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.
Recommended Citation
L. Q. Chen and X. Yang, "Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions," Solid Mechanics and its Applications, Springer Verlag, Jan 2007.
The definitive version is available at https://doi.org/10.1007/978-1-4020-6332-9_22
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.
Publication Date
01 Jan 2007
