Semi-analytical solution to dynamic response of transversely isotropic layered foundation-thin plate structure under moving loads

To study the influences of anisotropy and dynamic parameters on the response of a layered foundation-thin plate structure, from the basis of the anisotropic elastodynamics, a semi-analytical solution to the dynamic response of TI layered foundation-thin plate (infinite) model under moving rectangular harmonic loads is established by using the integral transformation and the matrix theory. The accuracy of the semi-analytical solution is verified by comparing the results of the existing examples, and then the parametric analysis of the displacement dynamic response of the plate is carried out. The results show that there is a large difference between the calculated results under the assumption of isotropy and transverse isotropy. Compared with that of the static loads, the displacement amplitude of the moving loads is asymmetric, and there is a critical velocity which makes the maximum amplitude of the loading area. The affected range of the displacement reduces with the increase of the frequency. The anisotropy of the first layer has a greater impact on the displacement than other layers. Adjusting its n value can optimize the displacement characteristics of the plate under dynamic loads.