Dynamic response of structures with frequency dependent damping models

Pascual, B. and Adhikari, S.
49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference,Schaumburg, IL, USA, April 2008.

The calculation of dynamic response of multiple-degree-of-freedom linear systems with frequency dependent damping is considered. It is assumed that the damping forces depend on the past history of velocities via convolution integrals over exponentially decaying kernel functions. Exact closed-form expressions for the dynamic response due to general forces and initial conditions are derived in terms of the eigensolutions of the system in the original space. Eigensolutions of the damped system in turn are obtained approximately as functions of the undamped eigensolutions. This enables one to approximately calculate the dynamic response of complex systems with frequency dependent damping by simple post-processing of the undamped eigensolutions. Suitable examples are given to illustrate the derived results.
BiBTeX Entry
@INPROCEEDINGS{cp45,
    AUTHOR={Blanca Pascual and S. Adhikari},
    TITLE={Dynamic response of structures with frequency dependent damping models},
    BOOKTITLE={49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics \& Materials Conference},
    YEAR={2008},
    Address={Schaumburg, IL, USA},
    Month={April},
    Organization={AIAA},
    Note={}
}

by Sondipon Adhikari