Modelling of thermally affected elastic wave propagation within rotating Mori–Tanaka-based heterogeneous nanostructures

Abstract

In this article, wave dispersion responses of a temperature-dependent functionally graded (FG) nanobeam undergoing rotation and exposed to thermal load are presented based on nonlocal strain gradient theory. Mori–Tanaka model has been considered to express the gradual variation of material properties across thickness. Governing equations are derived as a function of axial force due to centrifugal stiffening and displacements by applying Hamilton’s principle in context of Euler–Bernoulli theory. Dispersion relations of rotating FG nanobeam are analytically derived by solving an eigenvalue problem. Obviously, numerical results indicate that different parameters such as angular velocity, gradient index, temperature change, wave number, and nonlocality parameter have significant influences on wave characteristics of rotating FG nanobeams. Hence, results of this research can provide useful information for the next generation studies and accurate deigns of nanomachines including nanoscale molecular bearings and nanogears.