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

Abstract

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 (MCST) are explored. The mechanical properties of FG-SWBNNT-reinforced nanocomposite plate are assumed to be graded in the direction of thickness and estimated through the micro-mechanical approach. The governing equations are obtained using the energy method. The natural frequencies and stresses of FG-SWBNNT-reinforced nanocomposite plate are computed using the differential quadrature method (DQM). An excellent agreement is observed between the obtained results and the results in the literature. Influences of the internal radius to the external radius, the thickness to the internal radius ratio, the material length scale parameter, the 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 the material length scale parameter, the elastic foundation parameters, the ratio of the inner radius to the outer radius, the ratio of the thickness to the inner radius, and decreasing the power index and temperature change. The radial stress of the nanocomposite plate varies proportionally to its mode shape. The results can be employed to design smart structures in micro-electro-mechanical systems (MEMS).

Current challenges in modelling vibrational fatigue and fracture of structures: a review

“…Generally, vibration is analysed in four domains and each domain offers identifiable data on the operational conditions and characteristics of the vibration [9]. Researchers apply different theories to study the characteristics of vibration: higher-order shear deformation theory [10][11][12][13][14], nonlocal elastic theory [15,16], modified couple stress theory [17], generalized differential quadrature method [18], Bubnov-Galerkin method [19], thermal-energy method [20], finite element analysis [21,22] among many others. Most of these methods are, however, purely analysing the vibrational characteristic behaviour of the structure without concerning the fatigue damage.…”

Vibration and thermal buckling analyses of three-layered centrosymmetric piezoelectric microplates based on the modified consistent couple stress theory

“…A nonclassical Kirchhoff plate resting on an elastic foundation was examined by Gao and Zhang (2016) on the basis of the MCST. Using the differential quadrature method, Mohammadimehr et al (2018) studied the stress analysis and the free vibration features of an annular circular piezoelectric plate reinforced with FG boron nitride nanotubes on the basis of MCST. Zeng et al (2019) developed a nonlinear dynamic model for nanoshells incorporating the flexoelectricity on the basis of the MCST.…”

Vibration behavior of a micro cylindrical sandwich panel reinforced by graphene platelet

“…Rahmani et al (2009) presented cylindrical composite sandwich shells for free vibration response based on high-order shear deformation theory with flexible cores. Mohammadimehr et al (2018b) used first-order shear deformation theory (FSDT) and MCST on sandwich cylindrical shells to obtain natural frequency. The energy method and the Hamilton’s principle have been used to obtain motion equations and solving them using the Navier’s method.…”