In this study, the non-linear dynamic analysis of torus-shaped and cylindrical shell-like structures has been studied. The applied material is assumed as the functionally graded material (FGM). The structures are considered to be used for important machines such as wind turbines. The effects of some environmental factors on the analysis like temperature and humidity have been considered. The strain field has been calculated in general form and in continue the dynamic governing equations of torus structure have been derived based on the first-order shear deformation theory. The rotation around two independent axes in the torus coordinate system is considered and time-dependent equations are solved using SAPM semi-analytical method. The stresses and deformations generated in the torus and cylindrical shaped structures are plotted. The rotation of structures has been attended due to some transportation purposes. The effect of internal pressures as well as rotational speed at torus and cylindrical structures has been investigated in several numerical diagrams. The results are presented in the form of graphs that consider the rotational effects, loading, thermal and humid (hygro-thermal) environments, and size of the structures. This research can provide scientific perspectives to researchers who will examine the dynamic analysis of torus and cylindrical shaped structures.

在这项研究中，研究了环形和圆柱形壳状结构的非线性动力学分析。假定所应用的材料为功能渐变材料（FGM）。该结构被认为用于重要的机器，例如风力涡轮机。已经考虑了一些环境因素对分析的影响，例如温度和湿度。以一般形式计算了应变场，并继续基于一阶剪切变形理论推导了环面结构的动力学控制方程。考虑圆环坐标系中围绕两个独立轴的旋转，并使用SAPM半解析方法求解与时间有关的方程。绘制了在圆环和圆柱状结构中产生的应力和变形。由于某些运输目的，结构的旋转受到关注。在几个数值图中已经研究了内部压力以及在圆环和圆柱结构处的转速的影响。结果以图表的形式呈现，这些图表考虑了旋转效应，载荷，热和湿（湿热）环境以及结构的尺寸。这项研究可以为研究圆环和圆柱状结构的动力学分析的研究人员提供科学的见解。热和潮湿（湿热）环境以及结构尺寸。这项研究可以为研究圆环和圆柱状结构的动力学分析的研究人员提供科学的见解。热和潮湿（湿热）环境以及结构尺寸。这项研究可以为研究圆环和圆柱状结构的动力学分析的研究人员提供科学的见解。