热振环境下纤维增强悬臂复合薄板振动响应分析与验证

摘要

The vibration response of fiber-reinforced cantilever composite thin plate in thermal vibration environment is analyzed based on theory and practice.With consideration of the influence of base excitation load,a theoretical model of cantilever composite thin plate is established,and the vibration responses are obtained by the two-dimensional beam function method.The theoretical model of composite thin plate is modified based on the measured natural frequencies,damping ratio and modal shapes at room temperature,so that the material parameters,such as elastic modulus and loss factor,can be accurately obtained,and the vibration response can be calculated by the modified theoretical model.TC500 fiber/epoxy composite plate is taken as an object of study,and its vibration responses are measured using the established vibration test system in thermal vibration environment.The measured results show that the error between theoretically calculated result and experimental result is in the range from 1.4％ to 12.5％,thus verifying the effectiveness of the proposed theoretical method.%采用理论与实际相结合的方式,研究了热振环境下纤维增强悬臂复合薄板的振动响应.建立了热振环境下纤维增强悬臂复合薄板的理论模型,并考虑基础激励载荷的影响,利用双向梁函数法求解获得其振动响应.基于常温下测试获得的固有频率、阻尼比和模态振型来修正理论模型,以准确获得弹性模量、损耗因子等材料参数,并利用修正后的复合薄板理论模型来计算振动响应.搭建了热振环境下该类型复合薄板结构的振动测试系统,并以TC500碳纤维、树脂复合薄板为研究对象,进行了实际测试.测试结果表明,热振环境下悬臂复合薄板振动响应计算结果与测试结果的误差在1.4％ ～12.5％之间,进而验证了所提出的理论分析方法正确性.