On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation

Abstract

Rotating structures can be easily encountered in engineering practice such as turbines, helicopter propellers, railroad tracks in turning positions, and so on. In such cases, it can be seen as a moving beam that rotates around a fixed axis. These structures commonly operate in hot weather; as a result, the arising temperature significantly changes their mechanical response, so studying the mechanical behavior of these structures in a temperature environment has great implications for design and use in practice. This work is the first exploration using the new shear deformation theory-type hyperbolic sine functions to carry out the free vibration analysis of the rotating functionally graded graphene beam resting on the elastic foundation taking into account the effects of both temperature and the initial geometrical imperfection. Equations for determining the fundamental frequencies as well as the vibration mode shapes of the beam are established, as mentioned, by the finite element method. The beam material is reinforced with graphene platelets (GPLs) with three types of GPL distribution ratios. The numerical results show numerous new points that have not been published before, especially the influence of the rotational speed, temperature, and material distribution on the free vibration response of the structure.

Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

“…Based on the trigonometric HSDT, Narayan et al 32 analyzed the nonlinear vibration of curved beams. Several other investigations on the mechanical behaviors of FG‐GRC structures were reported in published works 33–37 …”

“…Several other investigations on the mechanical behaviors of FG-GRC structures were reported in published works. [33][34][35][36][37] Moreover, there are some reports on mechanical behaviors of piezoelectric structures with graphene reinforcements. For instance, Nam et al 38 studied the nonlinear buckling of stiffened FG-GRC cylindrical panels with piezoelectric layer under axial compression.…”

Nonlinear Dynamics Study of Giant Magnetostrictive Actuators with Fractional Damping

“…Sylvain et al [15] established a mathematical model containing a five times nonlinear thin magnetostrictive actuator mathematical model, and it was shown that the system exhibits rich and complex dynamical properties, such as multistability and anti-monotonicity. In order to study the structural vibrations [16][17][18][19] in a system, it is essential to establish an accurate theoretical model. Nam et al [20] established a new model of beam, this new beam model is free of shear-locking for both thick and thin beams, is easy to apply in computation, and has efficiency in simulating the variable thickness beams.…”