## Abstract

We elaborate a SDOF time-domain model for elastic hysteretic damping, by modifying the viscous damping model to introduce an instantaneous correction factor that recursively depends on the state variables of the system, such that the response exhibits weak dependency on frequency, corresponding to a large array of engineering materials. The effect of different formulations for calculating the instantaneous correction factor on the predicted hysteresis loops and the potential manifestation of singularities is studied. Hysteresis loops anticipated by the model are plotted and forced vibration responses to harmonic and other periodic non-harmonic excitations are simulated and discussed, also in comparison to the conventional viscous and Reid’s damping models.

Original language | English |
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Pages (from-to) | 4637-4647 |

Number of pages | 11 |

Journal | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |

Volume | 235 |

Issue number | 20 |

DOIs | |

Publication status | Published - Oct 2021 |

Externally published | Yes |

## Keywords

- damping
- dynamics
- Hysteresis
- non-harmonic excitation
- non-linear modelling
- time-domain
- vibration

## ASJC Scopus subject areas

- Mechanical Engineering