This work proposed a homogenized method to predict the modal properties of the three dimensional multi-axial hybrid composite. The multi-scale calculation process was characterized with a representative unit cell to derive the elastic parameters of the composite. Then the modal behaviors (natural frequency and modal shape) of the composite were simulated through the finite element method (FEM). The experimental modal analysis of key vibration parameters was conducted using a modal hammer with an acceleration sensor to verify the efficiency of the numerical results. The result shows that the maximum relative errors between experimental and FEM values of natural frequency are about 13%. Therefore, the numerical-experiment method could be used to predict the modal behavior of three dimensional multi-axial hybrids composite.

这项工作提出了一种均质化的方法来预测三维多轴混合复合材料的模态特性。多尺度计算过程以具有代表性的晶胞为特征，以推导出复合材料的弹性参数。然后通过有限元方法（FEM）模拟复合材料的模态行为（固有频率和模态形状）。使用带有加速度传感器的模态锤进行关键振动参数的实验模态分析，以验证数值结果的有效性。结果表明，固有频率的实验值与有限元值之间的最大相对误差约为13%。因此，数值实验方法可用于预测三维多轴混合复合材料的模态行为。