Study of new type of Daubechies wavelet connection coefficient used in computation of pile foundations

CHEN Ya-qin; ZHANG Hong-guang; DANG Fa-ning

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Study of new type of Daubechies wavelet connection coefficient used in computation of pile foundations

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- Study of new type of Daubechies wavelet connection coefficient used in computation of pile foundations
- Vol. 32, Issue 8, (2011)
- 作者机构：
  
  1. 西安理工大学岩土工程研究所,西安,710048
  2. 长安大学公路学院,西安,710064
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU470
- Online First：16 August 2011，
  
  Published：2011
- 稿件说明：
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CHEN Ya-qin, ZHANG Hong-guang, DANG Fa-ning. Study of new type of Daubechies wavelet connection coefficient used in computation of pile foundations[J]. 2011, 32(8).
DOI：

CHEN Ya-qin, ZHANG Hong-guang, DANG Fa-ning. Study of new type of Daubechies wavelet connection coefficient used in computation of pile foundations[J]. 2011, 32(8). DOI：

摘要

基于小波函数特有的多分辨特性，Daubechies小波在处理工程中的应力大梯度、强非线性和奇异问题方面具有较强优势。限于联系系数的计算广度不够，目前Daubechies小波有限元法的应用仅限于杆、梁以及地基系数为常数的弹性地基梁等方面的计算中。在基于m法的桩基础计算中，假定地基系数为线性函数，故挠曲线微分方程中荷载项的地基系数为线性变量，但与此相关的联系系数的计算方法及计算结果尚未见文献报导，无法应用Daubechies小波法进行求解。针对桩基础计算模型的特点，提出和推导了一类基于m法的可用于桩基础计算的小波联系系数，首次将Daubechies小波应用于桩基础的计算中。并利用上述结果，对桩基础的典型模型进行计算。结果表明，所推导出的Daubechies小波新型联系系数结果正确，基于Daubechies小波有限元法可精确求解桩基础的受力

Abstract

Based on the special characteristic of multi-resolution of wavelet function

Daubechies wavelet has strong superiority in solving some engineering problems such as high stress gradient

strong nonlinearity and some other singular problems in engineering. But because of the limited computation scope of connection coefficient

Daubechies wavelet finite element method has only been used in the computation of bar

beam

and beam on elastic foundations with a constant foundation coefficient. In the computation of pile foundations based on ‘m’ theory

the foundation coefficient is assumed as linear function. So the foundation coefficient of load in deflection curve differential equation is a linear variable. But the computation methods or results of relative connection coefficient have not been proposed in any documents up till now. Thus Daubechies wavelet method cannot be employed to conduct the computation of pile foundations based on ‘m’ theory. Aiming at the feature of computation model of pile foundations

a new type of connection coefficient is put forward based on ‘m’ theory. Thus Daubechies wavelet is applied to the computation of pile for the first time. Typical models of pile foundations are computed using the new type of connection coefficient mentioned above. The calculation result verifies the correctness of the educed new type of wavelet connection coefficient; and it is shown that pile foundations can be calculated with high accuracy by using wavelet finite element method.

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