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

Civil Engineering

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