基于小波理论的沥青路面稳态响应解析解研究

摘要

为了研究移动载荷作用下的沥青路面稳态响应，将沥青路面看作Kelvin粘弹性地基上不仅具有弹性，而且具有粘滞性的无限长梁，建立稳态响应计算的数学模型。利用Fourier变换和小波变换方法，得到了求解沥青路面稳态响应解析解的一种新方法，并进行了实例计算与分析。由于该方法不需要进行复杂的多重积分运算，计算快捷、方便，为研究沥青路面动力响应提供了一种有效算法。%In order to study the steady response of asphalt road subjected to moving load, the asphalt pavement is treated as an infinite long beam which not only has elasticity,but also has viscosity based on Kelvin viscous-elastic foundation. A mathematical model of the steady response is established. A new method to calculate the steady response is obtained by using Fourier translation in conjunction with wavelet analysis method. The asphalt pavement steady dynamic response is simulated and analyzed according to the actual road parameters. This method does not need to calculate complex multiple integral and is a very quick and convenient way. Thus it provides an effective algorithm for study the asphalt pavement dynamic response.