Thermal effects on vibration properties of double-layered nanoplates at small scales

In this paper, the thermal effects on the vibration properties of the double-layered nanoplates are studied. Based on the nonlocal continuum theory, the governing equations are derived and the expressions of the natural frequencies are presented. The axial stress caused by the thermal effects is considered. The influences of the small scale coefficient, the room or low temperature, the high temperature, the half wave numbers, the temperature change and the ratio of plate widths are discussed. Numerical results show that the small scale effects are significant for larger half wave numbers. The vibration properties can be obviously tuned by the thermal effects, the ratio of the nanoplate widths and the half wave numbers. The influences on the vibration behaviors are usually different for mode I and mode II. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.