Closure to “Discussion of ‘Mechanism Link Rotatability and Limit Position Analysis Using Polynomial Discriminants’” (1987, ASME J. Mech. Transm. Autom. Des., 109, p. 182)

1987 ◽  
Vol 109 (2) ◽  
pp. 182-182
Author(s):  
R. L. Williams ◽  
C. F. Reinholtz
Keyword(s):  
Position Analysis ◽  
Limit Position

Mechanism Link Rotatability and Limit Position Analysis Using Polynomial Discriminants

1987 ◽  
Vol 109 (2) ◽  
pp. 178-182 ◽  
Author(s):  
R. L. Williams ◽  
C. F. Reinholtz
Keyword(s):  
Degree Of Freedom ◽  
Single Degree Of Freedom ◽  
Position Analysis ◽  
Numerical Example ◽  
Single Degree ◽  
Spatial Mechanisms ◽  
Limit Position

A theory is proposed for algebraically determining the limit positions of single-degree-of-freedom mechanisms. The absence of limit positions indicates that the link being considered is a fully rotating crank. This theory is applied in the present paper to the RSSR and RRSS spatial mechanisms. Conditions for spatial mechanisms analogous to Grashof’s law should be attainable using this theory. A numerical example is given to illustrate the theory.

scholarly journals Doublel-robot coordination workspace Analysis based on Matlab

2018 ◽  
Vol 232 ◽  
pp. 03057
Author(s):  
Wei Wang ◽  
Yong Xu
Keyword(s):  
Boundary Surface ◽  
Value Theory ◽  
Working Space ◽  
The Monte Carlo Method ◽  
Workspace Analysis ◽  
Solution Equation ◽  
Space Boundary ◽  
Robot Cooperation ◽  
Limit Position ◽  
Cooperation System

Aiming at the requirements of dual robot collaborative operation, a dual robot cooperation system model is established in SolidWorks2012 software to study the dual robot cooperation space. The D-H parameters are established, and the kinematics positive solution equation is obtained. The dual robot cooperative kinematics model is given. Based on the Monte Carlo method, the workspace of the dual robot is solved. The extreme value theory method is used to analyze and calculate, so as to extract the precise boundary contour of the common area of the dual robot workspace, and the collaborative space boundary surface and limit position of the dual robot are determined. The optimal coordinated working space of the dual robot end effector is obtained, which lays a theoretical foundation for the coordinated trajectory planning of the dual robot.

A Mathematical Principle and Application on Design of Planar Six-Bar Mechanism with unto Three-Ordered Intermission at Limit Position(s)

2010 ◽  
Vol 37-38 ◽  
pp. 9-13
Author(s):  
Hong Xin Wang ◽  
Ning Dai
Keyword(s):  
Design Method ◽  
Optimization Method ◽  
Basic Function ◽  
Mathematical Principle ◽  
Transmission Characteristics ◽  
Basic Functions ◽  
Combined Mechanism ◽  
Limit Position ◽  
Derivatives Of ◽  
Better Than

A non-iterative design method about high order intermittent mechanisms is presented. The mathematical principle is that a compound function produced by two basic functions, and then one to three order derivatives of the compound function are all zeroes when one order derivative of each basic function is zero at the same moment. The design method is that a combined mechanism is constructed by six bars; the displacement functions of the front four-bar and back four-bar mechanisms are separately built, let one order derivatives of two displacement functions separately be zero at the same moment, and then get geometrical relationships and solution on the intermittent mechanism. A design example shows that this method is simpler and transmission characteristics are better than optimization method.

scholarly journals Contact position analysis of deep brain stimulation electrodes on post-operative CT images

2009 ◽  
Vol 151 (7) ◽  
pp. 823-829 ◽  
Author(s):  
Simone Hemm ◽  
Jérôme Coste ◽  
Jean Gabrillargues ◽  
Lemlih Ouchchane ◽  
Laurent Sarry ◽  
...  
Keyword(s):  
Deep Brain Stimulation ◽  
Brain Stimulation ◽  
Ct Images ◽  
Position Analysis ◽  
Contact Position ◽  
Deep Brain
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