"The Kelvin-Voigt and Standard visco-elastic model are used to analyze the linear dynamics of elementary. systems and unshearable beams. It is shown that, although the dynamics of a Standard. model structure develops itself in larger-dimensional state-space with respect to its Kelvin-Voigt. counterpart, it possesses an Invariant Subspace of the same dimensions of the simpler model, which. is attractive of the orbits, when time goes to infinity. By reducing the forced dynamics to this Invariant. Subspace, an equivalent Standard model is obtained. Based on the equivalence, a practical rule. is given, to compare stiffness and damping of the two models."
Dynamic modelling of visco-elastic beams
LUONGO, Angelo;D'ANNIBALE, FRANCESCO
2011-01-01
Abstract
"The Kelvin-Voigt and Standard visco-elastic model are used to analyze the linear dynamics of elementary. systems and unshearable beams. It is shown that, although the dynamics of a Standard. model structure develops itself in larger-dimensional state-space with respect to its Kelvin-Voigt. counterpart, it possesses an Invariant Subspace of the same dimensions of the simpler model, which. is attractive of the orbits, when time goes to infinity. By reducing the forced dynamics to this Invariant. Subspace, an equivalent Standard model is obtained. Based on the equivalence, a practical rule. is given, to compare stiffness and damping of the two models."Pubblicazioni consigliate
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