Approximate solutions of axially moving viscoelastic beams subject to multi-frequency excitations

作者：Yang Tian zhi^*; Fang Bo; Chen Yang; Zhen Ya xin

来源：International Journal of Non-Linear Mechanics, 2009, 44(2): 230-238.

DOI：10.1016/j.ijnonlinmec.2008.11.013

• Axially moving beams
• Multi-frequency excitations
• Transverse vibration
• Approximate analytical solution

Approximate solutions of axially moving viscoelastic beams subject to multi-frequency excitations are presented. A non-linear partial-differential equation governing the transverse vibration of the beams is derived from Newton's second law, the Kelvin constitutive relationship. and the Lagrangian strain. Based on 1-term Galerkin's truncation. the governing equation is reduced to an ordinary differential equation. three cases, including superharmonic resonance case, subharmonic resonance, and combination resonance are studied. The approximate solutions of the transverse vibration of the beams are obtained. Numerical results show that the approximate solutions are in good agreement with numerical results.

• 出版日期2009-3
• 单位哈尔滨工业大学