Buckling simulation of eccentrically rotating nanocomposite sector plates in thermal environment using the 2D Chebyshev collocation method

The present paper investigates the inertial stability of a graphene platelet (GPL) reinforced nanocomposite sector plate eccentrically rotating with a constant angular velocity. The axis of spinning is perpendicular to the plate and parallel to the transverse direction of origin. It is considered at a distance and angle to the plate coordinate origin. A uniform thermal environment is considered that affects the plate response. The nanocomposite is regarded as a laminated plate in which the GPLs in each layer are orientated and dispersed equally and randomly. The volume fraction of particles varies from layer to layer based on functionally graded (FG) linear models suitable for studying the buckling phenomenon. The pre-buckling and stability paths are separated by utilizing the adjacent equilibrium criterion. Both paths are solved by implementing the Chebyshev Collocation (CC) technique. The consequences of geometrical parameters, nanocomposite characteristics, and eccentric angle and distance on the stability of the current system are investigated. It will be revealed that the eccentric distance, according to its angle, can significantly increase or decrease the critical speed of the fabrication.