Using superposition principle progress the pipe model and the defect that the model is only applicable deep buried runnel is overcome. The coupled problem is solved in the frequency domain by Fourier decomposition into ring modes circumferentially and a Fourier transform into the wavenumber domain longitudinally. A software system is developed based on MATLAB. The vibration transmission law of tunnel and soil are analyzed.
Yin Zhi-gang;Ding Jie-min.
A three-dimensional model for prediction of vibrationsinduced by underground railway[J]. Journal of Vibration and Shock, 2010, 29(9): 123-125,