The work presented herein overcomes the deficiency existed in available theories for longitudinal vibration of pile induced by using simpler soil model for simulating surrounding soil . this develops the longitudinal vibration theory of pile and makes it more perfect 本文工作克服了现有相关研究中对桩侧土采用的模型过于简单所造成的缺陷，从而发展和完善了桩的纵向振动理论。
