A closed-form solution for transient thermal stress analysis of functionally graded hollow cylinder exposed to high-temperature difference is obtained under the influence of periodic rotation. All mechanical and thermal properties except the Poisson’s ratio are assumed to be graded in the radial direction as a power-law function. The transient heat conduction and equilibrium equations are solved on the Laplace domain by using Bessel functions and the Gauss quadrature integration procedure. The inverse transformation to the real space is achieved by using the modified Durbin method. The novelty of this study is to provide a general solution to the functionally graded cylinder under the effect of periodic rotation in a transient regime. The effects of periodic rotation and high-temperature difference on temperature and thermal stresses are investigated for a specific ceramic-metal mixture by using this solution. The solution presented in this study can be adopted simply by changing the coefficients of inhomogeneity in the power-law variation for any pair of materials.

在周期性旋转的影响下，获得了暴露于高温差的功能梯度空心圆柱瞬态热应力分析的封闭形式解。假定除泊松比之外的所有机械和热特性在径向上分级为幂律函数。瞬态热传导和平衡方程通过使用贝塞尔函数和高斯正交积分程序在拉普拉斯域上求解。对真实空间的逆变换是通过使用改进的 Durbin 方法实现的。本研究的新颖之处在于为瞬态周期中周期性旋转作用下的功能梯度圆柱体提供了一个通用的解决方案。使用该解决方案研究了特定陶瓷-金属混合物的周期性旋转和高温差对温度和热应力的影响。本研究中提出的解决方案可以简单地通过改变任何一对材料的幂律变化的不均匀系数来采用。