Thermal Vibration of Nanobeams Based on Exact Nonlocal Stress Theory

Free vibration of nanobeams including the effect of temperature change is investigated based on the exact nonlocal stress theory. By applying the variational principle, the higher ordergoverning equation with the corresponding higher order boundary conditions is derived. The generalized differential quadrature method (GDQM) is applied to determine the fundamentalfrequency of nanobeam. The influences of temperature change, nonlocal parameter and slendernessratio on the frequency of pinned-pinned and clamped-clamped nanobeams are explored and discussed in detail. Results show that with increasing the temperature change, thefrequency increases at low or room temperature, while decreases at high temperature. It isobserved that the frequency increases as the nonlocal parameter increases. In addition, the nonlocal effect is dependent on the temperature change. Furthermore, the thermal effect on the frequency is significant for the nanobeam with large slenderness ratio

Keywords:

nanobeam , thermal vibration , exact nonlocal stress theory