Rail Optimization of Noncircular Curve of Crane Turning Based on Quasiquartic Bezier Curve with Three Shape Parameters
Joint Authors
Liang, Gang
Wu, Zhangjie
Yu, Weikun
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-29
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In order to solve the problems of rail gnawing and jamming during turning of rail crane, a noncircular curve scheme of the crane based on Bezier curve is proposed.
In the scheme, the quasiquartic Bezier curve with three shape parameters is chosen as the turning curve of the inner rail.
According to the single-wheel and multiwheel situation of the crane, the tracks of the front and rear points on the outer side are calculated through the geometric relationship of the traveling mechanism of the crane cart.
Taking the minimum deviation of the front and back points as the objective function of optimization, the optimal parameters of Bezier curve are searched by the multistart point heuristic global optimization algorithm, and the outer rail trajectory is fitted by Hermite interpolation.
The calculation results show that the maximum deviation of the front and rear points on the outside of the crane during the turning process decreases significantly when the quartic Bezier curve is used as the turning track compared with the traditional circular turning track.
When the quasiquartic Bezier curve with three shape parameters is used as the inner rail, the deviation can be further reduced by adjusting the three parameters.
In addition, it is also analyzed the specific influence of turning parameters on the deviation.
Finally, ADAMS is used to carry out dynamic simulation experiment and demonstrate the calculation.
American Psychological Association (APA)
Liang, Gang& Wu, Zhangjie& Yu, Weikun. 2020. Rail Optimization of Noncircular Curve of Crane Turning Based on Quasiquartic Bezier Curve with Three Shape Parameters. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1194652
Modern Language Association (MLA)
Liang, Gang…[et al.]. Rail Optimization of Noncircular Curve of Crane Turning Based on Quasiquartic Bezier Curve with Three Shape Parameters. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1194652
American Medical Association (AMA)
Liang, Gang& Wu, Zhangjie& Yu, Weikun. Rail Optimization of Noncircular Curve of Crane Turning Based on Quasiquartic Bezier Curve with Three Shape Parameters. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1194652
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194652