Analytical Solution for Dynamic Response of Transversely IsotropicStructures Considering the State of Interlayer Contact State

DOI：

 作者 单位 颜可珍，满建宏，石挺魏，陈帅，刘能源 （湖南大学 土木工程学院，湖南 长沙 410082）

基于线弹性体动力学基本方程，结合坐标变换、Buchwald势函数，建立了移动荷载作用下层状横观各向同性结构的动力控制方程，利用傅里叶变换及其微分性质得到了在Fourier变换域内单层有限厚度刚度矩阵和半空间无限体刚度矩阵. 考虑层间接触条件组装各刚度矩阵得到总刚度矩阵，并根据边界条件求解总刚度矩阵在变换域内的解. 然后，进行Fourier逆变换将变换域内的解转化为物理域内的解. 通过与已有文献结果的对比验证了本文理论推导的正确性，随后通过参数的变化来模拟层间接触状态的改变，并分析了面层与基层层间接触状态对路面结构动力响应的影响. 计算结果表明：基、面层层间接触状况越差，路面结构的整体性耐久性越差.

Based on the basic equations of linear elastodynamics, combined with the coordinate transformation and Buchwald potential function, the dynamic governing equations for a transversely isotropic multilayered pavement under moving loads are developed. The stiffness matrix for a single layer with a finite thickness and a half-plane are derived by using Fourier transform and its differential properties. Considering the interlayer conditions between layers, the global matrix are assembled with the analytical layer element of each layer. The solutions in the integral transform domain are obtained by combining with the boundary conditions. Then, the corresponding solution in the frequency domain is further recovered by applying inverse Fourier transform. The theoretical derivation of this paper is verified by comparing with the results of the existing literature. The change of interlayer conditions between layers is then simulated by changing parameters. The influence of the interlayer conditions between the surface layer and base layer on the dynamic response of the pavement structure can be calculated and analyzed. The calculation results show that the poor interlayer condition between the adjacent structure layers can cause the poor overall performance and durability of the pavement structure.