scholarly journals Application of a hybrid meshless technique for natural frequencies analysis in functionally graded thick hollow cylinder subjected to suddenly thermal loading

2014 ◽  
Vol 38 (2) ◽  
pp. 425-436 ◽  
Author(s):  
Seyed Mahmoud Hosseini
Keyword(s):  
Hollow Cylinder ◽  
Thermal Loading ◽  
Natural Frequencies ◽  
Functionally Graded ◽  
Thick Hollow Cylinder

Analytical Solution for the Creep Problem of a Rotating Functionally Graded Magneto–Electro–Elastic Hollow Cylinder in Thermal Environment

2019 ◽  
Vol 11 (06) ◽  
pp. 1950053 ◽  
Author(s):  
M. Saadatfar
Keyword(s):  
Differential Equation ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Thermal Environment ◽  
Functionally Graded ◽  
Time Dependent ◽  
Creep Stress ◽  
Creep Analysis ◽  
Magnetic Potentials ◽  
Creep Strains

In this paper, an analytical method is presented for the problem of the time-dependent response of a functionally graded magneto–electro–elastic (FGMEE) rotating hollow cylinder in thermal environment. The material properties of FGMEE are supposed to be power-law functions of radius. Applying the equations of equilibrium and electrostatic and magnetostatic equations, a differential equation which includes creep strains is achieved. At first, an exact solution for the primitive stresses, electric and magnetic potentials are achieved by eliminating creep strains in the mentioned differential equation. Then, Prandtl–Reuss equations, as well as Norton’s law, are employed for the FGMEE. Now, creep stress rates can be achieved by considering only creep strains in the mentioned differential equation. As a final step, time-dependent creep stress, electric potential and magnetic potential redistributions at any time can be achieved using an iterative method. Numerical examples are presented to disclose the influence of creep evolution, thermal loading, angular velocity and grading index on the primitive and creep response of the FGMEE hollow cylinder. Results show that the enhancement in tensile hoop stress during the creep evolution must be considered in designing. So, the creep analysis is vital to have more reliable and accurate aerospace smart structures.

Nonlinear Thermo-Mechanical Vibration Analysis of Functionally Graded Beams

2011 ◽  
Author(s):  
Ali Fallah ◽  
Keikhosrow Firoozbakhsh ◽  
Abdolreza Pasharavesh
Keyword(s):  
Vibration Analysis ◽  
Vibration Amplitude ◽  
Thermal Loading ◽  
Natural Frequencies ◽  
Mechanical Vibration ◽  
Closed Form Solution ◽  
Free Vibration Analysis ◽  
Form Solution ◽  
Functionally Graded ◽  
Material Inhomogeneity

In this paper, nonlinear thermo-mechanical free vibration analysis of functionally graded (FG) beams investigated. Euler-Bernoulli assumptions together with Von Karman’s strain-displacement relation are employed to derive the nonlinear governing partial differential equation (PDE) of motion. He’s variational method is employed to obtain a simple and efficient approximate closed form solution of the nonlinear governing equation. Comparison between results of the present work and those available in literature shows the accuracy of presented technique. Some new results for the nonlinear natural frequencies of the FG beams such as the effect of vibration amplitude, material inhomogeneity and thermal loading are presented for future references.

scholarly journals Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

2015 ◽  
Vol 45 (2) ◽  
pp. 3-20 ◽  
Author(s):  
Masoud Asgari
Keyword(s):  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Variation Method ◽  
Axisymmetric Vibration ◽  
Two Dimensional ◽  
Thick Hollow Cylinder ◽  
Graded Material

Abstract A thick hollow cylinder with finite length made of two- dimensional functionally graded material (2D-FGM) is considered and its natural modes are determined, based on great importance of mode shapes information in order to understand vibration behaviour of structures. Three dimensional theory of elasticity implemented for problem formulation, since mode shapes of a thick cylinder are three dimensional even with axisymmetric conditions. The axisymmetric conditions are assumed for the 2D-FGM cylinder. The material properties of the cylinder are varied in the radial and axial directions, with power law functions. Effects of volume fraction distribution on the different types of symmetric mode shapes configuration and vibration behaviour of a simply supported cylinder are analyzed. Three dimensional equations of motion are used and the eigen value problem is developed, based on direct variation method.

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