[1] Yang Xiaoyan, Wu Jing, Pang Xixi, Wang Qiang, et al. Higher mode effects in hinged wall with BRBsin base-frame structures using distributed parameter models [J]. Journal of Southeast University (English Edition), 2020, 36 (1): 56-66. [doi:10.3969/j.issn.1003-7985.2020.01.008]

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Higher mode effects in hinged wall with BRBsin base-frame structures using distributed parameter models()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

36

Issue:

2020 1

Page:

56-66

Research Field:

Civil Engineering

Publishing date:

2020-03-20

Info

Title:

Higher mode effects in hinged wall with BRBsin base-frame structures using distributed parameter models

Author(s):

Yang Xiaoyan¹;  Wu Jing¹;  Pang Xixi²;  Wang Qiang³;  Zhang Meng⁴

¹Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 211189, China
²Xuzhou Survey and Design Center, State Grid Economic and Technological Research Institute Co., Ltd., Xuzhou 221005, China
³Hong Kong Huayi Design Consultants(Shenzhen)Ltd., Shenzhen 518057, China
⁴Baosheng Integrated System Technology Co. Ltd., Baoying 225000, China

Keywords:

hinged wall;  higher mode effects;  flexural beam;  rotational spring;  rotational stiffness ratio

PACS:

TU352.1

DOI:

10.3969/j.issn.1003-7985.2020.01.008

Abstract:

To investigate the effect of higher modes on the displacement and inner forces in HWBB(hinged wall with buckling-restrained braces in base)-frame structure, distributed parameter models for both the HWBB-hinged frame structure and the HWBB-MRF(moment resisting frame)structure are built. The hinged wall is simplified as a flexural beam. BRBs(bucking-restrained braces)are simplified to a rotational spring. MRF is simplified to a shear beam. Vibration equations of distributed parameter models are derived. Natural periods, natural modes of vibration, inner forces and displacements of the distributed parameter models are derived based on the vibration equations using numerical methods. The effect of the relative stiffness ratio and the rotational stiffness ratio on the higher mode effects is investigated. For elastic structures, the global displacement and shear in MRF are predominantly controlled by the first mode, while the shear and bending moment in the wall are significantly affected by higher mode effects. The effect of the yielding of BRB on the inner forces distribution in the HWBB-hinged frame is investigated. The results indicate that the first mode will no longer contribute to the inner forces and the contribution from higher modes to inner forces increases after the BRBs yield. Displacement is not sensitive to higher mode effects and it is controlled by the first mode after the BRBs yield. Parameter analysis demonstrates that the displacement amplitudes are reduced with the increase in the flexural stiffness of the wall before the flexural stiffness reaches a certain value. The first three periods decrease with the increase in the rotational stiffness. With the increase in the rotational stiffness ratio, the contribution from the first mode decreases while contributions from both the second mode and third mode increase.

References:

[1] Alavi B, Krawinkler H. Strengthening of moment-resisting frame structures against near-fault ground motion effects [J]. Earthquake Engineering and Structural Dynamics, 2004, 33(6): 707-722. DOI:10.1002/eqe.370.
[2] Wada A, Qu Z, Ito H, et al. Seismic retrofit using rocking walls and steel dampers [C]//ATC and SEI Conference on Improving the Seismic Performance of Existing Buildings and Other Structures. San Francisco, USA, 2009: 1010-1021.
[3] Wada A, Qu Z, Sakata H. Seismic retrofit of existing SRC frames using rocking walls and steel dampers [J]. Frontiers of Architecture and Civil Engineering in China, 2011, 5(3): 259-266. DOI:10.1007/s11709-011-0114-x. (in Chinese)
[4] Qu Z, Wada A, Motoyui S, et al. Pin-supported walls for enhancing the seismic performance of building structures [J]. Earthquake Engineering and Structural Dynamics, 2012, 41(14): 2075- 2091.DOI:10.1002/eqe.2175.
[5] Janhunen B, Tipping S, Mar T. Seismic retrofit of a 1960s steel moment-frame highrise using a pivoting spine [C]//Proceedings of the Structural Engineering Association of California 82nd Annual Convention. San Diego, USA, 2013: 320-336.
[6] Makris N, Aghagholizadeh M. The dynamics of an elastic structure coupled with a rocking wall [J]. Earthquake Engineering and Structural Dynamics, 2017, 46(6): 945-962. DOI:10.1002/eqe.2838.
[7] Kurama Y, Sause R, Pessiki S. Lateral load behavior and seismic design of unbonded post-tensioned precast concrete walls [J]. ACI Structural Journal, 1999, 96(4):622-632. DOI:10.14359/700.
[8] Takeuchi T, Suzuki K. Performance-based design for truss-frame structures using energy dissipation devices [C]//Proceedings of the 4th International Conference on Behavior of Steel Structures in Seismic Areas. Naples, Italy, 2003: 55- 61.
[9] Takeuchi T, Chen X, Matsui R. Seismic performance of controlled spine frames with energy-dissipating members [J]. Journal of Constructional Steel Research, 2015, 114: 51-65. DOI:10.1016/j.jcsr.2015.07.002.
[10] Chen X, Takeuchi T, Matsui R. Simplified design procedure for controlled spine frames with energy-dissipating members [J]. Journal of Constructional Steel Research, 2017, 135: 242-252. DOI:10.1016/j.jcsr.2017.04.017.
[11] Chen X, Takeuchi T, Matsui R. Seismic performance and evaluation of controlled spine frames applied in high-rise buildings [J]. Earthquake Spectra, 2018, 34(3): 1431-1458.DOI:10.1193/080817eqs157m.
[12] Djojo G S, Clifton G C, Henry R S, et al. Experimental testing of a double acting ring spring system for use in rocking steel shear walls [C]//8th International Conference on Behavior of Steel Structures in Seismic Areas. Shanghai, China, 2015: 1245-1252.
[13] Du Y F, Wu D Y. Performance analysis of light energy dissipative rocking frame designed on the basis of stiffness demand [J]. China Civil Engineering Journal, 2014, 47(1): 24-35. DOI:10.15951/j.tmgcxb.2014.01.006. (in Chinese)
[14] 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(sup1): 83-108. DOI:10.1080/13632460902813315.
[15] Wu S J, Pan P, Zhang D B. Higher mode effects in frame pin-supported wall structure by using a distributed model [J]. Earthquake Engineering and Structural Dynamics, 2016, 45(14): 2371-2387.DOI:10.1002/eqe.2766.
[16] Grigorian C E, Grigorian M. Performance control and efficient design of rocking-wall moment frames[J]. Journal of Structural Engineering, 2016, 142(2): 04015139. DOI:10.1061/(asce)st.1943-541x.0001411.
[17] Grigorian M, Grigorian C. An introduction to the structural design of rocking wall-frames with a view to collapse prevention, self-alignment and repairability [J]. The Structural Design of Tall and Special Buildings, 2016, 25(2): 93-111.DOI:10.1002/tal.1230.
[18] Grigorian M, Grigorian C E. Sustainable earthquake-resisting system [J]. Journal of Structural Engineering, 2018, 144(2): 04017199.DOI:10.1061/(asce)st.1943-541x.0001900.
[19] Nima R, Moghadam A S, Aziminejad A. Continuum analysis approach for rocking core-moment frames [J]. Journal of Structural Engineering, 2018, 144(3): 04018006. DOI:10.1061/(asce)st.1943-541x.0001986.
[20] Wiebe L, Christopoulos C. A cantilever beam analogy for quantifying higher mode effects in multistorey buildings[J]. Earthquake Engineering & Structural Dynamics, 2015, 44: 1697-1716.DOI:10.1002/eqe.2549.
[21] Yang X Y, Wu J, Zhang J, et al. Post-yielding behavior of hinge-supported wall with buckling-restrained braces in base [J]. Journal of Earthquake and Tsunami, 2019, 13(3/4): 1940003.DOI:10.1142/s1793431119400037.
[22] Wang X T, Wang T, Qu Z. An experimental study of a damage-controllable plastic hinge-supported wall structure [J]. Earthquake Engineering and Structural Dynamics, 2018, 47(3): 594-612. DOI:10.1002/eqe.2981.
[23] Yang X Y, Feng Y L, Wu J, et al. Experimental study on seismic performance of hinged truss with buckling-restrained braces at base [J]. Journal of Southeast University(Natural Science Edition), 2018, 48(2): 303-309.(in Chinese)
[24] Clough R W, Penzien J. Dynamics of structures[M]. 3rd eds. Berkeley, CA, USA: Computer & Structures, Inc, 1995.
[25] Chopra A K. Dynamics of structures: Theory and applications to earthquake engineering[M]. Upper Saddle River, NJ, USA: Prentice Hall, 2007.
[26] Ministry of Housing and Urban-Rural Development of the People’s Republic of China. GB 50011—2010 Code for seismic design of Buildings [S]. Beijing: China Architecture and Building Press, 2010.(in Chinese)

Memo

Memo:

Biographies: Yang Xiaoyan(1990—), female, Ph.D. candidate; Wu Jing(corresponding author), male, doctor, professor, seuwj@seu.edu.cn.
Foundation items: The National Key Research and Development Program of China(No.2018YFC0705802), the National Natural Science Foundation of China(No.51978165), the Fundamental Research Funds for the Central Universities(No.3205007720), Postgraduate Research and Practice Innovation Program of Jiangsu Province(No.3205007720).
Citation: Yang Xiaoyan, Wu Jing, Pang Xixi, et al.Higher mode effects in hinged wall with BRBs in base-frame structures using distributed parameter models[J].Journal of Southeast University(English Edition), 2020, 36(1):56-66.DOI:10.3969/j.issn.1003-7985.2020.01.008.

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