非对称非线性质量阻尼器试验研究及鲁棒性分析

王菁菁1,2,张超3,刘志彬1,李浩博4

振动与冲击 ›› 2022, Vol. 41 ›› Issue (3) : 176-182.

PDF(2395 KB)
PDF(2395 KB)
振动与冲击 ›› 2022, Vol. 41 ›› Issue (3) : 176-182.
论文

非对称非线性质量阻尼器试验研究及鲁棒性分析

  • 王菁菁1,2,张超3,刘志彬1,李浩博4
作者信息 +

Tests and robustness analysis for asymmetric NES

  • WANG Jingjing1,2, ZHANG Chao3, LIU Zhibin1, LI Haobo4
Author information +
文章历史 +

摘要

提出一种新型控制装置——非对称非线性能量阱(非对称NES),以解决调谐质量阻尼器(TMD)对主体结构频率敏感和非线性能量阱(NES)对能量输入敏感的问题。非对称NES以一型NES为基础,将非线性弹簧拉离初始位置,加入线性弹簧与之平衡,所得恢复力具有线性和非线性的综合特点。在某缩尺三层钢框架结构上附加非对称NES进行试验,在脉冲型荷载作用下分析两类受控主体结构的结构响应。并使用经试验验证的数值模型,在某六层主体结构上分别附加非对称NES、TMD和一型NES进行数值研究,对比脉冲型荷载和地震作用下的结构响应。分析结果表明,非对称NES控制性能优越,兼备频率鲁棒性和能量鲁棒性,在输入能量和主体结构频率改变时均展现出良好的控制效果。

Abstract

To address current issues existing in tuned mass dampers (TMDs) and nonlinear energy sinks (NESs), a new type of mass damper, asymmetric nonlinear energy sink (Asym NES) is proposed. Asym NES is configured based on type I NES in which a linear force is introduced at a new force equilibrium position to compensate the nonlinear force, the restoring force of asymmetric NES is, therefore, a combination of linearity and nonlinearity. The Asym NES is experimentally tested on a small-scale three-story steel frame structure under impulsive excitations. The proposed device shows excellent control capacities on different structures. Using the validated numerical model, an Asym, a TMD, and an NES are numerically compared on a six-story primary structure. Structural response comparisons show that Asym NES exhibits effective control capacity in cases of various input energy and decreased structural frequency, demonstrating strong frequency-robustness and energy-robustness.

关键词

结构控制 / 非线性能量阱 / 能量鲁棒性 / 频率鲁棒性 / 数值模拟

Key words

structural control / nonlinear energy sink / energy robustness / frequency robustness / numerical simulation

引用本文

导出引用
王菁菁1,2,张超3,刘志彬1,李浩博4. 非对称非线性质量阻尼器试验研究及鲁棒性分析[J]. 振动与冲击, 2022, 41(3): 176-182
WANG Jingjing1,2, ZHANG Chao3, LIU Zhibin1, LI Haobo4. Tests and robustness analysis for asymmetric NES[J]. Journal of Vibration and Shock, 2022, 41(3): 176-182

参考文献

[1] SPENCER B F, NAGARAJAIAH S. State of the art in structural control[J]. Journal of Structural Engineering. 2003,129(7):845-856.
[2] 李春祥,刘艳霞,王肇民. 质量阻尼器的发展[J]. 力学进展,2003,33(2):194-206.
LI Chunxiang,LIU Yanxia, WANG Zhaomin. A review on mass dampers[J]. Advances in Mechanics,2003,33(2):194-206.
[3] 李创第,黄天立,李暾,等. TMD控制优化设计及振动台试验研究[J]. 土木工程学报,2006,39(7):19-25.
LI Chuangdi,HUANG Tianli,LI Tun,et al. Optimal TMD design and shaking table test[J]. China Civil Engineering Journal,2006,39(7):19-25.
[4] 秦丽,李业学,徐福卫. TMD对结构地震响应控制效果的研究[J]. 世界地震工程,2010,26(1):202-206.
QIN Li,LI Yexue,XU Fuwei. Research on control effectiveness of TMD to structural seismic response[J]. World Earthquake Engineering,2010,26(1):202-206.
[5] SUN C, EASON R P, NAGARAJAIAH S, et al. Hardening düffing oscillator attenuation using a nonlinear TMD, a semi-active TMD and multiple TMD [J]. Journal of Sound and Vibration,2013,332(4):674–686.
[6] XU K, IGUSA T. Dynamic characteristics of multiple substructures with closely spaced frequencies[J]. Engineering and Structural Dynamics,1992,21(12):1059-1070.
[7] 王梁坤,施卫星,严俊,等. 自调频TMD及其减振效果的数值模拟[J]. 结构工程师,2017,33(4):147-153.
WANG Liangkun,SHI Weixing,YAN Jun,et al. The semi-adaptive tuned mass damper and the numerical simulation of effect on controlling vibration[J]. Structural Engineerings,2017,33(4):147-153.
[8] VAKAKIS A F.Inducing passive nonlinear energy sinks in vibrating systems[J].Journal of Vibration and Acoustics, 2001,123( 3):324-332.
[9] MCFARLAND D M, KERSCHEN G, KOWTKO J J, et al. Experimental investigation of targeted energy transfers in strongly and nonlinearly coupled oscillators[J]. Journal of the Acoustical Society of America. 2005,118(2):791-799.
[10] VAURIGAUD B, TURE SAVADKOOHI A, LAMARQUE C H. Targeted energy transfer with parallel nonlinear energy sinks. Part I: Design theory and numerical results[J]. Nonlinear Dynamics,2011,66(4):763-780.
[11] TURE SAVADKOOHI A, VAURIGAUD B, LAMARQUE, et al. Targeted energy transfer with parallel nonlinear energy sinks, Part II: Theory and experiments[J]. Nonlinear Dynamics,2012,67(1):37-46.
[12] WIERSCHEM N E, SPENCER B F, BERGMAN L A, et al. Numerical study of nonlinear energy sinks for seismic response reduction[C] // The 6th International Workshop on Advanced Smart Materials and Smart Structures Technology, Dalian. 2011:25-26,China.
[13] WIERSCHEM N E, LUO J, AL-SHUDEIFAT M A, et al. Simulation and testing of a 6-story structure incorporating a coupled two mass nonlinear energy sink[C] // International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. Chicago, 2012. USA.
[14] LUO J, WIERSCHEM N E, HUBBARD S, et al. Large-scale experimental evaluation of a system of nonlinear energy sinks for seismic mitigation[J]. Engineering Structures, 2014,77:34-48.
[15] WANG J, WIERSCHEM N E, SPENCER B F, et al. Experimental study of track nonlinear energy sinks for dynamic response reduction[J]. Engineering Structures,2015,94:9-15.
[16] WANG J, WIERSCHEM N E, SPENCER B F, et al. Numerical and experimental study of the performance of a single-sided vibro-impact track nonlinear energy sink[J]. Earthquake Engineering & Structural Dynamics,2016,45: 635-652.
[17] WANG J, WIERSCHEM N E, SPENCER B F, et al. Track nonlinear energy sink for rapid response reduction in building structures[J]. ASCE Journal of Engineering Mechanics,2015,141(1):04014104.
[18] 刘良坤,谭平,闫维明,等. 一种NES与TMD的混合控制方案研究[J]. 工程力学,2017,34(9):64-72,82.
LIU Liangkun,TAN Ping,YAN Weiming,et al. Analysis of a hybrid scheme comprised of nonlinear energy sink and tuned mass damper[J]. Engineering Mechanics,2017,34(9):64-72,82.
[19] 王菁菁,刘志彬,浩文明,等.线性-非线性联合质量阻尼器减震性能分析[J].结构工程师,2018,34(S1):67-75.
WANG Jingjing, LIU Zhibin, HAO Wenming, et al.  Seismic response control with nonlinear-linear single-mass damper[J]. Structural Engineers,2018,34(S1):67-75.
[20] 王菁菁,刘志彬,浩文明.非线性-线性联合结构控制方法减震性能研究[J].振动与冲击,2019,38(12):32-38.
WANG Jingjing, LIU Zhibin, HAO Wenming, et al. Innovative nonlinear-linear structural control methods for seismic response reduction[J]. Journal of Vibration and Snock,2019,38(12):32-38.
[21] DE DOMENICO D, FALSONE G, RICCIARDI G. Improved response-spectrum analysis of base-isolated buildings: a substructure-based response spectrum method[J]. Eng Struct, 2018,162:198–212.
[22] NEHRP recommended seismic provisions: design examples:FEMA P-751. 2009 [S]. Washington,DC:Federal Emergency Management Agency,2012.
[23] TSAI H C, LIN G C. Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped structures[J]. Earthquake Engineering & Structural Dynamics,1993,22(11):957-973.

PDF(2395 KB)

Accesses

Citation

Detail

段落导航
相关文章

/