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Titolo: DETERMINISTIC AND STOCHASTIC RESPONSE OF NONLINEAR COUPLED BENDINGTORSION MODES IN A CANTILEVER BEAM
Autore: IBRAHIM RA; HIJAWI M;
 Indirizzi:
 WAYNE STATE UNIV,DEPT MECH ENGN DETROIT MI 48202
 Titolo Testata:
 Nonlinear dynamics
fascicolo: 3,
volume: 16,
anno: 1998,
pagine: 259  292
 SICI:
 0924090X(1998)16:3<259:DASRON>2.0.ZU;28
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 STABILITY; RESONANCE; DYNAMICS; SYSTEMS;
 Keywords:
 BEAMS; NONLINEAR BENDINGTORSION DYNAMICS; PARAMETRIC EXCITATION; STOCHASTIC STABILITY; MONTE CARLO SIMULATION;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Science Citation Index Expanded
 Science Citation Index Expanded
 Citazioni:
 24
 Recensione:
 Indirizzi per estratti:



 Citazione:
 R.A. Ibrahim e M. Hijawi, "DETERMINISTIC AND STOCHASTIC RESPONSE OF NONLINEAR COUPLED BENDINGTORSION MODES IN A CANTILEVER BEAM", Nonlinear dynamics, 16(3), 1998, pp. 259292
Abstract
The purpose of this study is to understand the main differences between the deterministic and random response characteristics of an inextensible cantilever beam (with a tip mass) in the neighborhood of combination parametric resonance. The excitation is applied in the plane of largest rigidity such that the bending and torsion modes are crosscoupled through the excitation. In the absence of excitation, the two modes are also coupled due to inertia nonlinearities. For sinusoidal parametric excitation, the beam experiences instability in the neighborhoodof the combination parametric resonance of the summed type, i.e., when the excitation frequency is in the neighborhood of the sum of the first bending and torsion natural frequencies. The dependence of the response amplitude on the excitation level reveals three distinct regions: nearly linear behavior, jump phenomena, and energy transfer. In the absence of nonlinear coupling, the stochastic stability boundaries areobtained in terms of sample Lyapunov exponent. The response statistics are estimated using Monte Carlo simulation, and measured experimentally. The excitation center frequency is selected to be close to the sum of the bending and torsion mode frequencies. The beam is found to experience a single response, two possible responses, or nonstationary responses, depending on excitation level. Experimentally, it is possible to obtain two different responses for the same excitation level by providing a small perturbation to the beam during the test.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 24/09/20 alle ore 05:18:49