Bifurcation and Chaos of slightly curved pipes

SINIR B. G.

Mathematical and Computational Applications, cilt.15, sa.3, ss.490-502, 2010 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3390/mca15030490
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.490-502
  • Anahtar Kelimeler: Slightly curved pipe, conveying fluid, nonlinear vibration, Galerkin method, bifurcation
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Non-linear vibrations of slightly curved pipes conveying fluid with constant velocity are investigated. The curvature is taken as an arbitrary function of the spatial variable. The initial displacement is considered due to the geometry of the pipe itself. The ends of the curved pipe are assumed to be immovable simple supports. The equations of motion of pipes are derived using Hamilton's principle and solved by Galerkin method. The bifurcation diagrams are presented for various amplitudes of the curvature function and fluid velocity. The periodic and chaotic motions have been observed in the transverse vibrations of slightly curved pipe conveying fluid. © Association for Scientific Research.