Optimization Design of Non-circular Curve Track of Crane Turning Based on Four Times Bezier Curve

doi:10.3901/JME.2020.19.253

Abstract

Abstract: In order to solve the problems of rail gnawing and jamming in the turning of rail crane, a non-circular curve scheme of the crane based on Bezier curve is proposed. In the scheme, the fourth Bezier curve is chosen as the turning curve of the inner rail. According to the single wheel and multi-wheel 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, and the optimal parameters of Bezier curve are searched by the multi-start point heuristic global optimization algorithm, and the outer orbit 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 non-circular Bezier curve is used as the turning track compared with the traditional circular turning track. In addition, it is also analyzed that the deviation will increase with the increase of the base distance and the gauge distance, and decrease with the increase of the radius of the arc inner rail and the angle between the straight track. In addition, the curvature radius of non-circular quadruple Bezier curve track is calculated and compared with the curvature radius of single-wheeled and two-wheeled trolleys when they are stuck on circular track, which verifies the actual passability of the crane's turning. Finally, ADAMS is used to carry out dynamic simulation experiment and demonstrate the calculation.

Key words: rail crane, Bezier curve, deviation vector, global optimization algorithm, curvature radius, dynamic simulation

CLC Number:

TH213

LIANG Gang, WU Zhangjie, YU Weikun. Optimization Design of Non-circular Curve Track of Crane Turning Based on Four Times Bezier Curve[J]. Journal of Mechanical Engineering, 2020, 56(19): 253-264.

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