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纤维缠绕过程会在局部区域形成纤维束的起伏、交织。针对起伏区域纤维束的非正交交织的特点,提出一种缠绕复合材料刚度的计算方法:先通过螺旋缠绕角度和起伏层倾斜角度,将三维刚度进行两次转换,然后将转换后的起伏区域的三维刚度转化成缠绕层面内二维有效刚度;利用二维有效刚度,将缠绕复合材料刚度系数Aij、Bij和Dij各项在起伏区域上进行数值积分取平均值,再利用转换矩阵得到缠绕复合材料的整体刚度矩阵。算例的结果表明,考虑了纤维束的起伏、交织后缠绕复合材料刚度矩阵发生了一些变化,特别是耦合刚度的变化更为明显。
Fiber winding process will be formed in the local area of the fiber bundle ups and downs, intertwined. Aiming at the non-orthogonal interweaving of the fiber bundles in the undulating region, a method for calculating the stiffness of the composite material is proposed. Firstly, the three-dimensional stiffness is converted twice by the helical winding angle and the undulating layer inclination angle, and then the converted undulating region Dimensional stiffness is transformed into the two-dimensional effective stiffness in the winding plane. Using the two-dimensional effective stiffness, the stiffness integrals Aij, Bij and Dij of the composite material are numerically integrated and averaged in the undulating region, and then the conversion matrix is used to obtain the winding composite The overall stiffness matrix of the material. The results of the example show that the variation of the stiffness of the composite material after interlacing has been taken into account, taking into account the fluctuation of the fiber bundles, especially the change of the coupling stiffness.