A method for predicting dome thickness layer by layer of filament wound composite pressure vessel
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摘要: 受纤维缠绕成型工艺和封头段变曲率/厚度等的影响,复合材料压力容器封头段受力状态较为复杂,实现对封头段缠绕层厚度的逐层精准预测,对于构建高精度有限元模型、指导工程应用具有重要意义。针对上述问题,本文基于双公式法及三次样条函数法,发展了一种复合材料压力容器封头缠绕层厚度逐层预测方法,研究了极孔半径、单层纱带厚度和缠绕层数对封头厚度和赤道圆处缠绕角的影响。结果表明:随着极孔半径增大及单层纱带厚度减小,封头段纤维缠绕层厚度极值逐渐减小,赤道圆处缠绕角度的变化随极孔半径与单层纱带厚度减小逐层减小;进一步地,通过对比封头段每层缠绕层厚度,发现各缠绕层厚度由内层到外层随着平行圆半径增大呈现先变大后减小最终趋于相同的趋势。Abstract: Due to the influence of fiber winding molding process and the variable curvature/thickness of the dome, the stress state of the dome of the composite pressure vessel was relatively complicated. It was of great significance to accurately predict the thickness of the winding layer of the dome, which was of great significance for constructing a high-precision finite element model and guiding engineering applications. In order to solve the above problems, this study developed a layer-by-layer prediction method for the winding layer thickness of composite pressure vessel dome based on the dual formula method and cubic spline function method. The effects of polar hole radius, the thickness of single-layer yarn thickness and number of winding layers on the thickness and winding angle of the dome were studied. The results show that as the polar hole radius increases, the thickness of the single-layer yarn sheet in the dome decreases gradually, the extreme value of the fiber winding layer of the dome gradually decreases, and the variation of winding angle at the equatorial circle decreases with the decrease of the radius of the polar hole and the thickness of single-layer yarn. Furthermore, by comparing the thickness of each layer of the dome, it is found that the thickness of each winding layer from the inner layer to the outer increases first, then decreases, and finally tends to be the same as the radius of parallel circle increases.
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表 1 封头纤维缠绕层参数
Table 1. Parameters of the dome fiber winding layer
r0/mm R/mm tp/mm b/mm h/mm tR/mm 110 372.5 0.765 5.39 213 1.445 Notes: "r0" means the radius of the polar hole, "R" means the radius of the straight barrel section, "tp" means the thickness of the single-layer yarn sheet, "b" means the width of the yarn band, "h" means the height of the dome, "tR" means the thickness of spiral winding layer. 表 2 不同极孔半径时赤道圆处的缠绕角的变化情况
Table 2. Change of winding angle at the equatorial circle with different pole hole radius
Pole radius
r0/mmFirst layer winding angle α/(°) Second layer winding angle α/(°) Winding angle change α/(°) 30 4.6194 4.6099 0.0095 70 10.8314 10.8089 0.0225 110 17.1756 17.1394 0.0363 表 3 不同纱带厚度时赤道圆处缠绕角的变化情况
Table 3. Change of winding angle at the equatorial circle with different thickness of fiber bands
Thickness of a fiber band tp/mm First layer winding angle α/(°) Second layer winding angle α/(°) Winding angle change α/(°) 0.3 17.1756 17.1614 0.0142 0.5 17.1756 17.1519 0.0237 0.765 17.1756 17.1394 0.0363 -
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