Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder

Finite Element Method based on Rayleigh-Ritz energy formulation is applied to obtain the elastic behavior of functionally graded thick truncated cone. The cone has finite length, and it is subjected to axisymmetric hydrostatic internal pressure. The inner surface of the cone is pure ceramic and the outer surface is pure metal, and the material composition varying continuously along its thickness. Using this method, the effects of semi-vertex angle of the cone and the power law exponent on distribution of different types of displacements and stresses are considered.

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“…The inner surface of the cone is pure ceramic, and the outer surface is pure metal. The material distribution can be expressed as [16] …”

Section: Materials Gradient and Geometry Of Truncated Thick Hollow Conementioning

confidence: 99%

Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure

et al. 2010

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“…In this regards, so many studies have been done to compute time dependent responses of the both isotropic and anisotropic cylinders (Huang, 1969;Keles and Tutuncu, 2009;Shakeri et al 2006;Baba and Keles, 2015;Ghannad and Gharooni, 2015). In most of these researches, the time dependency of the governing equation has been eliminated utilizing the Laplace transform (Huang, 1969;Keles and Tutuncu, 2009;Baba and Keles, 2015).…”

Section: Introductionmentioning

confidence: 99%

An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders

Movahedian

Botshekan

2017

Lat. Am. j. solids struct.

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In this paper, we propose a time domain analytical solution for the forced vibration analysis of thick-walled hollow cylinders in presence of polar orthotropy. In this regard, solution of the governing equation is decomposed into two parts. The role of the first one is to satisfy boundary conditions utilizing the method of separation of variables besides of Fourier series expansion of the non-homogenous boundary conditions. The second part has been also expressed as the series of orthogonal characteristic functions with the aim of satisfaction of initial conditions. The proposed analytical solution has been implemented to evaluate the dynamic response of the cylinder in solution of some sample problems which are chosen from previous studies.

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“…Among the FGM structures, little attention has been given to analysis of FGM cylindrical structures than those of rectangular and circular ones. For example, Shakeri et al (2006) presented the vibration and radial wave propagation velocity in an FG thick hollow cylinder under dynamic loading by dividing the cylinder into some homogeneous sub-cylinders. Hosseini et al (2007) studied the dynamic responses and natural frequencies of an infinite FG cylinder under internal pressure.…”

Section: Introductionmentioning

confidence: 99%

Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading

Zafarmand

Salehi

Asemi

2015

Lat. Am. j. solids struct.

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In this paper three dimensional free vibration and transient response of a cylindrical panel made of two directional functionally graded materials (2D-FGMs) based on three dimensional equations of elasticity and subjected to internal impact loading is considered. Material properties vary through both radial and axial directions continuously. The 3D graded finite element method (GFEM) based on Rayleigh-Ritz energy formulation and Newmark direct integration method has been applied to solve the equations in space and time domains. The fundamental normalized natural frequency, time history of displacements and stresses in three directions and velocity of radial stress wave propagation for various values of span angel of cylindrical panel and different power law exponents have been investigated. The present results show that using 2D-FGMs leads to a more flexible design than conventional 1D-FGMs. The GFEM solution have been compared with the results of an FG thick hollow cylinder and an FG curved panel, where a good agreement between them is observed.

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Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder

Cited by 103 publications

References 15 publications

Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure

Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure

An Analytical Time Domain Solution for the Forced Vibration Analysis of Thick-Walled Cylinders

Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading

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