余俊, 尚守平, 任慧, 等. 饱和土中桩竖向振动响应分析[J]. 工程力学, 2008, 25(10): 187―193. Yu Jun, Shang Shouping, Ren Hui, et al. Vertical dynamic response of pile in saturated soil [J]. Engineering Mechanics, 2008, 25(10): 187―193. (in Chinese)
[2]
胡春林, 熊伟芬, 胡胜刚. 桩基非线性轴向受迫振动稳态幅频响应分析[J]. 工程力学, 2010, 27(1): 173―178. Hu Chunlin, Xiong Weifen, Hu Shenggang. Study on steady-state frequency-response of nonlinear axial forced vibration of piles [J]. Engineering Mechanics, 2010, 27(1): 173―178. (in Chinese)
[3]
胡昌斌, 张涛. 考虑桩土耦合作用时桩基扭转振动特性研究[J]. 工程力学, 2007, 24(3): 147―153. Hu Changbin, Zhang Tao. Soil-pile interaction in torsional vibrations of a pile in viscous damping soil layer [J]. Engineering Mechanics, 2007, 24(3): 147―153. (in Chinese)
[4]
Naggar M H E, Novak M. Nonlinear axial interaction in pile dynamics [J]. Journal of Geotechnical Engineering, 1994, 120(4): 678―696.
[5]
Naggar M H E, Novak M. Nonlinear analysis for dynamic lateral pile response [J]. Soil Dynamics and Earthquake Engineering, 1996, 15(4): 233―244.
[6]
Rovithis E N, Pitilakis K D, Mylonakis G E. Seismic analysis of coupled soil-pile-structure systems leading to the definition of a pseudo-natural SSI frequency [J]. Soil Dynamics and Earthquake Engineering, 2009, 29(6): 1005―1015.
[7]
Soneji B B, Jangid R S. Influence of soil-structure interaction on the response of seismically isolated cable-stayed bridge [J]. Soil Dynamics and Earthquake Engineering, 2008, 28(4): 245―257.
[8]
Kuo Yu-Shu, Achmus M, Abdel-Rahman K. Minimum embedded length of cyclic horizontal loaded monopiles [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2012, 138(3): 357―363.
[9]
Alexander N A. Estimating the nonlinear resonance frequency of a single pile in nonlinear soil [J]. Journal of Sound and Vibration, 2010, 329(8): 1137―1153.
[10]
Wei B, Xu Y, Li J. Treatment of P-Delta effects in displacement-based seismic design for SDOF systems [J]. Journal of Bridge Engineering, 2012, 17(3): 509―518.
[11]
马建军, 王连华, 赵跃宇. 弹性地基有限长梁的动力学建模[J]. 中国科学：物理学 力学 天文学, 2013, 43(6): 765―771. Ma Jianjun, Wang Lianhua, Zhao Yueyu. Dynamic modeling of the finite-length beam on the elastic foundation [J]. Scientia Sinica: Physica, Mechanica & Astronomica, 2013, 43(6): 765―771. (in Chinese)
[12]
成志清. 对结构动力学设计中若干问题的思考[J]. 振动、测试与诊断, 1994, 14(2): 1―6. Cheng Zhiqing. Considerations on several problems in structural dynamic design [J]. Journal of Vibration, Measurement & Diagnosis, 1994, 14(2): 1―6. (in Chinese)
[13]
Ma J, Peng J, Wang L, et al. Critical load and buckling of the single pile foundation subjected to the vertical load [C]// Proceeding of the 4th Symposium on the Mechanics of Slender Structures. Harbin, China, Journal of Physics: Conference Series, 2013, 448: 012009.
[14]
Nayfeh A H, Mook D T. Nonlinear Oscillations [M]. New York: Wiley-Interscience, 1995: 163―169.
[15]
Nayfeh A H. Introduction to Perturbation Techniques [M]. New York: Wiley-Interscience, 1993: 122―127.
