带承台单桩耦合体系纵向振动的重正化解法研究

doi:10.13722/j.cnki.jrme.2015.1165

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Abstract From the perspective of nonlinear vibration mechanics，the vertical free vibration characteristics of a single pile with cushion cap embedded in layered foundation were studied based on renormalization method. The form of the spring coupled with the unit block was taken to discretize the pile body and its surrounding soil. The generalized Voigt series were used to describe the friction effect of the viscoelastic soil layers. A vertical vibration model for the nonlinear system of cushion cap-single pile-soil with multiple degrees of freedom was established. The vertical vibration frequency of the coupled model was given through the coordinate transformation principle of renormalization and the distribution coefficient of pile quality was introduced to represent different equations of vibration frequency under different conditions. The correctness and accuracy of the renormalization method for vibration frequency equations were verified. The influential factors including the pile quality，the material stiffnessthe cap quality and the friction resistance were investigated.

Key words： pile foundation pile with cap vertical vibration renormalization frequency stability

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	Articles by authors
	LI Hongjiang1
	2
	LIU Songyu1
	2
	TONG Liyuan1
	2

Cite this article:

LI Hongjiang1,2,LIU Songyu1, et al. Renormalization study of vertical vibration of single pile with cushion cap[J]. , 2016, 35(6): 1281-1290.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2015.1165 OR https://rockmech.whrsm.ac.cn/EN/Y2016/V35/I6/1281

[1] TAJIMI H. Seismic effects on piles[C]// Proceedings of International Conference of Soil Mechanics. Tokyo：[s.n.]，1977：15–26.
[2] VAN K H，MIDDENDORP P，VAN B P. An analysis of dissipative wave propagation in a pile[C]// International Seminar on the Application of Stress-Wave Theory on Piles. Stockholm：[s.n.]，1980：520–529.
[3] 王奎华，谢康和，曾国熙. 有限长桩受迫振动问题解析解及其应用[J]. 岩土工程学报，1997，19(6)：27–35.(WANG Kuihua，XIE Kanghe，ZENG Guoxi. Analytical solution to vibration of finite length pile under exciting force and its application[J]. Chinese Journal of Geotechnical Engineering，1997，19(6)：27–35.(in Chinese))
[4] NOVAK M. Dynamic stiffness and damping of piles[J]. Canadian Geotechnical Journal，1974，11(4)：574–598.
[5] 丁选明，刘汉龙. 大直径管桩在瞬态集中荷载作用下的振动响应时域解析解[J]. 岩土工程学报，2013，35(6)：1 010–1 017.(DING Xuanming，LIU Hanlong. Time-domain analytical solution of the vibration response of a large-diameter pipe pile subjected to transient concentrated load[J]. Chinese Journal of Geotechnical Engineering，2013，35(6)：1 010–1 017.(in Chinese))
[6] LU J F，ZHANG X，WANG J W，et al. The influence of a fixed axial top load on the dynamics response of a single pile[J]. Computers and Geotechnics，2012，39：54–65.
[7] FUKUWA N，WEN X Z. Efficient soil-structure interaction analysis method of a large-scale pile group[C]// Proceedings of the 4th US- Japan Workshop on Soil-Structure Interaction. Tsukuba，Japan：[s.n.]，2007：1–13.
[8] 王奎华，应宏伟. 广义Voigt土模型条件下桩的纵向振动响应与应用[J]. 固体力学学报，2003，24(3)：293–303.(WANG Kuihua，YING Hongwei. Vibration of inhomogeneous pile embedded in layered soils with general Voigt models[J]. Acta Mechanica Solida Sinica，2003，24(3)：293–303.(in Chinese))
[9] 王奎华，陈鑫，吕述晖，等. 自由振动时带承台单桩的纵向动力特性[J]. 浙江大学学报：工学版，2014，48(9)：1 595–1 602.(WANG Kuihua，CHEN Xin，LU Shuhui，et al. Vertical dynamic characteristics of single pile with cushion cap undergoing free vibration[J]. Journal of Zhejiang University：Engineering Science，2014，48(9)：1 595–1 602. (in Chinese))
[10] 冷伍明，何群，徐林荣，等. 铁路桥梁群桩基础桥墩自振频率计算分析和应用研究[J]. 铁道学报，1999，21(4)：72–76.(LENG Wuming，HE Qun，XU Linrong，et al. Study on natural frequency of bridge pier supported by group pile foundation[J]. China Railway Society Journal，1999，21(4)：72–76.(in Chinese))
[11] 任青，黄茂松. 刚性桩筏基础的竖向振动特性分析[J]. 土木工程学，2011，44(6)：105–111.(REN Qin，HUANG Maosong. Vertical vibration of rigid piled-raft foundations[J]. China Civil Engineering Journal，2011，44(6)：105–111.(in Chinese))
[12] 谭学民，吴裕锦，钟晓林. 带承台单桩动刚度的试验研究[J]. 岩石力学与工程学报，2006，25(增2)：3 463–3 467.(TAN Xuemin，WU Yujin，ZHONG Xiaolin. Experimental study on dynamic stiffness of single pile with cushion cap[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(Supp.2)：3 463–3 467.(in Chinese))
[13] 汪容. 重正化和重正化群[J]. 自然杂志，1984，7(2)：94–99. (WANG Rong. Renormalization and renormalization group[J]. Chinese Journal of Nature，1984，7(2)：94–99.(in Chinese))
[14] BHATTACHARYYA P，BIKAS K C. Modelling critical and catastrophic phenomena in geoscience：a statistical physics approach[M]. Berlin，Heidelberg：Springer Science and Business Media，2006：205–209.
[15] 秦四清，徐锡伟，胡平，等. 孕震断层的多锁固段脆性破裂机制与地震预测新方法的探索[J]. 地球物理学报，2010，53(4)：1 001–1 014.(QIN Siqing，XU Xiwei，HU Ping，et al. Brittle failure mechanism of multiple locked patches in a seismogenic fault system and exploration on a new way for earthquake prediction[J]. Chinese Journal of Geophysics，2010，53(4)：1 001–1 014.(in Chinese))
[16] 李洪江，刘红军，王虎，等. 饱和海床土渗流–应力耦合损伤及液化破坏规律(II)[J]. 哈尔滨工程大学学报，2014，35(12)：1 480–1 486. (LI Hongjiang，LIU Hongjun，WANG Hu，et al. Study on seepage-stress coupling damage and liquefaction failure regularity of saturated seabed soil(II)[J]. Journal of Harbin Engineering University，2014，35(12)：1 480–1 486.(in Chinese))
[17] 陈忠辉，谭国焕，杨文柱. 岩石脆性破裂的重正化研究及数值模拟[J]. 岩土工程学报，2002，24(2)：183–187.(CHEN Zhonghui，TAN Guohuan，YANG Wenzhu. Renormalization study and numerical simulation on brittle failure of rocks[J]. Chinese Journal of Geotechnical Engineering，2002，24(2)：183–187.(in Chinese))
[18] NOGAMI T，KONAGAI K. Time domain axial response of dynamically loaded single piles[J]. Journal of Engineering Mechanics，ASCE，1986，112(11)：1 241–1 252.
[19] NOGAMI T，NOVAK M. Soil-pile interaction in vertical vibration[J]. Earthquake Engineering and Structural Dynamics，1976，4(3)：277–293.
[20] YAMAMOTO Y. Spring?s effective mass in spring mass system free vibration[J]. Journal of Sound and Vibration，1999，220(3)：564–570.
[21] 栾茂田，孔德森，杨庆，等. 层状土中单桩竖向简谐动力响应的简化解析方法[J]. 岩土力学，2005，26(3)：375–380.(LUAN Maotian，KONG Desen，YANG Qing，et al. Simplified analytic method of vertical harmonic response of single pile embedded in layered soils[J]. Rock and Soil Mechanics，2005，26(3)：375–380.(in Chinese))