双参数地基矩形板在运动荷载下的动力响应分析

Dynamic response of rectangular plate on two-parameter foundation to moving load

为评价道路及机场等结构在运动荷载下的动态响应,研究了粘弹性双参数地基上矩形板在受到运动常值荷载和运动谐和荷载作用下的动态响应问题,得到了问题的解析解,并求得了板的固有频率和临界速度.深入分析了荷载速度、频率及地基参数等对动态变形影响规律.研究表明,地基剪切模量、荷载运动速度和频率等对板的动态响应影响显著.

In order to evaluate the response of pavement under moving load, dynamic response of rectangular plates on viscous Pasternak foundation subjected to constant amplitude or moving harmonic loads is investigated, and the analytical solution is obtained. Natural frequency and critical speed are gained. The response to a moving constant load is first investigated and then the effects of velocity and foundation shear modulus are studied. The response under a moving harmonic load with constant velocity is finally treated and the effect of the load frequency is investigated. Results indicate that the foundation shear modulus, the velocity and frequency of the moving load have significant effects on the dynamic response of the plate. Some of these theories might find use in practical pavement engineering.