Vertical dynamic characteristics of single pile with cushion cap undergoing free vibration
WANG Kui-hua1, CHEN Xin1, LV Shu-hui1, WU Wen-bing2, LI Zhen-ya1
1.Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; 2.Engineering Faculty, China University of Geosciences, Wuhan 430074, China
Based on generalized Voigt model, the vertical free vibration of single pile with cushion cap was theoretically investigated by considering the viscosity of pile material. First, pile top the impedance is calculated according to the impedance transformation principle. Then, substituting the top impedance which serves as the supporting rigidity into the dynamic equilibrium equation of free vibration cushion cap, a semi-analytical solution for time-domain displacement curve can be obtained by using Laplace transformation and inverse transformation methods. Parametric study method was adopted to study the effects of pile diameter, length, material viscosity and different soil types on the free vibration characteristic of pile with exposed cushion cap. Finally, a comparison between the theoretical curve and the measurement values is conducted. The results of the present approach and the engineering practice show good agreement.
WANG Kui-hua, CHEN Xin, LV Shu-hui, WU Wen-bing, LI Zhen-ya. Vertical dynamic characteristics of single pile with cushion cap undergoing free vibration. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2014, 48(9): 1595-1602.
[1]张忠苗. 桩基工程[M]. 北京:中国建筑工业出版社,2007.
[2]中华人民共和国国家标准编写组. 地基动力特性测试规范 (GB/T50269–97)[S]. 北京:中国建筑工业出版社,1998.
[3]胡钧. 桩基动力特性试验研究与应用 [J]. 上海地质,1999(01):2630,38.
HU Jun. Researches and application on dynamic properties measurement of pile foundation[J]. Shanghai Geology, 1999(01):2630,38.
[4]张改慧,胡时岳. 单桩的动刚度测试和数据处理方法的研究[J]. 应用力学学报,2002,19(4):105-108.
ZHANG Gai-hui, HU Shi-yue. A research of method of dynamic stiffness test and data processing for single pile[J]. Chinese Journal of Applied Mechanics, 2002,19(4):105-108.
[5]石振明,陈建峰,祝龙根. PHC管桩动力特性试验研究[J]. 岩土力学,2004,25(10):16221626.
SHI Zhen-ming, CHEN Jian-feng, ZHU Long-gen. Test study on dynamic properties of PHC pile[J]. Rock and Soil Mechanics, 2004,25(10):1622-1626.
[6]LU Jian-fei, ZHANG Xu, WAN Jian-wei et al. The influence of a fixed axial top load on the dynamic response of a single pile[J]. Computers and Geotechnics, 2012, 39: 54-65.
[7]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(S2):3463-3467.
TAN Xue-min,WU Yu-jin,ZHONG Xiao-lin. Experimental study on dynamic stiffness of single pile with cushion cap[J]. Chinese Journal of Rock Mechanics and Engineering, 2006,25(S2):3463-3467.
[8]王腾,王奎华,谢康和. 任意段变截面桩纵向振动的半解析解及应用[J]. 岩土工程学报,2000,22(6):654-658.
WANG Teng, WANG Kui-hua, XIE Kang-he. A quasi-analytical solution to longitudinal vibration of pile with variable sections and its application[J]. Chinese Journal of Geotechnical Engineering, 2000,22(6):654-658.
[9]王腾,王奎华,谢康和. 成层土中桩的纵向振动理论研究及应用[J]. 土木工程学报,2002,35(1):83-87.
WANG Teng, WANG Kui-hua, XIE Kang-he. Study on vibration properties of piles in layered soils[J]. China Civil Engineering Journal, 2002,35(1):83-87.
[10] NOVAK M, NOGAMI T. Dynamic soil reaction for plane strain case[J]. Journal of the Engineering Mechanical Division, ASCE, 1978, 104(EM4): 953959.
[11] NOGAMI T, KONAGAI K. Time Domain axial response of dynamically loaded single piles[J]. Journal of the Engineering Mechanical Division, ASCE, 1986, 112(11): 1241-1252.
[12] KONAGAI K. Subgrade model for transient response analysis of multiple embedded bodies[J]. Earthquake Engineering and Structural Dynamics, 1994, 23: 10971114.
[13] LYSMER J, RICHART F E. Dynamic response of footing to vertical load[J]. Soil Mechanical and Foundation Division, ASCE, 1966, 2(1): 65-91.
[14] 王奎华. 成层广义Voigt地基中黏弹性桩纵向振动分析与应用[J]. 浙江大学学报:工学版,2002,36(5):565571,595.
WANG Kui-hua. Vibration of inhomogeneous viscous-elastic pile embedded in layered soils with general Voigt model[J]. Journal of Zhejiang University:Engineering Science, 2002, 36(5): 565571,595.
[15] 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 Kui-hua, YING Hong-wei. Vibration of inhomogeneous pile embedded in layered soils with general Voigt models[J]. Acta Mechanica Solida Sinica, 2003, 24(3):293-303.
[16] 徐攸在. 桩的动测新技术[M]. 2版.北京:中国建筑工业出版社,2002.