层状粘弹性地基动力响应的样条半解析法

提出应用样条半解析法求解层状粘弹性地基的动力响应。首先将位移函数表示为一次样条函数与Fourier级数的乘积形式 ,并使其满足无穷远处的边界条件 ,根据复阻尼理论的拉格朗日方程 ,使问题归结为求解若干次低阶复代数方程。在此基础上求解了落锤式弯沉仪 (FWD)所记录的荷载作用下的层状粘弹性地基动力响应。数值结果表明 ,该方法具有较高的精度。从而为落锤式弯沉仪 (FWD)检测路面提供了理论基础。

A simplified method for vibration analysis of layered visco-elastic foundation

In this paper, a simplified approach based on spline semi analytical method is proposed for analysis of dynamic response of layered visco elastic foundation. The foundation is divided into a number of sub layers and the displacement functions are expressed as the product of basic spline function and Fourier's series.According to the complex damping principle, the dynamic responses can be obtained by solving Lagrange's equation. Furthermore, The data of load time histories are measured by Falling Weight Deflectometer(FWD) in situ to calculate the response curves of layered visco elastic foundation. The results obtained are compared with solutions by other theoretical methods. It may be considered that the Falling Weight Deflectometer (FWD) is a useful tool for the dynamic test of road surface.