Axisymmetric nonlinear rapid heating of FGM cylindrical shells

Large amplitude thermally induced vibrations of cylindrical shells made of a through-the-thickness functionally graded material (FGM) are investigated in the current research. All of the thermo-mechanical properties of the FGM shell are assumed to be functions of temperature and thickness coordinate...

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Bibliographic Details
Published inJournal of thermal stresses Vol. 42; no. 4; pp. 490 - 505
Main Authors Esmaeili, H. R., Arvin, H., Kiani, Y.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.04.2019
Taylor & Francis Ltd
Subjects
Algorithms
Conduction heating
Conductive heat transfer
Cylindrical shells
Finite difference method
First-order shell theory
functionally graded material
Functionally gradient materials
Mathematical analysis
Mechanical properties
Nonlinear equations
Ritz method
Shear deformation
Shell theory
Shells
Temperature dependence
temperature dependency
Thermal conductivity
Thermal shock
thermally induced vibrations
Thermomechanical properties
Thickness
Time marching
von Kármán non-linearity
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Summary:Large amplitude thermally induced vibrations of cylindrical shells made of a through-the-thickness functionally graded material (FGM) are investigated in the current research. All of the thermo-mechanical properties of the FGM shell are assumed to be functions of temperature and thickness coordinate. Shell is subjected to rapid surface heating on the ceramic-rich surface while the other surface of the shell is kept at reference temperature. One dimensional heat conduction equation is constructed and solved by means of a hybrid finite difference-Crank-Nicolson algorithm. The constructed heat conduction equation is nonlinear since the thermal conductivity is temperature dependent. With the aid of first-order shear deformation shell theory under the axisymmetric Donnell kinematic assumptions and von Kármán type of strain-displacement relations, the total energy of the shell is established. Implementing the conventional Ritz method, a set of nonlinear coupled algebraic equations are obtained which govern the dynamics of the shell under thermal shock. These equations are solved in time domain using the Newmark time marching scheme and the simple Picard successive method. Parametric studies are given to explore the dynamics of an FGM cylindrical shell under thermal shock.
ISSN:0149-5739
1521-074X
DOI:10.1080/01495739.2018.1498756