Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures
Publication: Journal of Engineering Mechanics
Volume 141, Issue 1
Abstract
A new type of nonlinear energy sink (NES), termed a track NES, is proposed in this paper. The shape of the track over which the auxiliary mass moves determines the character of the nonlinear restoring force for the NES. After deriving the equations of motion for the track NES, numerical optimization is carried out for the system implemented in a two-degree-of-freedom primary structure. The optimization results are in the track shape of a fourth-order polynomial. The performance of the track NES is compared with an equivalent tuned mass damper (TMD) and the Type I NES, which utilizes a cubic restoring force. The results of this comparison show that the attenuation observed with the track NES is competitive with the Type I NES and is more robust against changes in the underlying structure than the TMD. Moreover, the track NES is more scalable and offers greater flexibility in prescribing the associated nonlinear restoring force.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors gratefully acknowledge the China Scholarship Council, which supported Jingjing Wang's visit to the University of Illinois at Urbana-Champaign, and the National Natural Science Foundation of China (Grant No. 51261120377) for partial financial support for this paper.
References
AL-Shudeifat, M. A., Wierschem, N., Quinn, D. D., Vakakis, A. F., Bergman, L. A., and Spencer, B. F., Jr. (2013). “Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation.” Int. J. Non Linear Mech., 52(Jun), 96–109.
Aubry, S., Kopidakis, G., Morgante, A. M., and Tsironis, G. P. (2001). “Analytic conditions for targeted energy transfer between nonlinear oscillators or discrete breathers.” Physica B, 296(1–3), 222–236.
Bellet, R., Cochelin, B., Herzog, P., and Mattei, P.-O. (2010). “Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber.” J. Sound Vib., 329(14), 2768–2791.
Cochelin, B., Herzog, P., and Mattei, P.-O. (2006). “Experimental evidence of energy pumping in acoustics.” C. R. Mec., 334(11), 639–644.
Craig, R. R., and Kurdila, A. J. (2006). Fundamentals of structural dynamics, 2nd Ed., Wiley, Hoboken, NJ.
Gendelman, O., Manevitch, L. I., Vakakis, A. F., and M’Closkey, R. (2001). “Energy pumping in nonlinear mechanical oscillators: Part I—Dynamics of the underlying Hamiltonian systems.” J. Appl. Mech., 68(1), 34–41.
Georgiades, F., Vakakis, A. F., and Kerschen, G. (2007). “Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment.” Int. J. Non Linear Mech., 42(5), 773–788.
Kopidakis, G., Aubry, S., and Tsironis, G. P. (2001). “Targeted energy transfer through discrete breathers in nonlinear systems.” Phys. Rev. Lett., 87(16), 165501.
Lee, Y. S., Vakakis, A. F., Bergman, L. A., McFarland, D. M., and Kerschen, G. (2007). “Suppression aeroelastic instability using broadband passive targeted energy transfers, Part 1: Theory.” AIAA J., 45(3), 693–711.
Lee, Y. S., Vakakis, A. F., Bergman, L. A., McFarland, D. M., and Kerschen, G. (2008). “Enhancing the robustness of aeroelastic instability suppression using multi-degree-of-freedom nonlinear energy sinks.” AIAA J., 46(6), 1371–1394.
Luo, J., et al. (2013). “Seismic mitigation performance of multiple nonlinear energy sinks attached to a large-scale nine-story test structure.” Proc., Vienna Congress on Recent Advances in Earthquake Engineering and Structural Dynamics, C. Adam, R. Heuer, W. Lenhardt, and C. Schranz, eds., Vienna Univ. of Technology, Vienna, Austria, Paper No. 284.
Luo, J., et al. (2014). “Realization of a strongly nonlinear vibration-mitigation device using elastomeric bumpers.” J. Eng. Mech., 04014009.
McFarland, D. M., Bergman, L. A., and Vakakis, A. F. (2005). “Experimental study of non-linear energy pumping occurring at a single fast frequency.” Int. J. Non Linear Mech., 40(6), 891–899.
Nili Ahmadabadi, Z., and Khadem, S. E. (2012). “Nonlinear vibration control of a cantilever beam by a nonlinear energy sink.” Mech. Mach. Theory, 50(Apr), 134–149.
Nucera, F., Lo Iacono, F., McFarland, D. M., Bergman, L. A., and Vakakis, A. F. (2008). “Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Experimental results.” J. Sound Vib., 313(1–2), 57–76.
Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., and Kerschen, G. (2007). “Targeted energy transfers in vibro-impact oscillators for seismic mitigation.” Nonlinear Dyn., 50(3), 651–677.
Quinn, D. D., et al. (2012). “Equivalent modal damping, stiffening and energy exchanges in multi-degree-of-freedom systems with strongly nonlinear attachments.” Proc., Inst. Mech. Eng. Part K: J. of Multi-Body Dyn., 226(2), 122–146.
SAC. (1997). “Develop suites of time histories.” 〈http://nisee.berkeley.edu/data/strong_motion/sacsteel/draftreport.html〉 (Jun. 2012).
Sapsis, T. P., Quinn, D. D., Vakakis, A. F., and Bergman, L. A. (2012). “Effective stiffening and damping enhancement of structures with strongly nonlinear local attachments.” J. Vib. Acoust., 134(1), 011016.
Vakakis, A. F., and Gendelman, O. (2001). “Energy pumping in nonlinear mechanical oscillators: Part II—Resonance capture.” J. Appl. Mech., 68(1), 42–48.
Vakakis, A. F., Manevitch, L. I., Gendelman, O., and Bergman, L. (2003). “Dynamics of linear discrete systems connected to local, essentially non-linear attachments.” J. Sound Vib., 264(3), 559–577.
Wierschem, N. E., et al. (2012). “Passive damping enhancement of a two-degree-of-freedom system through a strongly nonlinear two-degree-of-freedom attachment.” J. Sound Vib., 331(25), 5393–5407.
Wierschem, N. E., et al. (2013a). “Experimental blast testing of a large 9-story structure equipped with a system of nonlinear energy sinks.” Proc., Int. Design Engineering Technical Conf. and Computers and Information in Engineering Conf., ASME, New York.
Wierschem, N. E., et al. (2013b). “Experimental testing of a large 9-story structure equipped with multiple nonlinear energy sinks subjected to an impulsive loading.” Proc., Structures Congress 2013: Bridging Your Passion with Your Profession, B. J. Leshko and J. McHugh, eds., ASCE, Reston, VA.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 2, 2014
Accepted: May 12, 2014
Published online: Jun 4, 2014
Published in print: Jan 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.