Acoustic pulse interaction with a submerged functionally graded material hollow cylinder

2011 ◽  
Vol 57 (1) ◽  
pp. 20-35 ◽  
Author(s):  
Seyyed M. Hasheminejad ◽  
Saeed Abbasion ◽  
Yaser Mirzaei
Keyword(s):  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Acoustic Pulse ◽  
Functionally Graded ◽  
Graded Material ◽  
Pulse Interaction

General Solution for Equation of Transient Heat Conduction in Functionally Graded Material Hollow Cylinder With Piezoelectric Internal and External Layers

2017 ◽  
Vol 139 (5) ◽  
Author(s):  
M. Jabbari ◽  
M. A. Kiani
Keyword(s):  
Heat Conduction ◽  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Separation Of Variables ◽  
Transient Heat Conduction ◽  
Two Dimensions ◽  
Functionally Graded ◽  
Power Functions ◽  
Generalized Bessel Function ◽  
Graded Material

In this paper, the exact solution of the equation of transient heat conduction in two dimensions for a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers is developed. Temperature distribution, as function of radial and circumferential directions and time, is analytically obtained for different layers, using the method of separation of variables and generalized Bessel function. The FGM properties are assumed to depend on the variable r, and they are expressed as power functions of r.

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.

Thermoelastic dynamic response for a long functionally graded hollow cylinder

2012 ◽  
Vol 47 (3) ◽  
pp. 315-325 ◽  
Author(s):  
Hong-Liang Dai ◽  
Yan-Ni Rao ◽  
Hao-Jie Jiang
Keyword(s):  
Dynamic Response ◽  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Constant Load ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Graded Materials ◽  
Graded Material

In this paper, a novel numerical method is presented to analyze the thermoelastic dynamic response of a long hollow cylinder made of functionally graded materials under radially symmetric dynamic mechanical and thermal loadings. That is utilizing finite difference method and Newmark method to solve the governing equation. The material of the functionally graded material hollow cylinder is assumed to change continuously along the thickness according to power-law distribution, except for a constant Poisson’s ratio, and the thermal boundary condition without internal heat source is considered. Comparisons between this paper’s results and the corresponding analytical results validate the solution proposed in this paper. Finally, the functionally graded material hollow cylinder under constant load and impulsive load are discussed in detail and many valuable thermoelastic dynamic characteristics are revealed.

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