Fractional modelling of piezoelectric composite nanobeams via novel numerical schemes

Salah M., CİVALEK Ö., Ragb O.

Applied Physics A: Materials Science and Processing, cilt.129, sa.11, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 129 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00339-023-07088-w
  • Dergi Adı: Applied Physics A: Materials Science and Processing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Chimica, Communication Abstracts, Compendex, INSPEC, Metadex
  • Anahtar Kelimeler: Composite beams, Fractional quadrature techniques, Generalized Caputo, Piezoelectric material, Vibration
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In the present study, the free vibration analysis of piezoelectric composite nanobeams is performed with various boundary conditions. Novel numerical techniques based on quadrature schemes with various test functions are applied with the generalized Caputo kind to solve the boundary value fractional problems. The accuracy and validity of the present analysis are demonstrated by comparing the present results with the previously published ones. Moreover, a parametric analysis is carried out to examine the effect of some material parameters, fractional order derivatives, and geometric dimensions on the vibration attitude of the nanobeam. This parametric study proven the ability of our techniques to provide a solution to most complex fractional differential equations. It is revealed that the fractional differential quadrature methods decrease the time and computational costs.