黏弹性地基中PCC桩扭转振动响应解析方法研究

›› 2013, Vol. 34 ›› Issue (7): 1943-1950.

黏弹性地基中PCC桩扭转振动响应解析方法研究

郑长杰^{1, 2}，丁选明^{1, 3}，刘汉龙^{1, 2}，吕亚茹^{1, 2}

1. 河海大学岩土力学与堤坝工程教育部重点实验室，南京 210098；2. 河海大学岩土工程科学研究所，南京 210098； 3. 河海大学水资源高效利用与工程安全国家工程研究中心，南京 210098

收稿日期:2012-06-28 出版日期:2013-07-10 发布日期:2013-07-15
作者简介:郑长杰，男，1989年生，博士，主要从事桩基动力学方面的研究。
基金资助:
国家自然科学基金高铁联合基金重点项目(No. U1134207)；国家自然科学基金(No. 51008115)；国家杰出青年科学基金项目(No. 50825901)

Analytic method of torsional vibration response of cast-in-place concrete large-diameter pipe pile in viscoelastic soil

ZHENG Chang-jie^{1, 2}，DING Xuan-ming^{1, 3}，LIU Han-long^{1, 2}，LÜ Ya-ru^{1, 2}

1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China; 2. Geotechnical Research Institute, Hohai University, Nanjing 210098, China; 3. National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China

Received:2012-06-28 Online:2013-07-10 Published:2013-07-15

摘要/Abstract

摘要： 考虑土体材料的黏性阻尼和桩-土扭转耦合振动，把桩看作一维杆，将土体视作三维轴对称黏弹性介质，对黏弹性地基中现浇混凝土大直径管桩（简称PCC桩）扭转振动频域特性进行了理论研究，采用Laplace变换和分离变量的方法求得了桩顶扭转频域响应解析解。将所得解完全退化到实心桩的解，并与经典平面应变解进行对比，验证了解析解的合理性。分析了桩长以及土体黏性阻尼系数对桩顶速度导纳和复动刚度的影响，得到了各参数对桩扭转振动特性影响的规律。分析表明：桩周土黏性阻尼系数增大可以显著提高桩顶扭转复动刚度和减小速度导纳振荡幅值，而桩芯土黏性阻尼系数的影响不明显；桩长越长，桩顶复动刚度越大，速度导纳振荡幅值越小，但当桩长增大到一定程度时，再继续增加桩长，桩顶复动刚度基本没有改变。

关键词: PCC桩, 扭转振动, 解析解, 复动刚度, 黏弹性地基

Abstract: Considering the viscous damping of the soil and the soil-pile torsional coupled vibration, regarding the pile as a one-dimensional rod and the soil as three dimensional axisymmetric viscoelastic medium, the frequency-domain torsional vibration response of cast-in-place concrete large-diameter pipe pile (PCC pile)in viscoelastic soil is theoretically investigated. The analytical solution in frequency domain is obtained by Laplace transformation method and the method of separation of variables. The solution is compared with the solution of a solid pile and plane strain solution extended to pipe pile to verify its rationality. Moreover, by analyzing the effects of pile length and viscous damping coefficient of soil on the velocity admittance and complex dynamic stiffness, the regularity of variations of the torsional vibration characteristics with parameters is obtained. Analysis shows that the complex dynamic stiffness at the top of pile increases with the increase of viscous damping coefficient of outer soil and the oscillation amplitudes of the velocity admittance decrease; while the effect of viscous damping of inner soil on the complex dynamic stiffness and velocity admittance is little. The complex dynamic stiffness increases and the oscillation amplitudes of the velocity admittance decrease with the increase of the pile length. However, when the pile length increases to a critical length, the effect trends to vanish.

Key words: PCC pile, torsional vibration, analytical solution, complex dynamic stiffness, viscoelastic soil

中图分类号:

TU 473

郑长杰，丁选明，刘汉龙，吕亚茹 . 黏弹性地基中PCC桩扭转振动响应解析方法研究[J]. , 2013, 34(7): 1943-1950.

ZHENG Chang-jie ，DING Xuan-ming ，LIU Han-long ，Lü Ya-ru . Analytic method of torsional vibration response of cast-in-place concrete large-diameter pipe pile in viscoelastic soil[J]. , 2013, 34(7): 1943-1950.

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