Lateral Vibration Problem Of Defective Pile In Non-homogeneous Soil

The dynamic and mathematical models of defective piles in non-homogeneous soil with lateral impulse load are established by using Bernoulli-Euler beam and Timoshenko beam. By the means of Laplace transform, an exact transfer function of pile-soil system are derived. A delta-matrix is built in order to solve the loss of precision of high frequency. The frequency domain expressions of velocity and displacement of the pile head are improved. Further, the time domain expressions are derived in proportion by inverse Fourier transform. Then, by using the expressions to calculate and to draw the velocity curve and the displacement curve, to analyze the influence of the pile-head's velocity and displacement by parameters in a integrate pile, and to analyze the characteristic of the velocity and displacement curve of a defective pile. Ultimately, by the comparison of Timoshenko and Bernoulli-Euler beam theoretical prediction with the measured dynamic response, it is confirmed that use Timoshenko beam model to analyze the lateral vibration of pile is better than Bernoulli-Euler beam.