Investigation of Linear Vibration Behavior of Middle Supported Nanobeam

Abstract

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