Chapter 3: Vibration of microstructural elements
Subrat Kumar Jena; Rashmita Mundari; Snehashish Chakraverty Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India
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 ...
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