Kinematic Analysis of Skew Cardanic Motion and the Skew Swinging-Block Linkage

1994 ◽  
Author(s):  
F. Freudenstein ◽  
E. J. F. Primrose ◽  
Hong-Jen Chen
Keyword(s):  
Algebraic Geometry ◽  
Closed Form ◽  
Kinematic Analysis ◽  
Three Dimensional ◽  
Planar Mechanisms ◽  
Crank Mechanism

Abstract The classical cardanic motion and the swinging-block linkage are basic planar mechanisms. In the following investigation, the objective is the analysis of their three-dimensional (and, hence, more versatile) counterparts: the skew slider-crank mechanism and the skew swinging-block linkage. These linkages as far as we are aware, have not yet been analyzed analytically. An analysis utilizing their algebraic geometry will be instructive in determining their displacements and derivatives in closed form. This, in turn, should be useful in facilitating three-dimensional applications. With the ever-increasing sophistication in the area of mechanisms design and analysis, we believe that the time has come for the analysis of these linkages, including their algebraic geometry. This is the objective of this investigation.

An Automated Inversion Apporach to Closed-Form Kinematic Analysis of Planar Mechanisms

1992 ◽  
Author(s):  
Arunava Biswas ◽  
Gary L. Kinzel
Keyword(s):  
Closed Form ◽  
Iterative Methods ◽  
Kinematic Analysis ◽  
Equation Approach ◽  
Planar Mechanisms ◽  
Loop Equation ◽  
Closed Form Solutions

Abstract In this paper an inversion approach is developed for the analysis of planar mechanisms using closed-form equations. The vector loop equation approach is used, and the occurrence matrices of the variables in the position equations are obtained. After the loop equations are formed, dependency checking of the unknowns is performed to determine if it is possible to solve for any two equations in two unknowns. For the cases where the closed-form solutions cannot be implemented directly, possible inversions of the mechanism are studied. If the vector loop equations for an inversion can be solved in closed-form, they are identified and solved, and the solutions are transformed back to the original linkage. The method developed in this paper eliminates the uncertainties involved, and the large number of computations required in solving the equations by iterative methods.

Kinematic Analysis of a Compliant Microplatform

2008 ◽  
Author(s):  
Julio Correa ◽  
Carl Crane ◽  
Huikai Xie
Keyword(s):  
Kinematic Analysis ◽  
Microelectromechanical Systems ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Planar Mechanisms ◽  
Central Platform ◽  
Bimorph Actuators ◽  
Three Dimensional Space

Mechanisms formed by rigid elements are not suitable for applications at the microlevel due to manufacturing limitations. For the same reason, devices for microelectromechanical systems (MEMS) are basically planar mechanisms. This paper addresses a microplatform able to move in the three dimensional space. It is formed by bimorph actuators connected to the central platform by compliant elements. The forward and reverse analyses for the microplatform are presented.

Simulation Analysis of Pneumatic on-off Pressure Mechanism on Printing Press

2010 ◽  
Vol 154-155 ◽  
pp. 1481-1484 ◽  
Author(s):  
Jun Zhong Guo ◽  
Jun Ping Yang
Keyword(s):  
Kinematic Analysis ◽  
Simulation Analysis ◽  
Angular Displacement ◽  
Three Dimensional ◽  
Printing Press ◽  
Work Demand ◽  
Analysis Process ◽  
Adams Software ◽  
Important Basis

The on-off pressure mechanism has an important function to the printing press, the quality of which concerns the working performance of the printing machine and the quality of printed products directly. In this paper, the pneumatic on-off pressure mechanism is discussed; the work demand of order on-off pressure is analyzed. In addition, the three-dimensional digital model and the kinematic analysis process can be achieved on the basis of ADAMS software. What’s more, the on pressure value in the process of on pressure is derived from the kinematic analysis. Lastly, the relation between the motion of on-off pressure mechanism and cylinder’s angular displacement is analyzed, an important basis to the on-off pressure mechanism’s optimal design will be provided.

Solutions to the Vector Tetrahedron Equation

1965 ◽  
Vol 87 (2) ◽  
pp. 228-234 ◽  
Author(s):  
Milton A. Chace
Keyword(s):  
Closed Form ◽  
Digital Computer ◽  
Three Dimensional ◽  
Dimensional Vector ◽  
Spherical Coordinates ◽  
Tetrahedron Equation ◽  
Position Determination ◽  
Closed Form Solutions

A set of nine closed-form solutions are presented to the single, three-dimensional vector tetrahedron equation, sum of vectors equals zero. The set represents all possible combinations of unknown spherical coordinates among the vectors, assuming the coordinates are functionally independent. Optimum use is made of symmetry. The solutions are interpretable and can be evaluated reliably by digital computer in milliseconds. They have been successfully applied to position determination of many three-dimensional mechanisms.

Online three-dimensional SLAM by registration of large planar surface segments and closed-form pose-graph relaxation

2010 ◽  
Vol 27 (1) ◽  
pp. 52-84 ◽  
Author(s):  
Kaustubh Pathak ◽  
Andreas Birk ◽  
Narunas Vaskevicius ◽  
Max Pfingsthorn ◽  
Sören Schwertfeger ◽  
...  
Keyword(s):  
Closed Form ◽  
Three Dimensional ◽  
Planar Surface
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