Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string

作者：Chen LQ^*; Wu J; Zu JW

来源：Nonlinear Dynamics, 2004, 35(4): 347-360.

DOI：10.1023/B:NODY.0000027744.15436.ca

• axially accelerating string
• bifurcation diagram
• Galerkin method
• Poincare map
• viscoelasticity

This paper investigates longtime dynamical behaviors of an axially accelerating viscoelastic string with geometric nonlinearity. Application of Newton's second law leads to a nonlinear partial-differential equation governing transverse motion of the string. The Galerkin method is applied to truncate the partial-differential equation into a set of ordinary differential equations. By use of the Poincare maps, the dynamical behaviors are presented based on the numerical solutions of the ordinary differential equations. The bifurcation diagrams are presented for varying one of the following parameter: the mean transport speed, the amplitude and the frequency of transport speed fluctuation, the string stiffness or the string dynamic viscosity, while other parameters are fixed.

• 出版日期2004-3
• 单位上海大学