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研究各向同性材料内胆外对称均衡缠绕纤维的厚壁圆柱形容器在内外压力作用下的应力和强度特性。采用正交各向异性本构关系和轴对称厚壁筒理论,获得纤维层和内胆的应力,以及纤维方向三向应力的解析公式。利用Hoffman和Tsai-Wu失效准则研究薄壁筒理论和三维应力对应的强度随壁厚和缠绕角的分布规律。计算比较了有、无内胆的纤维缠绕容器的强度随缠绕角的变化情况。利用ANSYS软件的层合单元SOLID191建立的模型给出的纤维向应力和强度比与本文理论结果吻合很好。研究发现:基于层合板理论的二维纤维向应力公式给出了不准确的纤维向应力,不准确的横向应力造成容器纤维层的强度值偏低;不同的纤维类型和缠绕角,厚度-半径比对强度比的影响不同;基于二维应力分析的薄壁筒理论给出的纤维层强度比小于三维分析的结果;缠绕角对无内胆的缠绕容器强度比的影响比有内胆的更敏感。
The stress and strength characteristics of thick-walled cylindrical vessels with isotropic external bilaterally symmetric entangled fibers under internal and external pressures were investigated. Orthogonal anisotropy constitutive equations and axisymmetric thick-walled tube theory were used to obtain the stress of fiber layer and liner and the analytical formula of three-direction stress in fiber direction. Using the Hoffman and Tsai-Wu failure criterion, the distribution of the strength of thin-walled tube theory and three-dimensional stress with wall thickness and winding angle was studied. Comparisons were made between the strength of the filament wound containers with and without the liner as a function of the winding angle. The model developed by ANSYS laminated unit SOLID191 shows that the fiber stress and strength ratio agree well with the theoretical results in this paper. The results show that the two-dimensional fiber-to-stress formula based on laminate theory gives inaccurate fiber-to-fiber stress and the inaccurate transverse stress causes the fiber layer to have a low strength value. Different fiber types and winding angles, thickness-radius The strength ratio is different than the strength ratio; the thin-walled cylinder theory based on two-dimensional stress analysis gives the fiber layer strength ratio less than the results of three-dimensional analysis; winding angle on the strength of the container without the gall bladder ratio than the more liner sensitive.