### Abstract

Original language | English |
---|---|

Pages (from-to) | 905-922 |

Number of pages | 18 |

Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Volume | 464 |

Issue number | 2092 |

DOIs | |

Publication status | Published - 8 Apr 2008 |

### Fingerprint

### Keywords

- Structural damping
- Tuning
- Perturbation analysis
- Nonlinear resonance

### Cite this

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*464*(2092), 905-922. https://doi.org/10.1098/rspa.2007.0375

}

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol. 464, no. 2092, pp. 905-922. https://doi.org/10.1098/rspa.2007.0375

**Free and forced motion in an asymmetric liquid-column oscillator.** / Smith, M. J.; Kobine, J.J.; Davidson, F.A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Free and forced motion in an asymmetric liquid-column oscillator

AU - Smith, M. J.

AU - Kobine, J.J.

AU - Davidson, F.A.

PY - 2008/4/8

Y1 - 2008/4/8

N2 - The results of a combined theoretical, numerical and experimental study of liquid oscillations in an asymmetric U-tube are presented. The configuration under investigation is analogous to that of the tuned liquid-column damper used to suppress oscillatory motion in large semi-supported structures. The liquid motion is described by a second-order ordinary differential equation that is nonlinear when the widths of the two vertical columns are unequal. It is shown that this asymmetry can be used as a tuning parameter to determine the natural frequency of free oscillations in the system, in addition to the known tuning effect of the connecting chamber height. The effects of viscous damping and periodic forcing are considered, leading to a description of probable initial and long-term resonance behaviour in a practical asymmetric device.

AB - The results of a combined theoretical, numerical and experimental study of liquid oscillations in an asymmetric U-tube are presented. The configuration under investigation is analogous to that of the tuned liquid-column damper used to suppress oscillatory motion in large semi-supported structures. The liquid motion is described by a second-order ordinary differential equation that is nonlinear when the widths of the two vertical columns are unequal. It is shown that this asymmetry can be used as a tuning parameter to determine the natural frequency of free oscillations in the system, in addition to the known tuning effect of the connecting chamber height. The effects of viscous damping and periodic forcing are considered, leading to a description of probable initial and long-term resonance behaviour in a practical asymmetric device.

KW - Structural damping

KW - Tuning

KW - Perturbation analysis

KW - Nonlinear resonance

U2 - 10.1098/rspa.2007.0375

DO - 10.1098/rspa.2007.0375

M3 - Article

VL - 464

SP - 905

EP - 922

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

IS - 2092

ER -