Thermally induced axisymmetric and asymmetric vibrations of circular monolayer graphene considering quantum effects are studied using nonlocal elasticity theory. Explicit expressions are analytically developed for the root-mean-square (RMS) amplitude and the mode shape of thermal vibration. Following the expressions, the effects of nonlocal parameter, size, and temperature change of the circular graphene on the RMS amplitude and mode shape are explored. Results show that the RMS amplitude increases with increasing temperature and graphene size. In addition, the amplitude increases with an increase in the nonlocal parameter. For the mode (m, n) of thermal vibration of graphene, there are m - 1 nodal circles and n diametrical nodal lines. The sensors used to measure modal data can be placed at the diametrical nodal lines and nodal circles to avoid vibrational failure of the sensors.
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