Novel size-dependent finite element formulation for modal analysis of cracked nanorods


Numanoğlu H. M., CİVALEK Ö.

Materials Today Communications, cilt.31, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.mtcomm.2022.103545
  • Dergi Adı: Materials Today Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
  • Anahtar Kelimeler: Axial vibration, Crack, Finite element, Nanorod, Nonlocal elasticity
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2022 Elsevier LtdIt is a remarkable engineering problem how possible structural damages in nano/micro scaled mechanical elements affect the working performance and mechanical behavior of nano/micro-electro-mechanical system (NEMS/MEMS) organizations. There are various nano/micro-scale mechanical elements that can be modelled as one-dimensional and continuous systems in NEMS/MEMS organizations. With this motivation, the free vibration analysis of nano scaled axial rods with a single crack is examined by employing the nonlocal finite element formulation for the first time in the literature in this study. Firstly, the differential equation of nonlocal vibration of nanorods is presented for a single crack. Next, a nonlocal finite element formulation developed for the case of crack is proposed. The local and nonlocal nondimensional frequency parameters of cracked nanorods are compared with some studies in the literature. Additionally, nondimensional frequencies of nanorods are presented with several tables and graphics according to different parameters such as nonlocal parameter, mode number, crack intensity and crack location. Detailed discussions of the numerical results are given, and the conclusions deduced from these discussions are summarized.