横观各向同性混凝土路面层状结构动力响应求解与分析

Solution and analysis of dynamic response for layered transversely isotropic structure of concrete pavement

考虑到混凝土路面结构由于其形成工艺等原因而存在一定的横观各向同性属性,采用傅立叶积分方程变换方法求解得到频率域内弯沉盆动力刚度矩阵,进而采用混合变量算法求解得到时域内弯沉盆在落锤弯沉仪动荷载作用下的动力响应。文章算法在水平向可以得到解析表达,竖直向通过精细积分算法可以达到计算机意义上的精度。数值算例验证了文章算法的准确性,在此基础上针对路面结构和层状地基厚度以及材料属性进行了广泛的参数分析,以期为工程实际提供可靠的理论依据。

Considering that concrete pavement structure has certain transverse isotropy property due to its formation process and other reasons,in this paper,the dynamic stiffness matrix of deflection basin in frequency domain is obtained by using Fourier integral equation transformation method,and then the dynamic response of deflection basin in time domain under dynamic load of Falling Weight Deflectometer is obtained by using mixed variable algorithm. The algorithm can be expressed analytically in horizontal direction,and precision in computer sense can be achieved by precise integration algorithm in vertical direction. Numerical examples verify the accuracy of the proposed algorithm. On this basis,extensive parametric analysis is carried out for bottom boundary condition of the pavement structure and the transversely isotropic property,so as to provide reliable analysis for engineering practice.