Efficient Curvature-optimized G2-continuous Path Generation with Guaranteed Error Bound for 3-axis Machining

Author(s):  
Jevgenija Selinger ◽  
Lars Linsen
CIRP Annals ◽  
1985 ◽  
Vol 34 (1) ◽  
pp. 511-514 ◽  
Author(s):  
Y. Mizugaki ◽  
H. Hiraoka ◽  
F. Kimura ◽  
T. Sata

Robotica ◽  
1989 ◽  
Vol 7 (4) ◽  
pp. 297-302 ◽  
Author(s):  
I. Troch

SUMMARYThe problem of constructing a smooth path with respect to time through N given points in configuration space is considered. Two variants of an algorithm suggested by Paul are presented and evaluated. It is shown that the algorithms suggested in this paper yield in general considerable improvements in two respects: Firstly, the deviation of the resulting path from the given points is reduced markedly and secondly, the overall time needed for the movement is reduced significantly and consequently, is closer to the true minimum-time. The price to be paid for these improvements is a moderate increase of computation time allowing still online use of the algorithm.


Author(s):  
Hong Zhou ◽  
Thomas Castillo

Regular nonadjustable four-bar linkages can only generate the desired continuous paths approximately. The whole desired continuous path can be generated precisely by an adjustable four-bar linkage with the one-degree-of-freedom adjustment of the pivot location of the driven side link. In this paper, an adjustment R joint is used to adjust the pivot location of the driven side link in the four-bar linkage. A closed-loop 5R linkage is formed by the adjustable four-bar linkage. The linkage feasibility conditions and path generation flexibilities of the adjustable four-bar linkages are analyzed. The synthesis model of the adjustable four-bar linkages is set up based on the required optimal adjustment of the pivot location when the desired continuous path is precisely generated. The global optimal solution is searched by a genetic algorithm in which the involved constraints are handled using the function penalty method. The effectiveness of the synthesis approach proposed in the paper is verified by two demonstrated examples.


Author(s):  
Hong Zhou ◽  
Mohammed Jamal ◽  
Arif Mohammed

Conventional nonadjustable four-bar linkages can only generate the desired continuous paths approximately. With one link length adjustment, the whole desired continuous path can be generated precisely. In this paper, the length of the driven side link or coupler is adjusted to generate the desired continuous paths precisely. The linkage feasibility conditions and path generation flexibilities of the adjustable four-bar linkages are analyzed. The optimal synthesis model of adjustable four-bar linkages is established based on the required optimal link length adjustment when the desired continuous path is precisely generated. The global optimal solution is searched by a real-valued genetic algorithm in which the involved constraints are handled using the function penalty method. The effectiveness of the optimal synthesis approach proposed in the paper is verified by the demonstrated examples.


2010 ◽  
Vol 42 (4) ◽  
pp. 350-359 ◽  
Author(s):  
Takashi Maekawa ◽  
Tetsuya Noda ◽  
Shigefumi Tamura ◽  
Tomonori Ozaki ◽  
Ken-ichiro Machida

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