Parametric stability and bifurcations of axially moving viscoelastic beams with time-dependent axial speed

• Autores: Mergen H. Ghayesh, M. Amabili
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 41, Nº. 3, 2013, págs. 359-381
• Idioma: inglés
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• Resumen

  • The subject of this article is the investigation of the transverse vibration response, stability, and bifurcations of an axially moving viscoelastic beam with time-dependent axial speed. The force and moment balances as well as constitutive relations are employed to derive the equation of motion. Due to the presence of the time-dependent axial speed and steady dissipation terms, time-dependent coefficients and nonlinear dissipation terms are generated, respectively. The equation of motion is reduced into a set of coupled nonlinear ordinary differential equations with time-dependent coefficients. The subcritical resonant response of the system is obtained using the pseudo-arclength continuation technique, while the bifurcation diagrams of Poincaré maps are obtained via direct time integration of the discretized equations of motion.