Dynamic analysis of a porous Timoshenko microbeam considering the rotational restraints


Kadioglu H. G., UZUN B., YAYLI M. Ö.

Thin-Walled Structures, cilt.220, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 220
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.tws.2025.114408
  • Dergi Adı: Thin-Walled Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
  • Anahtar Kelimeler: Elastic boundary conditions, Free vibration, Modified couple stress theory, Porous material, Timoshenko beam theory
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this study, the free vibration behavior of microbeams with two different porosity coefficients, one reducing the elastic modulus and the other reducing the density, was investigated within the framework of Kelvin Voigt viscoelastic model, Timoshenko beam theory and Modified Couple Stress Theory. In the solution, a semi analytical method based on Fourier series and Stokes' transformation was employed, which effectively handles rotational restraints and higher-order derivatives. It was determined that material length scale parameter increases the natural frequencies with the contribution of microstructural stiffness; the porosity coefficient that reduces the elasticity modulus decreases the frequency, while the porosity coefficient that reduces the density can increase the frequency due to the mass effect. Additionally, it was observed that the porosity effect intensifies as the material length scale parameter increases, and the scale effect becomes more pronounced under more rigid boundary conditions and at higher vibration modes. The independence of porosity effects from boundary conditions according to relative is explained by the fact that this effect originates directly from material properties.