An Analytical Model for Estimating the Vibration Frequency of Structures Located on the Pile Group in the Case of Floating Piles and End-bearing Pile
Exact estimation of vibration fundamental period of structures plays a vital role in their designing procedure. The proposition of a relatively exact expression which considers the effects of a pile group on the fundamental period of the structures was of less interest to previous researchers. This study aims to propose an analytical model and expression so as to estimate the free vibration period of the structures located on a pile group. To reach the objectives of this study, several numerical analyses has been carried out using the method of equivalent spring which takes into account the effects of soil-pile-structure interaction on the fundamental period of the structures. In the next step of the study the effects of a pile group on the fundamental period of the structures have been analyzed analytically. In this analytical study two cases have been considered for the piles which are end-bearing and floating piles. In the case of floating piles a five degrees-of-freedom analytical model and its corresponding expression have been proposed considering the soil-pile-structure system. The numerical modelling has been performed using the direct method due to the neglect of the soil in analytical expression and the results have been compared with those of the proposed analytical expression. The soil mass participation coefficient (λ) has been obtained using the discrepancy between the results of the two different methods to modify the analytical expression. In the case of end-bearing piles an analytical model with three degrees-of-freedom and its corresponding expressions has been proposed. Then the soil has been neglected and a new analytical expression has been proposed using the mass participation coefficients adopted from other researches to calculate the fundamental period of the structures. The comparison between the results of the proposed expression and those of case and numerical studies confirms that the proposed expressions benefit from a relative accuracy and can be used as an initial criterion in designing procedure.
Abaqus, 2015, Dassault Systèmes, version 6.13.
Chau, K. T., Shen, C. Y., & Guo, X. (2009). Nonlinear seismic soil–pile–structure interactions: shaking table tests and FEM analyses. Soil Dynamics and Earthquake Engineering, 29(2), 300-310. doi: 10.1016/j.soildyn.2008.02.004.
Hosseinzadeh, N., Davoodi, M., & Roknabadi, E. R. (2009). Comparison of soil-structure interaction effects between building code requirements and shake table study. Journal of Seismology and Earthquake Engineering, 11(1), 31.
Khari, Anuar Bin Kassim and Adnan, 2013. “Dynamic Soil-Pile Interaction under Earthquake Events”, Caspian Journal of Applied Sciences Research, Vol. 2, pp. 292-299.
Chang, D.-W., Cheng, S.-H., & Wang, Y.-L. (2014). One-dimensional wave equation analyses for pile responses subjected to seismic horizontal ground motions. Soils and Foundations, 54(3), 313–328. doi: 10.1016/j.sandf.2014.04.018.
Ghanbari, E., & Ghanbari, A. (2016). A new criterion for considering soil-structure interaction on analysis of moment frames. International Journal of Structural Engineering, 7(1), 31. doi: 10.1504/ijstructe.2016.073677.
Hokmabadi, A. S., Fatahi, B., & Samali, B. (2014). RETRACTED: Seismic response of mid-rise buildings on shallow and end-bearing pile foundations in soft soil. Soils and Foundations, 54(3), 345–363. doi: 10.1016/j.sandf.2014.04.020.
Shirgir, V., Ghanbari, A., & Shahrouzi, M. (2015). Natural Frequency of Single Pier Bridges Considering Soil-Structure Interaction. Journal of Earthquake Engineering, 20(4), 611–632. doi: 10.1080/13632469.2015.1104754.
Fattah, M. Y., & Mustafa, F. S. (2016). Development of Excess Pore Water Pressure around Piles Excited by Pure Vertical Vibration. International Journal of Civil Engineering, 15(6), 907–920. doi: 10.1007/s40999-016-0073-7.
Li, X., Cai, G., Liu, S., Puppala, A. J., Zheng, J., & Jiang, T. (2017). Undrained Shear Strength and Pore Pressure Changes Due to Prestress Concrete Pile Installation in Soft Clay. International Journal of Civil Engineering. doi: 10.1007/s40999-017- 0200-0.
Sharafi, H., & Sojoudi, Y. (2016). Experimental and Numerical Study of Pile-Stabilized Slopes under Surface Load Conditions. International Journal of Civil Engineering, 14(4), 221–232. doi: 10.1007/s40999-016-0017-2.
Kumar, S., & Prakash, S. (2004). Estimation of fundamental period for structures supported on pile foundations. Geotechnical & Geological Engineering, 22(3), 375. doi: 10.1023/b:gege.0000025041.00879.5b.
Maheshwari, B. K., Truman, K. Z., El Naggar, M. H., & Gould, P. L. (2004). Three-dimensional nonlinear analysis for seismic soil–pile-structure interaction. Soil Dynamics and Earthquake Engineering, 24(4), 343-356. doi: 10.1016/j.soildyn.2004.01.001.
Rovithis, E. N., Pitilakis, K. D., & Mylonakis, G. E. (2009). Seismic analysis of coupled soil-pile-structure systems leading to the definition of a pseudo-natural SSI frequency. Soil Dynamics and Earthquake Engineering, 29(6), 1005-1015. doi: 10.1016/j.soildyn.2008.11.005.
Yingcai, 2008. “Study of vibrating foundations considering soil-pile-structure”, Earthquake Engineering and engineering vibration, Vol. 10.
Han, Y. (2008). Study of vibrating foundations considering soil-pile-structure interaction for practical applications. Earthquake Engineering and Engineering Vibration, 7(3), 321. doi: 10.1007/s11803-008-0873-0.
Han, Y. (2002). Seismic response of tall building considering soil-pile-structure interaction. Earthquake Engineering and Engineering Vibration, 1(1), 57-64. doi: 10.1007/s11803-002-0008-y.
Zou, L., Fang, L., Huang, K., & Wang, L. (2012). Vibration control of soil-structure systems and Pile-Soil-Structure systems. KSCE Journal of Civil Engineering, 16(5), 794-802. doi: 10.1007/s12205-012-1358-2.
Shirgir, V., Ghanbari, A., & Shahrouzi, M. (2016). Natural frequency of single pier bridges considering soil-structure interaction. Journal of Earthquake Engineering, 20(4), 611-632. doi: 10.1080/13632469.2015.1104754.
Amiri, A. M., Ghanbari, A., & Derakhshandi, M. (2018). Analytical Model for Natural Frequency of SDOF System Considering Soil–Pile–Structure Interaction. International Journal of Civil Engineering, 1-13. doi: 10.1007/s40999-018-0284-1.
- There are currently no refbacks.
Copyright (c) 2018 Amir Mohammad Amiri, Ali Ghanbari, Mahdi Derakhshandi
This work is licensed under a Creative Commons Attribution 4.0 International License.