The combination resonance analysis for an axially moving string

Demir D. D., SINIR B. G., Bildik N.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21 - 27 September 2013, vol.1558, pp.1923-1926, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1558
  • Doi Number: 10.1063/1.4825909
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.1923-1926
  • Keywords: Axially Moving String, Combination Resonance, Method of Multiple Time Scales
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, the vibrations of an initially stressed moving string with fractional damping are investigated. Traveling string with two modes are considered and the approximate analytical solutions are obtained by using the method of multiple scales. The stability boundaries are analytically determined. Consequently, it is found that instability appears when the frequency is close to the sum or difference of any two natural frequencies. © 2013 AIP Publishing LLC.