In the current study, Composite Overwrapped Pressure Vessels (COPVs) with various geodesic dome profiles have been built and their modal and random vibration responses were numerically examined. In this regard, geodesic dome profiles were established for five different polar opening radii of 10, 15, 20, 25, and 30 mm, and thus the impacts of fibre orientations on vibration characteristics depending on the filament winding trajectories were discovered. Furthermore, non-prestressed modal and random vibration responses for COPVs, as well as prestressed vibration behaviours under 50, 100, and 150 Bar internal pressure, were investigated and thus the effects of internal pressure severity on dynamic characteristics were identified. The study found that higher polar opening radius triggered a reduction in the natural frequencies, and these reductions were linked to an increment in the filament winding angle, and a consequent deterioration in the structural stiffness of COPVs. On the other hand, raising the internal pressure severity shifts the natural frequencies to higher frequencies, which are also attributed to ascended structural stiffness. Furthermore, it was established that internal pressure severity and polar opening radius had a coupled effects on the modal and random responses, and that both parameters should be evaluated simultaneously.

中文翻译：

---

具有各种测地圆顶轨迹的复合材料包裹压力容器的模态和随机振动响应

在当前的研究中，已经建造了具有各种测地圆顶轮廓的复合材料包裹压力容器（COPV），并对其模态和随机振动响应进行了数值检查。在这方面，针对10、15、20、25和30毫米的五种不同极开口半径建立了测地圆顶轮廓，从而发现了纤维取向对取决于长丝缠绕轨迹的振动特性的影响。此外，还研究了 COPV 的非预应力模态和随机振动响应，以及 50、100 和 150 Bar 内压下的预应力振动行为，从而确定了内压强度对动态特性的影响。研究发现，较高的极开口半径会导致固有频率降低，而这些降低与长丝缠绕角度的增加以及随之而来的 COPV 结构刚度的恶化有关。另一方面，提高内部压力强度会将固有频率转移到更高的频率，这也归因于结构刚度的上升。此外，还确定内部压力强度和极开口半径对模态和随机响应具有耦合影响，并且应同时评估这两个参数。