Planar Four-Bar Function Generation

2013 ◽  
pp. 117-136
Author(s):  
Kevin Russell ◽  
Qiong Shen ◽  
Raj S. Sodhi
Keyword(s):  
2009 ◽  
Author(s):  
Emőke Imre ◽  
János Lőrincz ◽  
Masami Nakagawa ◽  
Stefan Luding

Author(s):  
Xinsheng Hu ◽  
Ji Zhou ◽  
Jun Yu ◽  
Baochang Shi ◽  
Zhijian Zong

Abstract A new algorithm for solving optimal linkage function generation is proposed. The algorithm is simple in form, easily used and has much reliability and accuracy than any other algorithms reported on linkage synthesis. The existing standard software of unconstrained differential optimization can directly be used in it. Numerical experiments indicate the effectiveness of the new algorithm.


Author(s):  
K. Farhang ◽  
A. Midha ◽  
A. S. Hall

Abstract This paper, a sequel to a companion paper on function generation, discusses the path and motion generation problems in the synthesis of linages with relatively small input cranks. The point on the floating link (i.e., the coupler of a crank-rocker linkage point on connecting rod in a slider-crank linkage) traces an approximate ellipse. This fact serves as a major distinction between the method described herein and the conventional, more general, synthesis techniques. In other words, only elliptical paths may be generated by the path (or coupler) points in the synthesis of linkages with small cranks. Higher order path and motion generation, in which velocity, acceleration, slope and the rate of change of slope of the coupler path may be specified, are also addressed in this paper.


Author(s):  
A. K. Dhingra ◽  
M. Zhang

Abstract This paper presents complete solutions to the function generation problem of six-link Watt and Stephenson mechanisms, with multiply separated precision positions (PP), using homotopy methods with m-homogenization. It is seen that using the matrix method for synthesis, applying m-homogeneous group theory and by defining auxiliary equations in addition to the synthesis equations, the number of homotopy paths to be tracked in obtaining all possible solutions to the synthesis problem can be drastically reduced. Numerical work dealing with the synthesis of Watt and Stephenson mechanisms for 6 and 9 multiply separated precision points is presented. For both mechanisms, it is seen that complete solutions for 6 and 9 precision points can be obtained by tracking 640 and 286,720 paths, respectively. A parallel implementation of homotopy methods on the Connection Machine on which several thousand homotopy paths can be tracked concurrently is also discussed.


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