基于半理论法预测基础激励下纤维增强悬臂梁结构应变能

提出了半理论法预测基础激励下纤维增强悬臂梁结构应变能。首先，建立了基础激励下纤维增强复合梁结构的应变能分析模型。然后，明确了采用半理论法预测纤维增强悬臂梁应变能的相关原理，并给出预测纤维增强悬臂梁应变能的具体流程。最后，测试获得该类型梁结构在某基础激励幅度下的振动位移响应，验证所建立的应变能分析模型的正确性，可以采用半理论法来分析预测复合梁的应变能，同时还与相同尺寸的铝合金梁的预测结果进行了对比。结果证明:在相同激励幅度下，纤维增强悬臂梁的应变能相对于铝合金梁结构要低于24%~36%，可以利用应变能指标来客观评价复合结构件相对于金属构件的减振能力。 

Prediction of strain energy of fiber reinforced cantilever beam structure under base excitation based on semi theoretical method

Semi theoretical method was proposed to predict the strain energy of fiber reinforced cantilever beam under base excitation. Firstly, strain energy analysis model of fiber reinforced composite beam structure was established. Then, the principle of semi theoretical method to predict strain energy of fiber reinforced cantilever beam was elaborated, and the corresponding prediction procedures of strain energy were also described. Finally, the vibration displacement responses of such composite beam structure under base excitation of certain level were measured and the correctness of strain energy analysis model was verified. It was proved that the semi theoretical method can be used to analyze and predict the strain energy of composite beams, and the predicted results were also compared with those of aluminum alloy beams with the same dimension parameters of such composite beams. It can be found that the strain energy of fiber reinforced cantilever beam was 24%-36% lower than that of aluminum alloy beam under the same excitation amplitude, and strain energy index indeed can be used to evaluate the damping capacity of composite structure compared with metal structure.