Ht. Banks et al., BENDING AND SHEAR DAMPING IN BEAMS - FREQUENCY-DOMAIN ESTIMATION TECHNIQUES, Journal of vibration and acoustics, 116(2), 1994, pp. 188-197
In this paper we consider damping mechanisms in the context of dynamic
beam models. We summarize previous efforts on various damping models
(strain rate or Kelvin-Voigt, time hysteresis (Boltzmann), spatial hys
teresis, bending rate/square root) for the Euler-Bernoulli beam theory
. The Euler-Bernoulli theorY is known to be inadequate for experiments
in which high frequency modes have been excited. In such cases the Ti
moshenko theory may be more appropriate; we consider a number of dampi
ng hypotheses for this theory. Corresponding models are proposed and c
ompared to experimental data in the context of parameter estimation or
identification problems formulated in the frequency domain. Theoretic
al results related to the convergence of approximations to these infin
ite dimensional distributed parameter system estimation problems are p
resented. Associated computational findings for specific beam experime
nts are discussed.