考慮豎向荷載的樁基水平振動響應解析解*
欒魯寶1，丁選明2，周仕禮1，朱振生1
- 摘 要
-
(1 河海大學土木與交通學院， 南京 210098； 2 重慶大學土木工程學院， 重慶 400045)
［摘要］針對粘彈性土中樁土水平耦合振動問題，考慮土體豎向應力梯度變化以及豎向荷載二階效應的影響，通過微分變換及分離變量法解耦土體波動方程，求得樁周土體位移和應力解析表達式，結合樁土耦合連續(xù)性條件，推導出樁身位移、內力解析表達式，討論了豎向荷載及樁土模量比對樁身位移、內力的影響。研究結果表明，豎向荷載超過某一臨界值時，會使樁基位移和內力發(fā)生重分布，樁身最大位移和剪力由樁頂向樁底轉移；樁土模量比對樁身位移和內力具有明顯影響，位移和內力隨樁土模量比的變化而變化，具體變化趨勢與深度有關。［關鍵詞］豎向荷載; 水平振動; 三維波動效應; 解析解; 粘彈性地基中圖分類號：TU473.1 文獻標識碼：A 文章編號：1002-848X(2015)19-0080-07
Analytical solution of lateral vibration response of an axial loaded pileLuan Lubao 1, Ding Xuanming2, Zhou Shili 1, Zhu Zhensheng 1(1 College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China; 2 College of Civil Engineering, Chongqing University, Chongqing 400045, China)Abstract: In view of the lateral coupled vibration problem of the pile and soil in visco-elastic soil, considering the influences of vertical stress gradient changeand second-order effect of axial load, the analytic expressions of displacement and stress of the soil around the pile were obtained by differential transformation and using separation of variable method to solve soil wave equation. Combined with the coupling continuous conditions of the pile and soil, the analytic expressions of displacement and internal force of the piles were derived, and the influences of the vertical load and the pile-soil modulus ratio on the pile displacement and the internal force were discussed. The research results show that when the axial load exceeds a critical value, displacement and the internal force of the pile foundation redistribute, and the maximum pile displacement and shear force transfer from the pile top to the pile bottom. Pile-soil modulus ratio has obvious effect on pile displacement and internal force, while displacement and internal force change with pile-soil modulus ratio and specific change trend relates to depth.Keywords: axial load; lateral vibration; 3D wave effect; analytical solution; visco-elastic foundation
* 國家自然科學基金項目(No.51378177，No.51420105013)。作者簡介：欒魯寶，研究生，Email：luanlub@163.com。
