Transient dynamic analysis of functionally graded micro-beams considering small-scale effects

Eshraghi I., Dag S.

ARCHIVES OF MECHANICS, cilt.73, sa.4, ss.303-337, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.24423/aom.3786
  • Dergi Adı: ARCHIVES OF MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.303-337
  • Anahtar Kelimeler: boundary element method, functionally graded materials, Timoshenko micro-beam, vibrations, modified couple stress theory, BOUNDARY-ELEMENT METHOD, NONLINEAR FORCED VIBRATION, D-BEM APPROACH, WAVE-EQUATION, TIME-DOMAIN, STRESS, PLATES, FORMULATION, FREQUENCY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A DOMAIN-BOUNDARY ELEMENT METHOD, based on modified couple stress theory, is developed for transient dynamic analysis of functionally graded micro-beams. In-corporating static fundamental solutions as weight functions in weighted residual expressions, governing partial differential equations of motion are converted to a set of coupled integral equations. A system of ordinary differential equations in time is ob-tained by domain discretization and solved using the Houbolt time marching scheme. Developed procedures are verified through comparisons to the results available in the literature for micro-and macro-scale beams. Numerical results illustrate elasto-dynamic responses of graded micro-beams subjected to various loading types. It is shown that metal-rich micro-beams and those with a smaller length scale parameter ratio undergo higher displacements and are subjected to larger normal stresses.