ABSTRACT

The dynamic response of a multilayer finite plate resting on a two-parameter viscoelastic foundation to moving variable loads is obtained analytically/numerically. The governing differential equation of a multi-layer finite plate resting on a two-parameter viscoelastic foundation is derived firstly. Then, the dynamic response is derived analytically using mode superposition and Duhamel’s formula, followed by the solving of the numerical method. Next, the proposed solution is verified by comparing the degraded solution with both the field measurement data and the known theoretical results. Three different loading models are assessed to select the loading model that would provide insight into the effects of acceleration and deceleration. The effects of foundation parameters and vehicle parameters, especially the acceleration or deceleration and initial velocity of the moving load, on the dynamic response of the multilayer plate are compared through parametric studies. The numerical results suggest that acceleration and deceleration exert considerable effects on the dynamic response of the plate, and that the stiffness of pavement exposed to frequent acceleration and deceleration should be increased by at least 15% to counteract the effects of variable speed.

摘要

以解析/数值方式获得基于二参数粘弹性基础的多层有限板对移动可变载荷的动态响应。首先推导了基于二参数粘弹性地基的多层有限板的控制微分方程。然后，利用模态叠加和Duhamel公式解析推导动态响应，然后用数值方法求解。接下来，通过将退化的解决方案与现场测量数据和已知的理论结果进行比较来验证所提出的解决方案。评估了三种不同的加载模型，以选择可以深入了解加速和减速影响的加载模型。基础参数和车辆参数的影响，特别是运动载荷的加减速和初速度对多层板的动态响应进行了参数化研究。数值结果表明，加速和减速对板的动力响应有相当大的影响，频繁加速和减速的路面刚度应增加至少15%，以抵消变速的影响。