Large-amplitude vibration of the geometrically imperfect FGM truncated conical shell

Sofiyev A., Kuruoglu N.

JVC/Journal of Vibration and Control, cilt.21, sa.1, ss.142-156, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1177/1077546313480998
  • Dergi Adı: JVC/Journal of Vibration and Control
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.142-156
  • Anahtar Kelimeler: dimensionless nonlinear frequency parameter, FGMs, frequency ratio, initial geometric imperfection, Nonlinear vibration, truncated conical shell
  • İstanbul Ticaret Üniversitesi Adresli: Hayır

Özet

In this study, the large-amplitude vibration of a functionally graded (FG) truncated conical shell with an initial geometric imperfection has been investigated using large deformation theory with a von Karman-Donnell type of kinematic nonlinearity. The material properties of an FG truncated conical shell are assumed to vary continuously through the thickness. The fundamental relations, the modified Donnell-type nonlinear motion, and compatibility equations of the FG truncated conical shell with an initial geometric imperfection are derived. The relation between nonlinear frequency parameters with the dimensionless amplitude of imperfect FG truncated conical shells is obtained. Finally, the influences of variations of the initial geometric imperfection, compositional profiles, and shell characteristics on the dimensionless nonlinear frequency parameter and frequency-amplitude relations are investigated. The present results are compared with the available data for a special case.