复合材料环形高压容器缠绕参数设计与分析

针对诸如环形气瓶等圆环状压力容器的缠绕，提出同时满足结构特性和缠绕工艺性的参数设计方法以符合实际工程需要。推导了圆环面纤维不架空和不滑移判据；根据内压作用下纤维螺旋加环向缠绕环壳的平衡方程，考虑截面厚度变化和缠绕初始条件，给出了均衡缠绕参数及线型的确定方法，讨论了在不同管径比和厚度比下该线型路径的稳定性；以螺旋向铺层的初始缠绕角和厚度为变量，对结构进行重量最小化设计。作为算例，对纤隹缠绕环形高压气瓶在爆破压强为40—80MPa的范围内进行优化设计。结果表明，优化设计的均衡缠绕线型模式睛确可靠，满足纤维缠绕的基本要求，能充分发挥缠绕结构的力学性能。本文的设计计算方法可直接用于复合材辞环形气瓶的初步设计。

Design and Optimization of Winding Parameters for Filament-Wound Toroidal Pressure Vessels

Filament-wound pressure vessels demand both structural optimization and winding stability. This research aims to establish a pattern design and optimization method of filament-wound toroidal pressure vessels under internal pressure. The general criterion for fiber bridge and slippage on torus were obtained derived from differential geometry. According to netting theory, the equicohesive pattern taking into account the variation of the laminated thickness were gained by the equilibrium equations of helical with hoop wound toroidal shell. The winding stability was investigated by different relative bend radius and the thickness ratio of hoop to helical winding laminates. The initial helical winding angle and the laminated thickness were considered as design variables, while the minimum structural mass as the objective function. As a calculated example, the optimum design was provided for a filamentwound toroidal pressure vessel under internal pressure ranging between 40MPa and 80MPa. The results show that the optimum parameters were efficient for the convergence and the equicohesive pattern satisfy the winding principles. The comprehensive structural performance of the toroidal pressure vessels can be remarkably promoted by utilizing this pattern. The numerical example shows that the recommended calculation method can be applied to the preliminary design of fdament-wound toroidal pressure vessels.