摘要
建立了成层土中考虑桩端和桩侧土作用的有限长桩在任意激励力作用下的定解问题 ,并用拉氏(Laplace)变换和阻抗传递函数求得任意层土中桩顶速度和位移响应函数的解析表达式 ,然后利用卷积定理和付里叶 (Fourier)逆变换求得半正弦脉冲激振力作用下桩顶的速度时域响应的半解析解 (积分形式解 )。并就成层土中的桩侧和桩底土的特性的变化对桩纵向振动特性的影响作了进一步的研究。
An analytical solution of the vertical vibration for a pile in layered soils is proposed in the paper.The influence of the soil under pile?toe and surrounding pile is taken into account.With the help of Laplace transform and impedance transfer functions,the velocity and displacement of pile top are derived.Then,a semi?analytical solution of the velocity response under semi?sine impulse exciting is obtained.It is based on the convolution theorem and inverse Fourier transform.The influences of soil on the vibration properties of piles in layered soils are also discussed.
出处
《土木工程学报》
EI
CSCD
北大核心
2002年第1期83-87,共5页
China Civil Engineering Journal
关键词
成层土
纵向振动
拉氏变换
阻抗函数
付里叶逆变换
pile,layered soils,vertical vibration,Laplace transform,impedance function,inverse Fourier transform
