College of Civil Engineering Hunan University Changsha 410082 ChinaDepartment of Civil and Environmental Engineering Michigan Technological University Houghton MI 49931 USA;
College of Civil Engineering Hunan University Changsha 410082 China;
College of Civil Engineering Hunan University Changsha 410082 China;
College of Civil Engineering Hunan University Changsha 410082 China;
multi-layered structure; Hankel transformation; anisotropic; transversely isotropic; interlayer condition; Gauss-Legendre quadrature;