Dynamics of Non-viscously Damped Distributed Parameter Systems
Adhikari, S., Y. Lei and M. I. Friswell,
46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics
& Materials Conference, Austin, Texas, USA, April 2005.
Linear dynamics of Euler-Bernoulli beams with non-viscous
non-local damping is considered. It is assumed that the damping
force at a given point in the beam depends on the past history of
velocities at different points via convolution integrals over
exponentially decaying kernel functions. Conventional viscous and
viscoelastic damping models can be obtained as special cases of
this general damping model. The equation of motion of the beam
with such general damping model results in a linear partial
integro-differential equation. Exact closed-form expressions of
the natural frequencies and mode-shapes of the beam are derived.
The analytical method is capable of handling complex boundary
conditions. Numerical examples are provided to illustrate the new
results.
BiBTeX Entry
@INPROCEEDINGS{cp14,
AUTHOR={S. Adhikari and Y. Lei and M. I. Friswell},
TITLE={Dynamics of non-viscously damped distributed parameter systems},
BOOKTITLE={46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics \& Materials Conference},
YEAR={2005},
Address={Austin, Texas, USA},
Month={April},
Note={}
}
by Sondipon Adhikari