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The energy thresholds of nonlinear vibration absorbers

Frits Petit (UGent) , Mia Loccufier (UGent) and Dirk Aeyels (UGent)
(2013) NONLINEAR DYNAMICS. 74(3). p.755-767
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Abstract
A popular means to mitigate excessive structural vibrations is the attachment of a lightweight spring-mass element, known as a vibration absorber or tuned mass damper. Designing new types of vibration absorbers that outperform the classical linear tuned mass damper is a challenging ongoing research field. This paper focuses on the absorber with a strongly nonlinear spring characteristic. A critical aspect in the design procedure of such nonlinear vibration absorber is the existence of energy thresholds below which no efficient vibration reduction is possible. This paper extends the concept of an energy threshold to a more general parameter threshold representing several threshold values. Two important contributions are obtained. First, one single bifurcation analysis covers every combination of the system parameters. Second, the results are generalized to linear main systems under impulsive load and harmonic load, nonlinear main systems, and general nonlinear spring characteristics.
Keywords
Nonlinear main system, Bifurcation analysis, OSCILLATORS, Energy threshold, Nonlinear vibration absorber

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Please use this url to cite or link to this publication:

MLA
Petit, Frits, Mia Loccufier, and Dirk Aeyels. “The Energy Thresholds of Nonlinear Vibration Absorbers.” NONLINEAR DYNAMICS 74.3 (2013): 755–767. Print.
APA
Petit, F., Loccufier, M., & Aeyels, D. (2013). The energy thresholds of nonlinear vibration absorbers. NONLINEAR DYNAMICS, 74(3), 755–767.
Chicago author-date
Petit, Frits, Mia Loccufier, and Dirk Aeyels. 2013. “The Energy Thresholds of Nonlinear Vibration Absorbers.” Nonlinear Dynamics 74 (3): 755–767.
Chicago author-date (all authors)
Petit, Frits, Mia Loccufier, and Dirk Aeyels. 2013. “The Energy Thresholds of Nonlinear Vibration Absorbers.” Nonlinear Dynamics 74 (3): 755–767.
Vancouver
1.
Petit F, Loccufier M, Aeyels D. The energy thresholds of nonlinear vibration absorbers. NONLINEAR DYNAMICS. 2013;74(3):755–67.
IEEE
[1]
F. Petit, M. Loccufier, and D. Aeyels, “The energy thresholds of nonlinear vibration absorbers,” NONLINEAR DYNAMICS, vol. 74, no. 3, pp. 755–767, 2013.
@article{5332881,
  abstract     = {A popular means to mitigate excessive structural vibrations is the attachment of a lightweight spring-mass element, known as a vibration absorber or tuned mass damper. Designing new types of vibration absorbers that outperform the classical linear tuned mass damper is a challenging ongoing research field. This paper focuses on the absorber with a strongly nonlinear spring characteristic. A critical aspect in the design procedure of such nonlinear vibration absorber is the existence of energy thresholds below which no efficient vibration reduction is possible. This paper extends the concept of an energy threshold to a more general parameter threshold representing several threshold values. Two important contributions are obtained. First, one single bifurcation analysis covers every combination of the system parameters. Second, the results are generalized to linear main systems under impulsive load and harmonic load, nonlinear main systems, and general nonlinear spring characteristics.},
  author       = {Petit, Frits and Loccufier, Mia and Aeyels, Dirk},
  issn         = {0924-090X},
  journal      = {NONLINEAR DYNAMICS},
  keywords     = {Nonlinear main system,Bifurcation analysis,OSCILLATORS,Energy threshold,Nonlinear vibration absorber},
  language     = {eng},
  number       = {3},
  pages        = {755--767},
  title        = {The energy thresholds of nonlinear vibration absorbers},
  url          = {http://dx.doi.org/10.1007/s11071-013-1003-8},
  volume       = {74},
  year         = {2013},
}

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