Abstract

In this chapter, vibration and buckling of nanobeams embedded in elastic medium under the influence of temperature have been investigated using the differential quadrature method. The present formulation is based on Reddy beam theory in conjunction with nonlocal elasticity theory. An eigenvalue equation has been developed for the buckling and vibration analyses. The frequency and critical buckling load parameters are shown to be dependent on the temperature, elastic medium, small-scale coefficient, and length-to-diameter ratio. These observations are useful in the mechanical design of devices that use carbon nanotubes.

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