Recursive Computation of Complex Frequencies of Vibrating Non-Viscous Damped Systems (Paper 35)

Autores UPV
Año
CONGRESO Recursive Computation of Complex Frequencies of Vibrating Non-Viscous Damped Systems (Paper 35)

Abstract

In this paper a new method for modeling one-dimensional structures with help of viscously damped systems is presented. The viscoelastic systems are widely used in structural dynamics. The main handicap of these models is the computational cost. This has motivated us to search for simpler and easier models capable of calculating the response with good approximation. In this sense, the viscously damped model is universally accepted as that with those properties. The single-degree of freedom are examined in first place. The essentials of the methodology are described. The extension to multiple-degree of freedom systems is presented as a natural generalization of the previous ones. The proposed equivalent viscous model can be solved with help of the traditional tools, characterized by a much higher computational efficiency, such as the state-space methods or the modal analysis, which are commonly used in dynamical problems. The theoretical results are contrasted with the aid of different numerical examples.