Effects of an edge crack on the free vibration and lateral buckling of a cantilever laminated composite slender beam

Karaagac C., ÖZTÜRK H., Sabuncu M.

JOURNAL OF VIBRATION AND CONTROL, cilt.19, sa.16, ss.2506-2522, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 16
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1177/1077546312458307
  • Dergi Adı: JOURNAL OF VIBRATION AND CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2506-2522
  • Anahtar Kelimeler: Buckling load, cantilever cracked beam, flexibility concept, laminated composite, natural frequency, DYNAMIC BEHAVIOR, FINITE-ELEMENT
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The objective of this paper is to investigate the effects of laminate scheme, crack ratio (a/h) and crack position (L-1/L) on the free vibration and lateral buckling of a cantilever slender rectangular beam such as an airplane wing or a wind turbine blade with a single edge crack. The local flexibility approach is adopted to model the crack, based on linear fracture mechanics and the Castigliano theorem. The governing matrix equations for free vibration and buckling load are derived from the standard beam element and cracked beam element combined with the local flexibility concept. The results are obtained numerically using the finite element method, based on the energy approach and are given for crack ratios up to 0.5 at crack positions up to 0.9 ratio. Polynomial approximation for displacements gives results with reasonable accuracy.