Axisymmetric nonlinear rapid heating of FGM cylindrical shells

被引:40
作者
Esmaeili, H. R. [1 ]
Arvin, H. [2 ]
Kiani, Y. [2 ]
机构
[1] Shahrekord Univ, Dept Mech Engn, Shahrekord, Iran
[2] Shahrekord Univ, Fac Engn, Shahrekord 8818634141, Iran
关键词
First-order shell theory; functionally graded material; von Karman non-linearity; Ritz method; temperature dependency; thermally induced vibrations; THERMALLY-INDUCED VIBRATIONS; VISCOELASTIC PLATES; DYNAMIC-RESPONSE; CIRCULAR PLATES; BEAMS;
D O I
10.1080/01495739.2018.1498756
中图分类号
O414.1 [热力学];
学科分类号
摘要
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 Karman 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.
引用
收藏
页码:490 / 505
页数:16
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