Characterization of Uncertainty in Damping Modeling
Adhikari, S.
48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics
& Materials Conference, Waikiki, Hawaii USA, April 2007.
The characterization of uncertainty in the damping forces in a
vibrating structure is of significant interest in structural
dynamics. The most common approach is to use a viscous damping
matrix with uncertain coefficients. The viscous damping is not the
only damping model within the scope of linear analysis. Any model
which makes the energy dissipation functional non-negative is a
possible candidate for a valid damping model. There are many
functional forms which can be used as damping models. In this
paper two approaches are proposed to quantify such `model-form
uncertainty' associated with the use of the viscous damping model
(not only the model parameters). The first approach is based on an
ensemble of equivalent damping functions and the second approach
is based on the random matrix theory. The results obtained from
the two methods are compared using numerical examples. It was
observed that the random matrix theory can be used to quantify
damping model uncertainty in some cases.
BiBTeX Entry
@INPROCEEDINGS{cp33,
AUTHOR={S. Adhikari},
TITLE={Characterization of uncertainty in damping modeling},
BOOKTITLE={48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics \& Materials Conference},
YEAR={2007},
Address={Waikiki, Hawaii, USA},
Month={April},
Organization={AIAA},
Note={}
}
by Sondipon Adhikari