任意段变截面桩纵向振动的半解析解及应用

任意段变截面桩纵向振动的半解析解及应用 English Version

摘要: 建立了均质土中考虑桩端和桩侧土作用的有限长桩 ,在桩身存在任意段变截面时 ,桩顶受纵向激励情况下的定解问题 ,用拉氏变换 (Laplace)求得桩顶阻抗函数和速度频率响应函数 ,然后利用卷积定理和傅里叶 (Fourier)逆变换求得任意激振力作用下桩顶速度响应的半解析解 ,并对缩颈、扩颈等截面突变桩以及截面连续变化桩的振动特性作了进一步的研究。
- 变截面桩 /
- 纵向振动 /
- 拉氏变换 /
- 阻抗函数 /
- 傅里叶逆变换
Abstract: The vibration problem of finite length pile with any variable sections under exciting force is developed,in which the influence of the soil under pile toe and surrounding pile is taken into account.With Laplace transform,the transmit functions of a pile about velocity and displacement are derived.Then,by means of Fourier transform,a quasi analytical solution for the velocity response of pile subjected to a semi sine wave exciting force is developed.Based on the solution,the vibrant properties of pile with sharp reduced or expanded section or continuous variable sections are studied.
- pile with variable sections /
- vertical vibration /
- Laplace transform /
- impedance function /
- inverse Fourier transfor