Chapter 3 - Vibration of microstructural elements

Abstract

This chapter is aimed to study the vibration characteristics of a microbeam placed in a thermal environment, using the Euler-Bernoulli beam theory. The modified couple stress theory has been utilized to capture the size-dependent effect of the microbeam, and the governing equations of motion are deduced by adopting Hamilton’s principle. The nondimensional frequency parameters for the hinged-hinged (HH) boundary condition are obtained by using Navier’s technique. A parametric study is undertaken to assess the impact of the material length scale parameter, rise in temperature, and Poisson’s ratio.