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采用理论与实际相结合的方式,对悬臂状态下纤维增强复合薄板的固有频率进行了计算及验证.首先,针对纤维增强复合薄板的结构特点,考虑了纤维方向的影响,对其进行了理论建模.然后,基于正交多项式法来表示振型函数,并通过Ritz法对该类型复合薄板的固有频率进行求解.最后,搭建了该类型复合薄板结构的固有特性测试系统,并以TC500碳纤维/树脂基复合薄板为例,对其固有频率进行了测试.验证结果表明:基于正交多项式法的纤维增强复合薄板固有频率计算结果与实验结果的相对误差在2.2%~9.7%之间,进而验证了所提出的固有频率计算方法的正确性.
The natural frequency of the fiber-reinforced composite sheet in the cantilever state was calculated and verified by the combination of theory and practice.First, according to the structural characteristics of the fiber-reinforced composite sheet, taking into account the influence of the fiber direction, Then, based on the orthogonal polynomial method, the mode shape function is expressed, and the natural frequency of this type of composite thin plate is solved by Ritz method.Finally, the intrinsic characteristic test system of this type of composite thin plate structure is built, and the TC500 carbon fiber / The results show that the relative error between the calculated result and the experimental result of the fiber-reinforced composite sheet based on the orthogonal polynomial method is between 2.2% and 9.7%, and then verified The proposed method of calculating the natural frequency is correct.