Exact solutions for forced vibration of non-uniform rods by Laplace transformation

ÇELEBİ K., KELEŞ İ., TÜTÜNCÜ N.

Gazi University Journal of Science, cilt.24, sa.2, ss.347-353, 2011 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: Gazi University Journal of Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.347-353
  • Anahtar Kelimeler: Forced vibrations, Laplace transformation, Longitudinal vibrations, Natural frequency, Non-uniform rod, Residue theorem
  • Samsun Üniversitesi Adresli: Hayır

Özet

Longitudinal forced vibration behavior of non-uniform rods subjected to dynamic axial load is studied. Exact displacement solutions are obtained using the Laplace transformation method. Free vibration behavior is readily obtained in the analysis. Natural frequencies available in the literature for the cases considered are fully recovered. Inverse transformation into the time domain is performed using calculus of residues. Closed-form displacement expressions are tractable and efficiently implemented. Their efficiency is demonstrated by comparing the results with those obtained using Mode Superposition Method.