Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams

Tuna M., Kırca M.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.105, ss.80-92, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.ijengsci.2016.05.001
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.80-92
  • Anahtar Kelimeler: Nonlocal elasticity, Eringen integral model, Laplace transform, Beam theory, Bending, Exact solution, VIBRATION ANALYSIS, ELASTICITY, FORMULATION, CONTINUUM, NANOBEAMS, MECHANICS
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Despite its popularity, differential form of Eringen nonlocal model leads to some inconsistencies that have been demonstrated recently for the cantilever beams by showing the differences between the integral and differential forms of the nonlocal equation, which indicates the importance and necessity of using the original integral model.