热环境对基础激励作用下纤维增强树脂基复合薄板振动特性的影响
Influence of thermal environment on vibration characteristic of fiber-reinforced resin composite thin plate under base excitation

采用理论与实际相结合的方式，研究了热环境对纤维增强树脂基复合薄板振动特性的影响。首先，建立了基础激励作用下纤维增强树脂基复合薄板在热环境中的解析模型，推导获得了固有频率、模态振型、振动响应及阻尼比的解析表达式，并给出了热环境下复合薄板振动特性的求解流程。然后，搭建了热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/树脂薄板为研究对象进行了实际测试。以相应的测试结果为例，研究发现，当温度从20℃上升到200℃时，复合薄板的模态振型基本不发生改变，固有频率降低幅度在2.3%~36.6%之间，振动响应幅值增大范围约为15.3%~58.4%，且阻尼性能也呈现增大的趋势，例如相对于常温下的阻尼结果，当温度上升到200℃时，其前6阶模态阻尼比的增大程度在13.9%~56.4%之间。另外，经过对比理论和测试获得的不同温度下的固有频率、模态振型、振动响应及阻尼结果可知，两者吻合较好，进而验证了解析分析方法及其结果的正确性。 This research combines theory with experiment to study the influence of thermal environment on the vibration characteristics of fiber-reinforced resin composite thin plate. Firstly, with consideration of the influence of base excitation load, the analytical model of fiber-reinforced resin composite thin plate was established in thermal environment and the analytical formulas of calculating the natural frequencies, modal shapes, vibration responses and damping ratios were derived, so that the corresponding solving procedure of vibration characteristic of such composite plate can be summarized. Next, TC500 fiber/epoxy composite plate was taken as a study object and its vibration characteristic was measured based on the established vibration test system in thermal environment. It has been found from the experimental results that when the temperature increases from 20℃ to 200℃, the modal shapes of composite thin plate can hardly be changed, while the natural frequencies will decrease between the range of 2.3%-36.6%, the vibration responses will increase between the range of 15.3%-58.4% and damping property also shows the upward tendency, e.g. when the temperature reaches to 200℃, the first 6 damping ratios will rise from 13.9% to 56.4% compared with the ones at room temperature. Besides, by comparing the theoretically calculated frequencies, shapes, vibration responses and damping parameters with the corresponding experimental results in different thermal environments, there is a good agreement between them. Therefore, the correctness of the analysis method and its results have been verified. 国家自然科学基金（51505070）；中央高校基本科研业务费专项资金（N150304011；N160313002；N160312001）；东北大学航空动力装备振动及控制教育部重点实验室研究基金（VCAME201603