复合材料球形气瓶非测地线缠绕线型设计和强度分析

碳纤维复合材料球形气瓶因其较高的比强度、比刚度和抗疲劳性,被广泛应用于航空航天及民用工业领域。基于微分几何理论,推导出满足球形气瓶缠绕基本原理的落纱点轨迹方程,给出缠绕线型轨迹和缠绕角应该满足的稳定缠绕条件,并对缠绕轨迹进行仿真。考虑球壳的变曲率特点,针对球形气瓶缠绕层进行变厚度、变角度的精细化有限元建模,对工作压力下的气瓶内衬和缠绕层各向应力分布进行数值模拟和分析,并预测了气瓶的爆破压强。结果表明,优化设计得到的缠绕线型参数既能满足缠绕工艺的基本要求,又有效提高了球形气瓶的结构力学性能。研究成果对复合材料球形压力容器的设计制造具有重要的意义。

RESEARCH ON NON-GEODESIC WINDING LINEAR DESIGN AND STRENGTH ANALYSIS OF COMPOSITE SPHERICAL GAS CYLINDER

Carbon fiber winding spherical gas cylinders have been widely used in aerospace and civilian industry for its high specific strength and stiffness,and fatigue resistance.Based on the differential geometry,the trajectory equation of the doffing point satisfying the basic principle of spherical gas cylinder winding was derived.The fiber trajectories for non-geodesic over wound spherical gas cylinders and related stable winding condition were given.Then,the winding trajectories were simulated.Considering the variable curvature of spherical shells,the winding angle and thickness of winding layer were designed by Finite Element Analysis.By this method,the stress distribution of the aluminum liner and the winding layer were analyzed at the operating pressure.The bursting pressure of the spherical gas cylinders was also predicted.The results show that the optimal winding parameters simultaneously satisfy the basic requirements of the winding technology and improve the mechanical performance of the spherical gas cylinders effectively.The results of this paper are of important significance to design and manufacture the composite spherical pressure vessels.