Title

Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions

Abstract

Principal parametric resonance in transverse vibration is investigated for axially accelerating viscoelastic beams constrained by rotating sleeves with torsion springs. The method of multiple scales is applied to calculate the steady-state response. Expression of the amplitude of the steady-state response is derived from the solvability condition of eliminating secular terms. The stability of straight equilibrium and nontrivial steady-state response are analyzed by use of the Lyapunov linearized stability theory. Numerical examples are presented to highlight the effects of speed pulsation, viscoelasticity, and nonlinearity and the stiffness of the torsion spring. © 2007 Springer.

Meeting Name

IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

Department(s)

Mechanical and Aerospace Engineering

Sponsor(s)

International Union of Theoretical and Applied Mechanics (IUTAM)

Keywords and Phrases

Axially Accelerating Beam; Method of Multiple Scales; Parametric Resonance; Principal; Stability; Viscoelasticity

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Springer Verlag, All rights reserved.

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