The aim of this work is to provide an analytical tool and numerical analysis for the optimum design of composite pressure vessels with the dome, incorporating triangular mosaic patterns. This article presents the analytical modeling involving kinematic constraints based on geodesic trajectory: the helical angle and dome thickness. The structural analysis is performed using a commercial finite element analysis tool. The results show that this new analytical method gives more accurate dome thickness than cubic spline function and Gramoll and Namiki’s methods. The incorporation of mosaic patterns based on winding kinematics provides more realistic modeling of the real stress distribution and the stress values compared to the vessel without mosaic patterns and vessels with mosaic patterns based on nongeodesic trajectories. The results have been validated and are quite promising with regard to better accuracy and safety.

这项工作的目的是为结合三角形镶嵌图案的带有圆顶的复合压力容器的最佳设计提供一种分析工具和数值分析。本文提出了一种基于运动轨迹约束的解析模型，该运动约束基于测地线轨迹：螺旋角和圆顶厚度。使用商业有限元分析工具进行结构分析。结果表明，与三次样条函数以及Gramoll和Namiki的方法相比，这种新的分析方法可提供更精确的球顶厚度。与没有马赛克图案的容器和具有基于非大地运动轨迹的具有马赛克图案的容器相比，基于缠绕运动学的马赛克图案的并入提供了真实应力分布和应力值的更逼真的建模。