The vibration of a plate resting on elastic foundations under a moving load is of great significance in the design of many engineering fields, such as the vehicle-pavement system and the aircraft-runway system. Pavements or runways are always laminated structures. The Galerkin truncation method is widely used in the research of vibration. The number of truncation terms directly affects the convergence and accuracy of the response results. However, the selection of the number of truncation terms has not been clearly stated. A nonlinear viscoelastic foundation model under a moving load is established. Based on the natural frequency of linear undisturbed derivative systems, the truncation terms are used to determine the convergence of vibration response. The criterion for the convergence of the Galerkin truncation term is presented. The scheme is related to the natural frequency with high efficiency and practicability. Through the dynamic response of the sandwich beam under a moving load, the feasibility of the scheme is verified. The effects of different system parameters on the scheme and the truncation convergence of dynamic response are presented. The research in this paper can be used as a reference for the study of the vibration of elastic foundation plates. Especially, the model established and the truncation analysis method proposed are helpful for studying the vibration of vehicle-pavement system and related systems.

在移动载荷下，置于弹性基础上的板的振动在许多工程领域的设计中具有重要意义，例如车辆路面系统和飞机跑道系统。路面或跑道始终是层压结构。Galerkin截断法被广泛用于振动研究。截断项的数量直接影响响应结果的收敛性和准确性。但是，没有明确说明截断项的数量的选择。建立了移动荷载作用下的非线性粘弹性地基模型。基于线性无扰动导数系统的固有频率，截断项用于确定振动响应的收敛性。提出了Galerkin截断项收敛的判据。该方案与自然频率相关，具有较高的效率和实用性。通过移动荷载作用下夹层梁的动力响应，验证了该方案的可行性。给出了不同系统参数对方案的影响以及动态响应的截断收敛。本文的研究可为弹性基础板振动研究提供参考。特别是，建立的模型和提出的截断分析方法有助于研究车辆-路面系统及相关系统的振动。给出了不同系统参数对方案的影响以及动态响应的截断收敛。本文的研究可为弹性基础板振动研究提供参考。特别是，建立的模型和提出的截断分析方法有助于研究车辆-路面系统及相关系统的振动。给出了不同系统参数对方案的影响以及动态响应的截断收敛。本文的研究可为弹性基础板振动研究提供参考。特别是，建立的模型和提出的截断分析方法有助于研究车辆-路面系统及相关系统的振动。