Abstract
In practical operations of mechanical structures, it is not difficult to meet some large components such as helicopter rotors, gas turbine blades of marine engines, and rotating railway bridges, where these elements can be seen as beam models rotating around one fixed axis. Therefore, mechanical explorations of these structures with and without the effect of temperature will guide the design, manufacture, and use of them in practice. This is the first paper that uses the shear deformation theory-type hyperbolic sine functions and the finite element method to analyze the free vibration response of rotating FGM beams with initial geometrical imperfections resting on elastic foundations considering the effect of temperature. The material properties are assumed to be varied in the thickness direction of the beam based on the power law function and temperature changes The proposed theory and mathematical model are verified by comparing the results with other exact solutions. The numerical investigations have taken into account some geometrical and material parameters to evaluate the effects on the vibration behavior of the structure such as the rotational speed, temperature, as well as initial geometrical imperfections. The drawn comments have numerous scientific and practical implications for rotating beam structures.
Highlights
Graded materials (FGM) are made of two or more different materials, where the common type is the combination of ceramic and metal with the changing law of material properties in one direction
Pradhan and Murmu [7] used Eringen’s nonlocal elasticity theory and a single nonlocal beam model to investigate the mechanical behavior of a rotating nanobeam, where the differential quadrature method was adopted in this work
Li et al [8] examined the free vibration response of a rotating functionally graded material (FGM) beam using a dynamic model; the results took the effects of the bending and stretching phenomena into account
Summary
Graded materials (FGM) are made of two or more different materials, where the common type is the combination of ceramic and metal with the changing law of material properties in one direction. Li et al [8] examined the free vibration response of a rotating functionally graded material (FGM) beam using a dynamic model; the results took the effects of the bending and stretching phenomena into account. Based on the review above, it can be seen that there are not any publications on free vibration responses of rotating FGM beams resting on elastic foundations in thermal environments, in which geometrical imperfections are taken into account. This paper is about to explore the free vibration behavior of these structures by using the combination of the finite element method and the new type of hyperbolic sine functions of shear deformation theory.
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