In this paper, we propose a general approach to compute the dynamic response of periodic infinite structures subjected to a moving load. The method only considers one repetitive block of the structure which is modelled by the Finite Element Method. The problem is first shifted to the frequency domain where the periodicity condition is easily applied and then the temporal response is obtained. An infinite periodic catenary system has been chosen to illustrate the proposed formulation. The linear formulation is extended to include the non-linear behaviour of droppers. The efficiency and accuracy of the catenary model obtained makes it very suitable for use in Hardware in the Loop (HIL) pantograph tests. We propose to combine this catenary model with an iterative strategy to achieve the steady-state response of the coupled system and its performance is analysed in a virtual HIL simulation.

在本文中，我们提出了一种通用方法来计算受到移动载荷的周期性无限结构的动态响应。该方法仅考虑结构的一个重复块，该结构由有限元方法建模。问题首先转移到容易应用周期性条件的频域，然后获得时间响应。已选择无限周期悬链线系统来说明所提出的公式。线性公式被扩展为包括滴管的非线性行为。所获得的悬链线模型的效率和准确性使其非常适合用于硬件在环 (HIL) 受电弓测试。