BENDING AND SHEAR DAMPING IN BEAMS - FREQUENCY-DOMAIN ESTIMATION TECHNIQUES

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.