Dynamical analysis of the general beam model with singularity function

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DÖNMEZ DEMİR D., SINIR B. G., Kahraman E.

Journal of Engineering Research (Kuwait), cilt.9, sa.3, ss.52-63, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.36909/jer.v9i3a.8201
  • Dergi Adı: Journal of Engineering Research (Kuwait)
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, Directory of Open Access Journals
  • Sayfa Sayıları: ss.52-63
  • Anahtar Kelimeler: Discontinuous beams, Finite differences method, General model, Method of multiple scales, Singularity function
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The aim of this study is to present a general model with variable coefficients corresponding to some structural elements such as beam, string, bar, and rod. To solve general model with variable coefficients, a different solution procedure combining a method of multiple scales (MMS) and a finite difference method (FDM) is presented in this study. This technique provides an advantage in the numerical solution of the structural element model containing any discontinuity and in its dynamical analysis by perturbation method. Furthermore, two problems including discontinuity are considered to show the accuracy of the method presented. The comparisons of the numerical results obtained from the proposed method and classical method are introduced.