### Abstract

The first part of the present investigation focuses on the formulation of a novel stochastic model of uncertain properties of media homogenous in the mean which are represented as stationary processes. In keeping with standard spatial discretization methods (e.g. finite elements), the process is discrete. It is further required to exhibit a specified mean, standard deviation, and a global measure of correlation, i.e. correlation length. The specification of the random process is completed by imposing that it yields a maximum of the entropy. If no constraint on the sign of the process exists, the maximum entropy is achieved for a Gaussian process the autocorrelation of which is constructed. The case of a process with constant sign is considered next and an algorithm is formulated to simulate the non-Gaussian process yielding the maximum entropy. In the second part of the paper, this non-Gaussian model is used to represent the uncertain friction coefficient in a simple, lumped mass model of an elastic structure resting on a frictional support. The dynamic response of this uncertain system to a random excitation at its end is studied, focusing in particular on the occurrence of slip and stick.

Original language | English (US) |
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Title of host publication | Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011 |

Publisher | University of Southampton, Institute of Sound Vibration and Research |

Pages | 2626-2633 |

Number of pages | 8 |

ISBN (Print) | 9789076019314 |

State | Published - 2011 |

Event | 8th International Conference on Structural Dynamics, EURODYN 2011 - Leuven, Belgium Duration: Jul 4 2011 → Jul 6 2011 |

### Other

Other | 8th International Conference on Structural Dynamics, EURODYN 2011 |
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Country | Belgium |

City | Leuven |

Period | 7/4/11 → 7/6/11 |

### Keywords

- Microslip
- Random process
- Stick-slip
- Uncertain friction
- Uncertain properties

### ASJC Scopus subject areas

- Hardware and Architecture
- Computer Networks and Communications
- Control and Systems Engineering
- Electrical and Electronic Engineering

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## Cite this

*Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011*(pp. 2626-2633). University of Southampton, Institute of Sound Vibration and Research.