不重叠多分层纤维增强复合梁固有频率分析及验证

首先，针对复合梁各向异性的特点，利用子结构分析法分段表达各子梁的振型函数，明确复合梁固有频率的求解原理;然后，基于Matlab编写计算程序，提出不重叠多分层复合梁固有频率的分析流程;最后，以TC500碳纤维/树脂基复合梁为研究对象，搭建了复合梁固有频率测试系统，测试获得其未分层、单分层和不重叠多分层损伤下的固有频率.研究发现，随着分层数量增加，固有频率逐渐下降，且随着模态阶次升高，对固有频率的影响愈发明显;同时，试验与计算结果的误差在1.06%~5.49%之间，验证了所提出计算方法的正确性.

Natural Frequency Analysis and Verification of Fiber-Reinforced Composite Beams with Non-overlapping Delaminations

Firstly， according to the anisotropic characteristics of composite beams， the vibrational function of each sub beam was expressed by substructure analysis method， and the theoretical solution principle of the natural frequency of composite beams was clarified. Secondly， based on Matlab software， an analysis process of the natural frequency was proposed and the calculation program was coded . Finally， an experimental application toward TC500 carbon fiber/resin matrix composite beam was carried out， that the natural frequencies of fiber-reinforced composite beam with non-overlapping delaminations were measured under the same boundary condition based on the established natural frequency test system. It was found that the natural frequencies decreases gradually as the delamination number increasing. Meanwhile， with the increase of modal orders， the influence of delaminations on the natural frequencies became more obvious. Furthermore， the related errors were within the range of 1.06%~ 5.49% by comparing experimental results with calculated results， which have verified the validity of the analysis method.