In this paper, a novel moving load model for 2D crane systems of which the trolley has two axles is proposed. Based on this model, the dynamics of a 2D gantry crane, which is modelled as a simply supported Euler–Bernoulli beam carrying a two-axle trolley from which a single-pendulum payload is suspended, is studied. The proposed model was verified by comparing with two models in existing papers and can be considered as an extended version of comparative models. Then, the effect of the trolley’s axle base on the dynamic responses of the beam is studied. It can be observed that increasing the length of trolley’s axle base will decrease the deflection of the beam, and a larger initial swing angle will cause a larger deflection of the beam without controlling the swing of the payload.

中文翻译：

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两轴移动小车对龙门起重机梁的动力响应

在本文中，提出了一种新颖的用于二维吊车系统的移动载荷模型，该系统的小车有两个轴。在此模型的基础上，研究了二维龙门起重机的动力学特性，该起重机以简单支撑的Euler–Bernoulli梁承载双轴小车（悬吊单摆有效载荷）为模型。通过与现有论文中的两个模型进行比较，对所提出的模型进行了验证，可以将其视为比较模型的扩展版本。然后，研究了手推车的车轴对梁的动力响应的影响。可以观察到，增加手推车的轴距长度将减小梁的偏转，而较大的初始摆动角将导致梁的较大偏转而不控制有效载荷的摆动。