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首先,基于复合材料在湿热环境下的本构关系推导了旋转复合材料梁轴力和弯矩的表达式,分析了温度和湿度对轴力和弯矩的影响,然后,基于d’Alembert原理建立了旋转复合材料梁摆振控制方程,并应用Galerkin法进行求解,分析了温度和湿度对旋转复合材料梁刚度的影响,最后,通过数值模拟讨论了湿热环境对旋转复合材料梁摆振动力学特性的影响。结果表明:湿热环境对旋转复合材料梁的摆振频率和模态影响显著,摆振频率随湿热环境加剧而降低,热膨胀效应对摆振频率的影响大于材料性能变化对其的影响,湿热环境与旋转的联合作用使模态的节点位置发生明显偏移。
First of all, based on the constitutive relation of composite material in hot and humid environment, the expressions of axial force and bending moment of rotating composite beam are deduced. The influence of temperature and humidity on axial force and bending moment is analyzed. Then, based on the d’Alembert principle The governing equations of the rotating composite beam were established and solved by Galerkin method. The influences of temperature and humidity on the stiffness of the rotating composite beam were analyzed. Finally, the vibration characteristics of the rotating composite beam were discussed by numerical simulation. influences. The results show that the hot and humid environment has a significant influence on the shimmy frequency and mode of the rotating composite beam. The shimmy frequency decreases with the increase of the hot and humid environment. The effect of thermal expansion on the shimmy frequency is greater than the change of the material properties. The combined effect of rotation causes a significant shift in the modal node position.