Abstract
In the present paper, thermomechanical vibration characteristics of functionally graded (FG) Reddy beams made of porous material subjected to various thermal loadings are investigated by utilizing a Navier solution method for the first time. Four types of thermal loadings, namely, uniform, linear, nonlinear, and sinusoidal temperature rises, through the thickness direction are considered. Thermomechanical material properties of FG beam are assumed to be temperature-dependent and supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM) which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. The governing differential equations of motion are derived based on higher order shear deformation beam theory. Hamilton’s principle is applied to obtain the governing differential equations of motion which are solved by employing an analytical technique called the Navier type solution method. Influences of several important parameters such as power-law exponents, porosity distributions, porosity volume fractions, thermal effects, and slenderness ratios on natural frequencies of the temperature-dependent FG beams with porosities are investigated and discussed in detail. It is concluded that these effects play significant role in the thermodynamic behavior of porous FG beams.
Highlights
Graded materials (FGMs) are advanced types of composite materials with inhomogeneous micromechanical structure, where the concentration, shape, and orientation of constituent phases vary in one or more directions optimizing the performance
This paper focuses on the thermomechanical performance of porous functionally graded (FG) beams subjected to various thermal loading with two different porosity distributions
It is deduced that the nondimensional frequency of FG porous beams under sinusoidal temperature rise is higher than that under nonlinear temperature rise, and the frequency of the FG porous beam subjected to Nonlinear Temperature Rise (NLTR) is higher than that of FG porous beam subjected to Linear Temperature Rise (LTR), in which the frequency of the FG porous beam subjected to LTR is higher than that subjected to Uniform Temperature Rise (UTR)
Summary
Graded materials (FGMs) are advanced types of composite materials with inhomogeneous micromechanical structure, where the concentration, shape, and orientation of constituent phases vary in one or more directions optimizing the performance. Grading can be implemented in several directions These materials have been developed for general purpose structural components such as rocket engine components or turbine blades where the components are exposed to extreme temperatures. FGMs possess various advantages in comparison with traditional composites, for example, multifunctionality, ability to control deformation, corrosion resistance, dynamic response, minimization or remove stress concentrations, smoothing the transition of thermal stress, and resistance to oxidation. FGMs have received wide engineering applications in modern industries including aerospace, nuclear energy, turbine components, rocket nozzles, and critical furnace parts [1,2,3,4]. The advantages of using FGM structures in general engineering structures have been increasingly recognized in recent decades so it is important to understand behaviors of engineering structures made of FGM such as vibration, static, and dynamic behavior of the FG beams and plates often found in general engineering structures [5, 6]
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