Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions
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.
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
IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Mechanical and Aerospace Engineering
International Union of Theoretical and Applied Mechanics (IUTAM)
Keywords and Phrases
Axially Accelerating Beam; Method of Multiple Scales; Parametric Resonance; Principal; Stability; Viscoelasticity
Article - Conference proceedings
© 2007 Springer Verlag, All rights reserved.
01 Jan 2007