Abstract of Conference Paper 35

Non-local Models of Stiffness and Damping

Friswell, M. I. and Adhikari, S.
International Conference on Engineering Dynamics, Carvoeiro, Algarve, Portugal, April 2007

Often stiffness and damping is modelled as local, where the force is proportional to the instantaneous displacement and velocity at a given point. Often this model is not sufficient and spatial hysteresis effects must be included in the dynamic analysis of structures. In non-local models, the stiffness and damping force is obtained as a weighted average of the displacement and velocity field over the spatial domain, determined by kernel functions. Approximate solutions for the complex eigenvalues and eigenvectors of beams with non-local stiffness and damping may be obtained using the Galerkin or finite element methods. Numerical examples will demonstrate the efficiency of these methods and highlight the effect on the dynamic response. The source of the non-local effects will be highlighted using a detailed finite element model and model reduction.

BiBTeX Entry

@INPROCEEDINGS{cp35,
    AUTHOR={M. I. Friswell and S. Adhikari},
    TITLE={Non-local Models of Stiffness and Damping},
    BOOKTITLE={International Conference on Engineering Dynamics},
    YEAR={2007},
    Address={Carvoeiro, Algarve, Portugal},
    Month={April},
    Note={}
}

by Sondipon Adhikari