This article aims to firstly introduce a computational approach, named multi-layer moving plate method (MMPM), to dynamic analysis of viscoelastically connected infinitely long double-plate systems subjected to moving loads. The Reissner-Mindlin plate theory is utilized to describe the displacement field through the thickness of each plate, whilst quadratic serendipity shape functions are employed to represent unknown fields in finite element analyses (FEAs). The governing equations of motion of connected double-plate system are established in a moving coordinate system attached to the moving load. As a consequence, the paradigm can absolutely eradicate the update process of force vector since the applied load is taken into account as “stationary” in its coordinate system. First, several numerical examples for static, free vibration and dynamic analyses are exhibited to verify the accuracy of the proposed MMPM. Then, the influences of various parameters such as load’s velocity, damping coefficient, stiffness coefficient, and plate thickness on the dynamic responses of double-plate system are examined in great detail.

本文旨在首先介绍一种称为多层移动板法（MMPM）的计算方法，以对承受移动载荷的粘弹性无限长双板系统进行动力分析。Reissner-Mindlin板理论用于描述通过每个板的厚度的位移场，而二次偶然形状函数则用于表示有限元分析（FEA）中的未知场。在附加到运动载荷的运动坐标系中建立了连接的双板系统的运动控制方程。结果，该范式可以完全消除力矢量的更新过程，因为所施加的载荷在其坐标系中被视为“固定”的。首先，几个静态的数值示例 展示了自由振动和动态分析，以验证提出的MMPM的准确性。然后，详细研究了载荷速度，阻尼系数，刚度系数和板厚等各种参数对双板系统动力响应的影响。