Dynamics

Multilayer beams

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Dynamics

A. Luongo, A. Paolone, A. Di Egidio, ‘Sensitivity and Linear Stability Analysis Around a Double Zero Eigenvalues’, AIAA Journal, vol. 38, no. 4, 2000, pp. 702-710.

A. Luongo, A. Paolone, A. Di Egidio, ‘Qualitative Analysis for Multiresonant Systems: II. A Geometrical Method’, Acta Meccanica, vol. 174, n. 1-2, pp. 109-124, 2005

The behaviour of a cable-satellite system in several internal resonance condition has been analyzed and the resonant dynamics studied in detail.

In the field of the sensitivity analysis of the spectral proprierties of linear systems, a general procedure that make possible to analyze the eigenvalues and the eigenvectors sensitivity of conservative systems, also in the case of multiple eigenvalues, has been developed.

Refering to the use of the Multiple Scale Method for the study of the dynamics of resonant systems, a procedure able to identify the standard form of the modulation equations with the aim to make possible the study of the steady-state solutions and of their stability, has been developed.

The structure of the modulation equations has been also studied in deep. Some algorithms and theorems able to to furnish, only by the knowledge of the resonant conditions, the formal structure of the equations, the classes of motion admitted by the system and other informations regarding the stability of these solutions, have been proposed. An analytical and a graphical approach have been developed to reach the goal.