Investigation of linear vibration behavior of middle supported nanobeam [Ortadan destekli nano kirişin doğrusal titreşim davranışının incelenmesi]

Abstract

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. © 2020, TUBITAK. All rights reserved.