Research on bogus higher pair and lower pair replacing higher pair of planar mechanism

2014 ◽  
Author(s):  
Zhining Jia ◽  
Caizhe Hao ◽  
Guoyong Wang
Keyword(s):  
Planar Mechanism ◽  
Lower Pair

The Research on Variety of Instantaneous Transmission-Ratio of Gear Pump with Circular-Arc Tooth Profile

2012 ◽  
Vol 562-564 ◽  
pp. 587-590
Author(s):  
You Chen Zhang
Keyword(s):  
Tooth Profile ◽  
Transmission Ratio ◽  
Gear Pump ◽  
Circular Arc ◽  
Planar Mechanism ◽  
Basic Law ◽  
Lower Pair ◽  
The Difference

According to basic law of tooth profile meshing and principle of higher pair to be replaced with lower pair of planar mechanism, the calculating formula which is used for calculation of transmission ratio of gear pump with circular-arc tooth profile is obtained. The calculating results indicate that stability of transmission ratio of gear pump are very effected by the difference between concave arc radius of tooth profile of pinion and convex arc radius of tooth profile of wheel gear. The smaller the difference of radiuses, the more severe the wave of velocity while meshing.

scholarly journals Graphical shapes of the 2ndtype singularities of a 3-RR̠R planar mechanism

2016 ◽  
Vol 147 ◽  
pp. 012085
Author(s):  
F Buium ◽  
C Duca ◽  
I Doroftei ◽  
D Leohchi
Keyword(s):  
Planar Mechanism

scholarly journals Numbering method for the kinematic chain isomorphism recognition of a planar mechanism

2021 ◽  
Vol 1983 (1) ◽  
pp. 012028
Author(s):  
Qing Tian ◽  
Xiaohui Wei ◽  
Cai Li ◽  
Ge Liu ◽  
Yumei Deng
Keyword(s):  
Kinematic Chain ◽  
Planar Mechanism

A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices

1955 ◽  
Vol 22 (2) ◽  
pp. 215-221
Author(s):  
J. Denavit ◽  
R. S. Hartenberg
Keyword(s):  
Matrix Algebra ◽  
Symbolic Notation ◽  
Lower Pair ◽  
Space Mechanisms ◽  
Kinematic Properties

Abstract A symbolic notation devised by Reuleaux to describe mechanisms did not recognize the necessary number of variables needed for complete description. A reconsideration of the problem leads to a symbolic notation which permits the complete description of the kinematic properties of all lower-pair mechanisms by means of equations. The symbolic notation also yields a method for studying lower-pair mechanisms by means of matrix algebra; two examples of application to space mechanisms are given.

A Dyad Search Algorithm for Solving Planar Linkages Using the Dyad Method

1992 ◽  
Author(s):  
Lofti Romdhane
Keyword(s):  
Search Algorithm ◽  
Class Ii ◽  
Graph Representation ◽  
Step Size ◽  
Lower Pair ◽  
Fast Solution ◽  
Complete Automation ◽  
Newton Raphson ◽  
Dyad Analysis ◽  
Planar Linkages

Abstract Based on graph representation of planar linkages, a new algorithm was developed to identify the different dyads of a mechanism. A dyad or class II group, is composed of two binary links connected by either a revolute (1) or a slider (0) pair with provision for attachment to other links by lower pair connectors located at the end of each link. There are five types of dyads: the D111, D101, D011, D001, and D010. The dyad analysis of a mechanism is predicated on the ability to construct the system from one or more of the five binary structure groups or class II groups. If the mechanism is complicated and several dyads are involved, the task of identifying these dyads by inspection could be difficult and time consuming for the user. This algorithm allows a complete automation of this task. This algorithm is based on the Dijkstra’s algorithm, for finding the shortest path in a graph, and it is used to develop a computer program, called KAMEL: Kinematic Analysis of MEchanical Linkages, and implemented on an IBM-PC PS/2 model 80. When compared to algorithmic methods, like the Newton-Raphson, the dyad method proved to be a very efficient one and requires as little as one tenth of the time needed by the method using Newton-Raphson algorithm. Moreover, the dyad method yields the exact solution of the position analysis and no initial estimates are needed to start the analysis. This method is also insensitive to the value of the step-size crank rotation, therefore, allowing a very accurate and fast solution of the mechanism at any position of the input link.

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