### Abstract

A two-degree-of-freedom test structure originally developed to exhibit essentially nonlinear (nonlinearizable) stiffness in one of its connections has been modified to display a variable linear term in parallel with the existing nonlinear spring. This structure will be used in generating data for input to new algorithms for nonlinear system identification. In this paper, we report results from experiments in controlling the linear term introduced by applying an initial tension (preload) to the nonlinear spring, including the estimation of the parameters of a nonlinear force-displacement relation. It is shown that a sufficiently large initial tension results in predominantly linear behavior, meaning the same test setup can be used to produce dynamic behavior ranging from nearly linear to essentially nonlinear.

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

Pages | 1-6 |

Number of pages | 6 |

State | Published - Jul 19 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 | 4 |

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

*Dynamics of Civil Structures - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010*(pp. 1-6). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 4).

**Characterization of a strongly nonlinear laboratory benchmark system.** / McFarland, D. Michael; Vakakis, Alexander F; Bergman, Lawrence; Copeland, Timothy J.

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

*Dynamics of Civil Structures - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010.*Conference Proceedings of the Society for Experimental Mechanics Series, vol. 4, pp. 1-6, 28th IMAC, A Conference on Structural Dynamics, 2010, Jacksonville, FL, United States, 2/1/10.

}

TY - GEN

T1 - Characterization of a strongly nonlinear laboratory benchmark system

AU - McFarland, D. Michael

AU - Vakakis, Alexander F

AU - Bergman, Lawrence

AU - Copeland, Timothy J.

PY - 2011/7/19

Y1 - 2011/7/19

N2 - A two-degree-of-freedom test structure originally developed to exhibit essentially nonlinear (nonlinearizable) stiffness in one of its connections has been modified to display a variable linear term in parallel with the existing nonlinear spring. This structure will be used in generating data for input to new algorithms for nonlinear system identification. In this paper, we report results from experiments in controlling the linear term introduced by applying an initial tension (preload) to the nonlinear spring, including the estimation of the parameters of a nonlinear force-displacement relation. It is shown that a sufficiently large initial tension results in predominantly linear behavior, meaning the same test setup can be used to produce dynamic behavior ranging from nearly linear to essentially nonlinear.

AB - A two-degree-of-freedom test structure originally developed to exhibit essentially nonlinear (nonlinearizable) stiffness in one of its connections has been modified to display a variable linear term in parallel with the existing nonlinear spring. This structure will be used in generating data for input to new algorithms for nonlinear system identification. In this paper, we report results from experiments in controlling the linear term introduced by applying an initial tension (preload) to the nonlinear spring, including the estimation of the parameters of a nonlinear force-displacement relation. It is shown that a sufficiently large initial tension results in predominantly linear behavior, meaning the same test setup can be used to produce dynamic behavior ranging from nearly linear to essentially nonlinear.

UR - http://www.scopus.com/inward/record.url?scp=79960289528&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960289528&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960289528

SN - 9781441998309

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 1

EP - 6

BT - Dynamics of Civil Structures - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010

ER -