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, Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.1923-1926, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1558
  • Doi Numarası: 10.1063/1.4825909
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.1923-1926
  • Anahtar Kelimeler: Axially Moving String, Combination Resonance, Method of Multiple Time Scales
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.