×

Dynamics of a linear beam with an attached local nonlinear energy sink. (English) Zbl 1110.74037

Summary: We provide numerical evidence of passive and broadband targeted energy transfer from a linear flexible beam under shock excitation to a local essentially nonlinear lightweight attachment that acts, in essence, as nonlinear energy sink (NES). It is shown that the NES absorbs shock energy in a one-way irreversible fashion, and dissipates this energy locally without ‘spreading’ it back to the linear beam. Moreover, we show numerically that an appropriately designed and placed NES can passively absorb and locally dissipate a major portion of the shock energy of the beam, up to an optimal value of 87%. The implementation of the NES concept to the shock isolation of practical engineering structures and to other applications is discussed.

MSC:

74J40 Shocks and related discontinuities in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
PDF BibTeX XML Cite
Full Text: DOI Link

References:

[1] Vakakis, A.F.; Manevitch, L.I.; Gendelman, O.; Bergman, L., Dynamics of linear discrete systems connected to local essentially nonlinear attachments, J sound vibr, 264, 559-577, (2003)
[2] Panagopoulos, P.N.; Vakakis, A.F.; Tsakirtzis, S., Transient resonant interactions of linear chains with essentially nonlinear end attachments leading to passive energy pumping, Int J solids sruct, 41, 22-23, 6505-6528, (2004) · Zbl 1086.70010
[3] Quinn, D.; Rand, R.H., The dynamics of resonance capture, Nonlinear dyn, 8, 1-20, (1995)
[4] Quinn, D., Resonance capture in a three degree of freedom mechanical system, Nonlinear dyn, 14, 309-333, (1997) · Zbl 0917.70021
[5] Lee, Y.S.; Kerschen, G.; Vakakis, A.F.; Panagopoulos, P.N.; Bergman, L.A.; McFarland, D.M., Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment, Physica D, 204, 1-2, 41-69, (2005) · Zbl 1179.70013
[6] Kerschen G, Lee YS, Vakakis AF, McFarland DM, Bergman LA. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity, SIAM J Appl Math, in press. · Zbl 1130.74386
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.