Combined Fourier-wavelet transforms for studying dynamic response of anisotropic multi-layered flexible pavement with linear-gradual interlayers
 作者： Lingyun You,  Jianhong Man,  Kezhen Yan,  Daocheng Wang,  Huili Li 作者单位： 1College of Civil Engineering, Hunan University, Changsha 410082, PR China2Department of Civil and Environmental Engineering, Michigan Technological University, Houghton, MI49931, USA3College of Civil Engineering, Tongji University, Shanghai 200092 PR China4Western Investment Co., Ltd. of CCTEB, Chengdu 610000, PR China 刊名： Applied Mathematical Modelling, 2020, Vol.81 , pp.559-581 来源数据库： Elsevier Journal DOI： 10.1016/j.apm.2020.01.031 关键词： Flexible pavement;  Dynamic response;  Anisotropic;  Transversely isotropic;  Linear-gradual interlayers;  Fourier-wavelet transforms; 原始语种摘要： Abstract(#br)The objective of this study is to develop an analytical solution for studying dynamic response of anisotropic multi-layered flexible pavement with linear-gradual interlayers under a harmonic moving load. In this study, the flexible pavement structure is simplified as one multi-layered flexible system, which is assumed to be a semi-infinite medium. A new approach combining the Fourier transform with the wavelet transform for solving the dynamic analytical solution. The wavelet transforms for solving inverse Fourier transform, in solving the solution in the physical domain, is superior to the conventional inverse Fourier transform. The linear-gradual interlayer between the adjacent layers is defined using the shear spring model, and the anisotropic property is simplified as... transverse isotropy. Also, in the dynamic analytical solving processes, the motion in the transversely isotropic medium is decoupled into in-plane motion and out-of-plane motion because of the propagation of the waves in a transversely isotropic medium with coupling phenomena. The corresponding analytical solution is entered into a MATLAB-based computer program, which can compute the dynamic responses of an anisotropic multi-layered medium at different interlayer conditions. The accuracy of this program is confirmed through comparison with the results from the examples from the references. The influence analyses of linear-gradual interlayers and anisotropic properties of structural layers are illustrated. It is concluded that the proposed analytical solution-based computer program could be used in the multi-layered flexible pavement structural design and risk management in civil engineering.

• flexible　接电绳
• wavelet　波涟