识别桩基完整性的数学模型

Mathematical Models for Identifying Pile Integrity

根据小应变试验桩土间相互作用规律，建立了在锤击力作用下的桩土系统动力学方程。并利用数学变换，将基于桩头实测信号的桩基完整性定量拟合的原偏微分方程反问题求解转化为一个常微分方程反问题来求解。本文所通过的这种变换，使原问题求解得以简化，为识别桩基完整性提供了新的数学模型。

Based on the characteristics of dynamic responses of a Pile-soils,system by an integrity test,the wave equation of 1-D bar with soil damping is derived. By use of a mathematical transformation,mathematical models for identifying discontinuties in a pile are constructed.