冲击荷载下双参数粘弹性地基矩形板的振动分析

Dynamic Analysis of Rectangular Plates on Two-parameter Viscoelastic Foundation under Impact Load

机场刚性道面是通过具有一定传荷能力的接缝,达到共同工作的目的,基于此建立了冲击荷载作用下双参数粘弹性地基上四边弹性嵌固矩形板的新型力学模型。利用变分原理、Laplace变换和互等功定理求解了该系统的位移解析解,计算了弹性地基和粘弹性地基上有限矩形板的动力响应,探讨了地基参数和弹性嵌固边界刚性系数对板的动态响应的影响。得到了冲击荷载下双参数粘弹性地基矩形板系统参数影响的动力特性规律。该研究结果可为路面结构的动力响应分析、板厚设计、参数识别和质量评价等提供理论依据。

Rigid pavement of airport consists of many cement concrete plates jointed by many joints which can transfer load. Based on this, a new mechanical model, which shows the four joints of the rectangular plates＇ edges as elastic boundary embeddings on two-parameter viscoelasticity foundation under impact load, was established. By using variational principle, Laplace transformation and the reciprocal theorem of work, the displacement analytic solution of the system was achieved. Based on the analytical solution, the dynamic responses of finite rectangle plates on elastic foundation and viscoelastic foundation were performed to investigate the effects of various foundation parameters and the rigidity coefficient of elastic boundary embedding supports on dynamic responses of plates. The dynamic characteristics rules of the parameters influence of rectangle plate system on two-parameter viscoelasticity foundation under impact load were obtained. It can provide valuable theoretical foundation for dynamic analysis of pavement engineering, design of plate thickness, parameters identification and roadway evaluation.