The stresses and deformations of a functionally graded piezoelectric material (FGPM) non-uniform thickness rotating disc under magneto-thermo-mechanical loads including convection and radiation heat transfer were examined in this paper. The material constants were considered to be a power-law function of radius. Also, the heat convection coefficient and heat conduction coefficient are functions of radius and temperature. The equation of heat transfer was derived considering thermal gradient, convection thermal boundary, and solar radiation. The nonlinear final differential equation was solved using the Differential Transformation Method (DTM). Then, the equilibrium equation together with the electrostatic equation of the disc was derived and solved analytically. So, the radial and circumferential stress, radial deformation, and electric potential were obtained. Finally, the effects of solar radiation, convection heat transfer, temperature dependency, inhomogeneity index, angular velocity, and magnetic field on the stress, deformation, and electric potential of the disc were investigated in numerical examples. The results show that solar radiation, convection boundary, thickness function, and inhomogeneity index have a considerable effect on the responses of the rotating FGPM disc.

本文研究了功能梯度压电材料（FGPM）不均匀厚度旋转盘在磁热机械载荷（包括对流和辐射传热）下的应力和变形。材料常数被认为是半径的幂律函数。此外，热对流系数和热传导系数是半径和温度的函数。考虑热梯度、对流热边界和太阳辐射，推导了传热方程。使用微分变换法 (DTM) 求解非线性最终微分方程。然后，推导了平衡方程以及圆盘的静电方程并进行解析求解。因此，获得了径向和周向应力、径向变形和电势。最后，通过数值算例研究了太阳辐射、对流换热、温度依赖性、不均匀性指数、角速度和磁场对圆盘应力、变形和电势的影响。结果表明，太阳辐射、对流边界、厚度函数和不均匀性指数对旋转FGPM圆盘的响应有相当大的影响。