scholarly journals A Third-Order Shear Deformation Theory for Bending Behaviors of Rotating FGM Beams Resting on Elastic Foundation with Geometrical Imperfections in Thermal Environments

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Nguyen Van Dang
Keyword(s):  
Shear Deformation ◽  
Material Properties ◽  
Deformation Theory ◽  
Turbine Blades ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Engineering Practice ◽  
Thermal Environments ◽  
Graded Material ◽  
Geometrical Imperfections

Beam-shaped components in large mechanical structures such as propellers, gas turbine blades, engine turbines, rotating railway bridges, and so on, when operating, usually engage in rotational movement around the fixed axis. Studying the mechanical behavior of these structures has great significance in engineering practice. Therefore, this paper is the first investigation on the static bending of rotating functionally graded material (FGM) beams with initial geometrical imperfections in thermal environments, where the higher-order shear deformation theory and the finite element method (FEM) are exercised. The material properties of beams are assumed to be varied only in the thickness direction and changed by the temperature effect, which increases the correctness and proximity to technical reality. The numerical results of this work are compared with those of other published papers to evaluate the accuracy of the proposed theory and mechanical model used in this paper. A series of parameter studies is carried out such as geometrical and material properties, especially the rotational speed and temperature, to evaluate their influences on the bending responses of structures.

scholarly journals Strong and Weak Formulations of a Mixed Higher-Order Shear Deformation Theory for the Static Analysis of Functionally Graded Beams under Thermo-Mechanical Loads

2020 ◽  
Vol 4 (4) ◽  
pp. 158 ◽  
Author(s):  
Chih-Ping Wu ◽  
Zhan-Rong Xu
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Static Analysis ◽  
Material Properties ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Mechanical Loads ◽  
Effective Material Properties ◽  
Fg Beam

The strong and weak formulations of a mixed layer-wise (LW) higher-order shear deformation theory (HSDT) are developed for the static analysis of functionally graded (FG) beams under various boundary conditions subjected to thermo-mechanical loads. The material properties of the FG beam are assumed to obey a power-law distribution of the volume fractions of the constituents through the thickness of the FG beam, for which the effective material properties are estimated using the rule of mixtures, or it is directly assumed that the effective material properties of the FG beam obey an exponential function distribution along the thickness direction of the FG beam. The results shown in the numerical examples indicate that the mixed LW HSDT solutions for elastic and thermal field variables are in excellent agreement with the accurate solutions available in the literature. A parametric study related to various effects on the coupled thermo-mechanical behavior of FG beams is carried out, including the aspect ratio, the material-property gradient index, and different boundary conditions.

Vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation and third-order shear deformation theory under thermal environment

2020 ◽  
pp. 107754632095166
Author(s):  
Chih-Chiang Hong
Keyword(s):  
Shear Deformation ◽  
Functionally Graded Material ◽  
Deformation Theory ◽  
Cylindrical Shells ◽  
Homogeneous Equation ◽  
Nonlinear Coefficient ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Third Order ◽  
Graded Material

The effects of third-order shear deformation theory and varied shear correction coefficient on the vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation under thermal environment are investigated. The nonlinear coefficient term of displacement field of third-order shear deformation theory is included to derive the fully homogeneous equation under free vibration of functionally graded material cylindrical shells. The determinant of the coefficient matrix in dynamic equilibrium differential equations under free vibration can be represented into the fully fifth-order polynomial equation, thus the natural frequency can be found. Two parametric effects of environment temperature and functionally graded material power law index on the natural frequency of functionally graded material thick cylindrical shells with and without the nonlinear coefficient term of displacement fields are computed and investigated.

Analysis of Functionally Graded Cylindrical Panel Under Mechanical Loading

2007 ◽  
Author(s):  
P. Ghaderi ◽  
A. Fathizadeh ◽  
M. Bankehsaz
Keyword(s):  
Shear Deformation ◽  
Material Properties ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Algebraic Equations ◽  
Aspect Ratios ◽  
Linear Algebraic Equations ◽  
Cylindrical Panels

In this paper a semi-analytical method is developed to analyze functionally graded cylindrical panels. In this method, the radial domain is divided into some finite sub-domains and the material properties are assumed to be constant in each subdomain. Imposing the continuity conditions at the interface of the adjacent sub-domains, together with the global boundary conditions, a set of linear algebraic equations are derived. Solving the linear algebraic equations, the elastic response for the thick-walled FG cylindrical panel is obtained. The method can be used for all material properties variations but in present study, material properties are assumed vary with Mori-Tanaka estimation. Results are compared with the first order shear deformation theory and third order shear deformation theory of Reddy and accuracy of these theories in assessed for FG cylindrical panels with different aspect ratios.

Buckling of Simply Supported Piezoelectric FGM Plates Subjected to Electro-Mechanical Loading Using Higher-Order Shear Deformation Theory

2012 ◽  
Vol 622-623 ◽  
pp. 200-205
Author(s):  
Kamal M. Bajoria ◽  
Priyanka A. Jadhav
Keyword(s):  
Stability Analysis ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Deformation Theory ◽  
Piezoelectric Effect ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Simply Supported ◽  
Graded Material

This paper investigates the stability analysis of plates made of functionally graded material (FGM) and integrated with piezoelectric actuator and sensor at top and bottom face subjected to electrical and mechanical loading. The finite element formulation is presented using degenerated shell element, von-Karman hypothesis, higher-order shear deformation theory and considering the piezoelectric effect. The governing equilibrium equation is derived using the principle of minimum energy and solution for critical buckling load is obtained by solving Eigen value problem. The material properties of the FGM plates are assumed to be graded along the thickness direction according to simple power-law distribution in terms of the volume fraction of the constituents, while the poison’s ratio is assumed to be constant. Stability analysis is carried out on simply supported plate made of newly introduced metal based functionally graded material (FGM) i.e. mixture of aluminum and stainless steel which exhibits the two different material properties in single material i.e. high corrosion resistance as well as high strength. Results show that the buckling strength of plate increases with increase in volume fraction indices through the thickness and it can be further improved with the help of piezoelectric effect.

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