Innovative nonlinear-linear structural control methods for seismic response reduction

PDF(2647 KB)

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (12) : 32-38.

WANG Jingjing, LIU Zhibin, HAO Wenming

Author information +

History +

Abstract

Tuned mass dampers (TMDs) are an effective structural control method with weak robustness against frequency changes.Nonlinear energy sinks (NESs) are frequency-robust but dependent on the input energy level for optimal control capacity.Two types of nonlinear-linear combined structural control methods including single-mass dampers and dual-mass dampers were proposed.Numerical models of a two-degree-of-freedom primary structure with different control devices attached respectively were constructed based on their equations of motion.The single-mass damper and dual-mass damper were optimized under impulsive excitations.The results show that the two combined methods exhibit similar effectiveness as an optimized TMD and NES and are able to maintain a relatively high robustness against the changes of frequency and energy level.Furthermore, the single-mass and dual-mass dampers can better reduce the structural responses under the earthquakes than both linear and nonlinear methods considering the uncertainty in input energy level and the frequency change in the primary structure.

Key words

structural control / combined control / nonlinear energy sink / seismic response / numerical simulation

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

WANG Jingjing, LIU Zhibin, HAO Wenming. Innovative nonlinear-linear structural control methods for seismic response reduction[J]. Journal of Vibration and Shock, 2019, 38(12): 32-38

References

[1] Spencer B F, Nagarajaiah S. State of the Art in Structural Control[J]. Journal of Structural Engineering, 2003, 129(7): 845–856.
[2] Sadek F, Mohraz B, Taylor A W, et al. A Method of Estimating the Parameters of Tuned Mass Dampers for Seismic Applications[J]. Earthquake Engineering & Structural Dynamics, 1997, 26(6): 617-635.
[3] Soto-Brito R, Ruiz S E. Influence of Ground Motion Intensity on the Effectiveness of Tuned Mass Dampers[J]. Earthquake Engineering & Structural Dynamics, 1999, 28(11): 1255-1271.
[4] 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.
[5] 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.
[6] Vaurigaud B, Ture S A, and Savadkoohi 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.
[7] Ture Savadkoohi A., Vaurigaud B., Lamarque C.H., et al. Targeted Energy Transfer with Parallel Nonlinear Energy Sinks, part II: Theory and Experiments[J]. Nonlinear Dynamics, 2012, 67(1) : 37-46.
[8] Wierschem N E, Spencer Jr 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.
[9] Wierschem N E, LUO Jie, 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.
[10] LUO Jie, 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.
[11] WANG Jingjing, Wierschem N E, Spencer B F, et al. Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures[J]. Journal of Engineering Mechanics, ASCE, 2015, 141(1): 04014104.
[12] WANG Jingjing, 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.
[13] McFarland D M, Bergman L A, Vakakis A F. Experimental Study of Non-linear Energy Pumping Occurring at a Single Fast Frequency[J]. International Journal of Non-Linear Mechanics, 2005, 40(6): 891-899.
[14] WANG Jingjing, 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.
[15] 王菁菁，浩文明，吕西林. 轨道非线性能量阱阻尼对其减振性能的影响[J]. 振动与冲击，2017, 36 (24): 23-29.
WANG Jingjing, HAO Wenming, LV Xilin. The influence of the nonlinear energy sink damping on the vibration reduction performance[J]. Journal of Vibration and Shock, 2017, 36 (24): 23-29.
[16] WANG Jingjing, LIU Zhibin, HAO Wenming, et al. Combined Linear and Nonlinear Structural Control Strategies for Seismic Response Mitigation[C] // The 13th International Workshop on Advanced Smart Materials and Smart Structures Technology. Tokyo, July 22-23, 2017.
[17] 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(09):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(09): 64-72+82.