| Based on the constitutive relation of transversely isotropic materials, the vibration characteristics of defective piles in viscoelastic transversely isotropic soil are studied. Firstly, the defective piles and soil are segmented and layered according to the distribution of piles and soil layers, and a coupled vibration model of defective piles and transversely isotropic soil is established. Combined with boundary conditions and initial conditions, the separation of variables method is used to solve the dynamic equation of transversely isotropic soil, and then the dynamic coupling equation of soil and pile is solved. The dynamic impedance function and admittance function of the pile top are obtained by the impedance function recursion method, and then the time domain response solution of the pile top velocity is obtained by inverse Fourier transform. The theoretical solution is subjected to degradation analysis, and the degradation results are completely consistent with the isotropic material solution, verifying the correctness of the theoretical solution. Finally, the influence of the main parameters such as the radius, length, burial depth of the defective section of the pile body and the transversely isotropic soil parameters on the defective pile is analyzed, and finally the coupling vibration mechanism of transversely isotropic soil and defective pile is revealed. |
