纤维螺旋缠绕管的缠绕角优化

为提高材料强度的利用效率，实现纤维缠绕管强度比沿壁厚的均匀分布，在内压和轴向力作用下，基于Tsai-Wu 准则，以沿壁厚方向的最小强度比最大化为目标，建立变缠绕角纤维缠绕管的最优化模型。提出将复合形法和梯度法相结合的改进优化算法，通过优化逐层变化的缠绕角使最小强度比最大化，实现强度比沿壁厚更均匀分布。以玻璃纤维管为例，在纯环向应力、环向应力与轴向应力之比为2：1和1：1的3 种工况下，研究不同壁厚条件下最优缠绕角分布及其强度比提升效果和均匀程度。结果表明：优化后结构的材料利用率明显提升，不同工况、壁厚对最优缠绕角的分布规律影响很大；最优缠绕角可以实现沿壁厚等强度。

Winding angle optimization of filament spiral wound pipe

More uniform strength for all layers can be achieved by variation of winding angle to improve the utilization efficiency of filament-wound (FW) pipe. An optimization model of FW pipe under uniform internal pressure and axial force is built based toTsai-Wu failure criterion to maximize the lowest strength ratio alongthickness direction. An improved optimization algorithm derived from two conventional methods (complex method and steepest descent method) is proposed by optimizing the winding angle of the layer by layer, and the minimum strength ratio is maximized. In three cases of pure hoop stress and the ratios of hoop stress to axial stress of 2:1 and 1:1, an optimization model ofpipes made of E-glass/epoxyisillustrated to evaluate the improvement of the minimum strength ratio and the uniformity of the optimized winding angle distributionunder different ratio of thickness to radius, respectively. The research shows that the material utilization can be increased by proper winding angle variation. A quite uniform distribution of strength ratio along thickness can be realized easily by the optimization of the winding angle.