A study on the higher mode effect of rocking self-centering tall piers

ZHANG Yuzhi

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (24) : 66-71.

PDF(1088 KB)
PDF(1088 KB)
Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (24) : 66-71.

A study on the higher mode effect of rocking self-centering tall piers

  • ZHANG Yuzhi
Author information +
History +

Abstract

In order to control the higher mode effect on rocking self-centering tall piers, the contribution of higher mode should be assessed quantitatively.Based on comparison of current research methods, a mode decomposition method was adopted to calculate the contribution of higher mode for rocking self-centering tall piers.A new index that can be used to assess the contribution of higher mode during rocking was put forward based on the analysis of current various indexes.Using seven ground motion records for three different intensities as input, the higher mode contribution of a rocking self-centering tall railway bridge pier was studied with two springs rocking model built in OpenSEES.Results show that higher mode contribution increases with the ground motion intensity.Base shear is the most sensitive structural response to higher mode effect and the contribution of the second and third mode is 97% and 27% of the first mode.The contribution of the second mode to the base moment is 34% of the first mode.Pier top displacement is not sensitive to higher mode.The contribution of the second mode to pier top displacement is only 8% of the first mode.

Key words

rocking self-centering tall pier / higher mode effect / mode decomposition method

Cite this article

Download Citations
ZHANG Yuzhi. A study on the higher mode effect of rocking self-centering tall piers[J]. Journal of Vibration and Shock, 2018, 37(24): 66-71

References

[1] Macrae G A, Kawashima K. Post-earthquake residual displacements of bilinear oscillators[J]. Earthquake Engineering and Structural Dynamics. 1997, 26(7): 701-716.
[2] Ruiz-Garcia J, Miranda E. Residual displacement ratios for assessment of existing structures[J]. Earthquake Engineering and Structural Dynamics. 2006, 35(3): 315-336.
[3] Erochko J, Christopoulos C, Tremblay R, et al. Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05[J]. Journal of Structural Engineering. 2011, 137(5): 589-599.
[4] 鲁亮,江乐,李鸿,等. 柱端铰型受控摇摆式钢筋混凝土框架抗震性能的振动台试验研究[J].振动与冲击,2016, 35(04): 193-198+216.
LU Liang, Jiang Le, Li Hong, et al. Shaking table tests for aseismic performance of a controllable rocking reinforced concrete frame with column-end-hinge joints[J]. Journal of vibration and shock,2016, 35(04): 193-198+216.
[5] 鲁亮,刘霞. 一种体外预应力钢筋混凝土摇摆框架抗震性能研究[J]. 振动与冲击,2017,36(09):179-185+252.
Lu Liang, Liu Xia. Aseismic performance of an external prestressed rocking reinforced concrete frame[J]. Journal of vibration and shock, 2017,36(09):179-185+252.
[6] Mander J B, Cheng C T. Seismic resistance of bridge piers based on damage avoidance design.[R]. United States: National Center for Earthquake Engineering Research, 1997: 9-10.
[7] Blakeley R W G, Cooney R C, Megget L M. Seismic shear loading at flexural capacity in cantilever wall structures[J]. Bulletin of the New Zealand Society for Earthquake Engineering. 1975, 8(4): 278-290.
[8] Eberhard M O, Sozen M A. Behavior-based method to determine design shear in earthquake-resistant walls[J]. Journal of structural engineering New York, N.Y. 1993, 119(2): 619-640.
[9] Panagiotou M, Restrepo J I. Displacement-based method of analysis for regular reinforced-concrete wall buildings: Application to a full-scale 7-story building slice tested at UC-San Diego[J]. Journal of Structural Engineering. 2011, 137(6): 677-690.
[10] Ghorbanirenani I, Tremblay R, Leger P, et al. Shake table testing of slender RC shear walls subjected to eastern north america seismic ground motions[J]. Journal of Structural Engineering. 2012, 138(12): 1515-1529.
[11] Wiebe L, Christopoulos C. Mitigation of higher mode effects in base-rocking systems by using multiple rocking sections[J]. Journal of Earthquake Engineering. 2009, 13: 83-108.
[12] Wiebe L, Design of controlled rocking steel frames to limit higher mode effects[D]. Canada: University of Toronto, 2013: 69-73.
[13] Hasan M R, Roke D, Huang Q. Quantification of higher mode responses for steel self-centering concetrically braced frames[C]. Honolulu, HI, United states: Research Publishing Services, 2013: 1-6.
[14] Chopra A K. Dynamics of structures : theory and applications to earthquake engineering [M]. 4th ed. Upper Saddle River N.J.: Prentice Hall, 2012: 514-516.
[15] 夏修身. 铁路高墩抗震设计方法研究[D]. 兰州: 兰州交通大学, 2012: 40-40.
XIA Xiu-shen. Research on seismic design of tall piers for railway bridges[D]. Lanzhou: Lanzhou Jiaotong University, 2012:40-40.
[16] 夏修身,李建中. 近场地震动对桩基础高墩摇摆反应的影响[J]. 哈尔滨工业大学学报,2014,46(04):82-86.
XIA Xiu-shen, Li Jian-zhong. Effect of near-field ground motion on the rocking response of tall pier with pile foundations [J].Journal of Harbin institute of technology, 2014,46(04):82-86.
PDF(1088 KB)

Accesses

Citation

Detail

Sections
Recommended

/