Stress and free vibration analysis of piezoelectric hollow circular FG-SWBNNTs reinforced nanocomposite plate based on modified couple stress theory subjected to thermo-mechanical loadings

چکیده مقاله

In this article, stresses and free vibration behaviors of annular circular piezoelectric nanocomposite plate reinforced by functionally graded single-walled boron nitride nanotubes (FG-SWBNNTs) embedded in an elastic foundation based on modified couple stress theory are explored. The mechanical properties of FG-SWBNNTs reinforced nanocomposites plate are assumed to be graded in the thickness direction and estimated through the micro-mechanical approach. The governing equations are obtained using energy method. The natural frequencies and stresses of FG-SWBNNTs reinforced nanocomposites plate are computed using differential quadrature method (DQM). Excellent agreement is observed between the obtained results and literature results. Then, influences of the internal radius to external and thickness to internal radius ratio, material length scale parameter, functionally graded parameter, temperature changes and elastic coefficients on the natural frequencies and stresses of the hollow circular nanocomposite plate are investigated. The results of this research show that the natural frequencies of the piezoelectric nanocomposite plate increase by increasing of the material length scale parameter, elastic foundation parameters, the ratio of inner to outer radius, the ratio of thickness to inner radius and decreasing of power index and temperature change. The radial stress of the nanocomposite plate varies proportional to its mode shape. The results can be employed to design smart structures employed for MEMS.