Investigation of linear vibration behavior of middle supported nanobeam

Yapanmış B. E. , Bağdatlı S. M. , Toğun N. K.

El-Cezerî Journal of Science and Engineering, vol.7, no.3, pp.1450-1459, 2020 (National Refreed University Journal)

  • Publication Type: Article / Article
  • Volume: 7 Issue: 3
  • Publication Date: 2020
  • Title of Journal : El-Cezerî Journal of Science and Engineering
  • Page Numbers: pp.1450-1459


In this study, linear vibration of middle supported nanobeam, which is commonly used in nano electro
mechanical systems, is analyzed. Eringen’s nonlocal elasticity theory is used to capture nanoscale effect. Equation of
motion of nanobeam is derived with the Hamilton principle. Multiple scale methods, which is one of the perturbation
techniques, is performed for solving the equation of motion. Support position and nonlocal effect are focused on the
research. The results are presented with graphs and table. In conclusion, when the nonlocal parameter is getting a
raise, more nanoscale structure is obtained. Highest rigidity and linear natural frequency are received with mid
position of the support.