### Abstract

The influence of adding a geometrically nonlinear viscous damper to a system of coupled oscillators with essential nonlinear stiffness will be discussed. All nonlinear terms are restricted to the coupling terms between a linear oscillator and light attachment. We show that the addition of the nonlinear damper introduces dynamics not observed with linear damping. In fact, we find the surprising result that the nonlinear damper introduces new dynamics into the problem, and its effect on the dynamics is far from being purely parasitic - as one would expect in the case of weak linear viscous dissipation. Similar to essential nonlinear stiffness, geometrically nonlinear damping of the type considered in our work is physically realizable by means of linear viscous damping elements. Numerical work examining this problem will be discussed.

Original language | English (US) |
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Title of host publication | Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010 |

Pages | 1-7 |

Number of pages | 7 |

State | Published - Aug 15 2011 |

Event | 28th IMAC, A Conference on Structural Dynamics, 2010 - Jacksonville, FL, United States Duration: Feb 1 2010 → Feb 4 2010 |

### Publication series

Name | Conference Proceedings of the Society for Experimental Mechanics Series |
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Volume | 2 |

ISSN (Print) | 2191-5644 |

ISSN (Electronic) | 2191-5652 |

### Other

Other | 28th IMAC, A Conference on Structural Dynamics, 2010 |
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Country | United States |

City | Jacksonville, FL |

Period | 2/1/10 → 2/4/10 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)
- Computational Mechanics
- Mechanical Engineering

### Cite this

*Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010*(pp. 1-7). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 2).

**Dynamics of a system of coupled oscillators with geometrically nonlinear damping.** / Andersen, D. K.; Vakakis, A. F.; Bergman, L. A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010.*Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2, pp. 1-7, 28th IMAC, A Conference on Structural Dynamics, 2010, Jacksonville, FL, United States, 2/1/10.

}

TY - GEN

T1 - Dynamics of a system of coupled oscillators with geometrically nonlinear damping

AU - Andersen, D. K.

AU - Vakakis, A. F.

AU - Bergman, L. A.

PY - 2011/8/15

Y1 - 2011/8/15

N2 - The influence of adding a geometrically nonlinear viscous damper to a system of coupled oscillators with essential nonlinear stiffness will be discussed. All nonlinear terms are restricted to the coupling terms between a linear oscillator and light attachment. We show that the addition of the nonlinear damper introduces dynamics not observed with linear damping. In fact, we find the surprising result that the nonlinear damper introduces new dynamics into the problem, and its effect on the dynamics is far from being purely parasitic - as one would expect in the case of weak linear viscous dissipation. Similar to essential nonlinear stiffness, geometrically nonlinear damping of the type considered in our work is physically realizable by means of linear viscous damping elements. Numerical work examining this problem will be discussed.

AB - The influence of adding a geometrically nonlinear viscous damper to a system of coupled oscillators with essential nonlinear stiffness will be discussed. All nonlinear terms are restricted to the coupling terms between a linear oscillator and light attachment. We show that the addition of the nonlinear damper introduces dynamics not observed with linear damping. In fact, we find the surprising result that the nonlinear damper introduces new dynamics into the problem, and its effect on the dynamics is far from being purely parasitic - as one would expect in the case of weak linear viscous dissipation. Similar to essential nonlinear stiffness, geometrically nonlinear damping of the type considered in our work is physically realizable by means of linear viscous damping elements. Numerical work examining this problem will be discussed.

UR - http://www.scopus.com/inward/record.url?scp=80051486515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80051486515&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:80051486515

SN - 9781441997180

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 1

EP - 7

BT - Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010

ER -