, are tendon-driven mechanism (TDM), and concentric tube mechanism (CTM). Unfortunately, these mechanisms until now have some limitations, i.e. making friction with the tissue during extracting and retracting and strain limits, for TDM and CTM respectively. A new hybrid concentric tube-tendon driven mechanism (HCTDM) is proposed to overcome these limitations. HCTDM enables the end-effector to get close to and get away from the surgical area during the operation without harming the tissue and with more flexibility. In addition to that, the workspace increases as a result of this combination, too. This benefit serves MIS, especially endoscopic surgeries (ESs). We did an analytical study of this idea and got the forward kinematics. In the inverse kinematics, an intelligent approach which is called an adaptive neuro-fuzzy inference system (ANFIS) is used because the closed-form solution is more complicated for such these mechanisms. Finally, HCTDM is analyzed and evaluated by using a computer simulation. The simulation results show that the workspace becomes wider and has more dexterity than use TDM or CTM individually. Furthermore, various trajectories are used to test the mechanism and the kinematic analysis, which show the mechanism can follow and track the trajectories with maximum mean error 1.279, 0.7027, and [Formula: see text] for X, Y, and Z axes respectively.

Analysis of the Kinematics of an Eight-Wheeled Mobile Platform

2013 ◽  
Vol 198 ◽  
pp. 67-72
Author(s):  
Marek Stania
Keyword(s):  
Inverse Kinematics ◽  
Object Motion ◽  
Forward Kinematics ◽  
Contact Phenomenon ◽  
Kinematics Model ◽  
Inverse Kinematics Problem ◽  
Transport Vehicle ◽  
Forward And Inverse Kinematics ◽  
Motion Parameters ◽  
Simulation Results

This paper presents the modeling problem connected with the autonomous transport vehicle designed at Hochschule Ravensburg-Weingarten. The forward and inverse kinematics problem of eight-wheeled autonomous transport vehicle have been formulated and solved, additionally examples of simulation results representing the changes of individual motion parameters have been presented. Contact phenomenon between foundation and drive wheel has been taken into account in the kinematics model. Motion trajectory and velocity of the selected point belonging to the platform have been intended while the inverse kinematics problem has been solved. The forward kinematics problem has been worked out in order to verify correctness of the studied kinematics model. The presented simulation results point out compatibility of the worked out kinematics model of investigated object. The worked out models allow carrying out analysis of object motion through simulation investigations on the basis of proposed computational model.

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.

Development of a new buffing robot manipulator for shoes

Robotica ◽  
2008 ◽  
Vol 26 (1) ◽  
pp. 55-62 ◽  
Author(s):  
Hyeung-Sik Choi ◽  
Gyu-Deuk Hwang ◽  
Sam-Sang You
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Robot Manipulator ◽  
Closed Form Solution ◽  
Electronic System ◽  
Form Solution ◽  
Graphic User Interface ◽  
Test Results ◽  
C Language ◽  
Communication Program

SUMMARYThis paper presents analysis and experimental verifications of a new robot manipulator with five degrees of freedom developed for the buffing operation of shoes. First, the forward and inverse kinematics are analyzed. Next, an analytic closed-form solution is rigorously derived for the joint angles corresponding to the position and orientation of the end-effector in Cartesian coordinates. A control system, including input/output interfaces and the related electronic system, is designed for the control of the mechanical structure of the buffing robot. Then, peripheral systems integrated with the conveyer, transfer device, and fixture device are designed for the sequential buffing process of shoes. Also, a graphic user interface (GUI) program including the forward/inverse kinematics, control algorithm, and communication program to interact the robot with the peripheral systems is developed by using visual C++ language. A new flexible toolholder (FTH) is proposed to compensate for the excessive applied force between deburring tools and shoes. Finally, the test results are provided to demonstrate the effectiveness of the proposed scheme.

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