Planar non-linear oscillations of elastic cables under 1/2 and 1/3 subharmonic resonance conditions are studied. In both cases a perturbation analysis is accomplished, with various orderings considered for the damping and excitation parameters. The regions of existence of steady state non-trivial subharmonics, and the frequency-response curves, are determined, as well as stability and domains of attraction of the solutions. A parametric investigation of the dynamic phenomena for technical cables is performed. Results of numerical integration are also presented, and used to discuss the accuracy of the asymptotic solutions and to evaluate the importance of the free secondary component in the system response.
PLANAR NON-LINEAR OSCILLATIONS OF ELASTIC CABLES UNDER SUBHARMONIC RESONANCE CONDITIONS / Rega, Giuseppe; F., Benedettini. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 132:3(1989), pp. 367-381. [10.1016/0022-460x(89)90631-7]
PLANAR NON-LINEAR OSCILLATIONS OF ELASTIC CABLES UNDER SUBHARMONIC RESONANCE CONDITIONS
REGA, GIUSEPPE;
1989
Abstract
Planar non-linear oscillations of elastic cables under 1/2 and 1/3 subharmonic resonance conditions are studied. In both cases a perturbation analysis is accomplished, with various orderings considered for the damping and excitation parameters. The regions of existence of steady state non-trivial subharmonics, and the frequency-response curves, are determined, as well as stability and domains of attraction of the solutions. A parametric investigation of the dynamic phenomena for technical cables is performed. Results of numerical integration are also presented, and used to discuss the accuracy of the asymptotic solutions and to evaluate the importance of the free secondary component in the system response.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
