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首页> 外文期刊>Journal of thermal stresses >Axisymmetric nonlinear rapid heating of FGM cylindrical shells
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Axisymmetric nonlinear rapid heating of FGM cylindrical shells

机译：FGM圆柱壳的轴对称非线性快速加热

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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.
机译：在目前的研究中，研究了由全厚度功能梯度材料（FGM）制成的圆柱壳的大振幅热致振动。假定FGM外壳的所有热机械性能都是温度和厚度坐标的函数。外壳在富含陶瓷的表面上经受快速表面加热，而外壳的另一个表面保持在参考温度下。利用混合有限差分-Crank-Nicolson算法构造和求解一维热传导方程。构造的热传导方程是非线性的，因为热传导率与温度有关。借助一阶剪切变形壳理论，在轴对称Donnell运动学假设和von Karman型应变位移关系下，建立了壳的总能量。通过实施常规的Ritz方法，获得了一组非线性耦合代数方程组，它们控制了热冲击下壳体的动力学。使用Newmark时间行进方案和简单的Picard连续方法在时域中求解这些方程。进行了参数研究，以探索热冲击下FGM圆柱壳的动力学。

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