2017
DOI: 10.1007/s11071-017-3444-y
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The tuned bistable nonlinear energy sink

Abstract: A bistable nonlinear energy sink conceived to mitigate the vibrations of host structural systems is considered in this paper. The hosting structure consists\ud of two coupled symmetric linear oscillators (LOs), and the nonlinear energy sink (NES) is connected to one of them. The peculiar nonlinear dynamics of the resulting three-degree-of-freedom system is analytically described by means of its slow invariant manifold derived from a suitable rescaling, coupled with a harmonic balance procedure, applied to the … Show more

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Cited by 116 publications
(55 citation statements)
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References 27 publications
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“…From (27) we see that the multi-mode description of the system has a form that is very similar to that of the 1DOF example,ẍ − bx (h being the beam width), as to be able to predict at least the frequencies of the first two linear modes. Moreover it is better to increase the buckling even further, as to account for a pres-tress that usually exists in the beam: a higher buckling will decrease its effect on the absorber dynamics.…”
Section: Numerical Model Of the Absorbermentioning
confidence: 82%
See 1 more Smart Citation
“…From (27) we see that the multi-mode description of the system has a form that is very similar to that of the 1DOF example,ẍ − bx (h being the beam width), as to be able to predict at least the frequencies of the first two linear modes. Moreover it is better to increase the buckling even further, as to account for a pres-tress that usually exists in the beam: a higher buckling will decrease its effect on the absorber dynamics.…”
Section: Numerical Model Of the Absorbermentioning
confidence: 82%
“…One of the possible ways to improve current BNES design is to make use of as many regimes as possible. Such attempts to combine different regimes were already taken in [27], where the authors tried to use a low-amplitude linear regime of a bi-stable NES to create a Tuned Mass Hence, the tuning of the two TET regimes is very difficult to achieve. In this context, as the presented BNES possesses extra tuning parameters brought by the attached mass the design can lead to a more efficient Nonlinear Energy Sink.…”
Section: Resultsmentioning
confidence: 99%
“…Possessing a nonlinear restoring force, the NES is able to interact with the primary structure virtually at any frequency [24][25][26]. Similarly, vibro-impact [27,28], visco-hysteretic [29], rotational [30,31], bistable [32][33][34] and other variants of vibration absorbers [35] exploit analogous phenomena, obtaining a broadband energy dissipation. Most of these vibration absorbers share the drawback that their performance strongly depends on the energy level of the system.…”
Section: Introductionmentioning
confidence: 99%
“…Most of these vibration absorbers share the drawback that their performance strongly depends on the energy level of the system. In general, for low energy level they experience a drop in efficiency (although some of the mentioned vibration absorbers partially overcome this limitation [31,34]).…”
Section: Introductionmentioning
confidence: 99%
“…The translational stiffness-based NESs employ an essentially nonlinear (usually cubic) stiffness coupling element to attach the NES mass to a floor in the primary structure [1]. Several enhancements have been proposed to this type where the addition of a linear or nonlinear damping elements [2], additional nonlinearly coupled mass [2][3], additional lateral stiffness elements [4] and negative, unsymmetrical or variable nonlinear stiffness components [5][6][7][8][9][10] are analyzed for increasing the efficiency of the energy transfer and dissipation. Impact-based NESs employ a linearly coupled NES mass in addition to rigid barriers in the motion domain of the NES to engage in non-smooth impacts that integrate the essential nonlinear property required for cascades of resonance captures.…”
Section: Introductionmentioning
confidence: 99%