湿热环境对旋转复合材料梁摆振特性的影响
Influences of hygrothermal environment on lead-lag vibration characteristics of rotating composite beams
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摘要: 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。Abstract: First, the expressions of axial force and bending moment for the rotating composite beams were deduced based on the constitutive relations of composites under hygrothermal environment. The influences of temperature and humidity on axial force and bending moment were analyzed. Then, the d'Alembert principle was employed to establish the lead-lag vibration governing equation for the rotating composite beams. The temperature and humidity effects on the stiffness of rotating composite beams were investigated after solving the equation by Galerkin method. Finally, the effects of hygrothermal environment on lead-lag vibration dynamic characteristics of rotating composite beams were analyzed by numerical simulation. The results show that hygrothermal environment affects lead-lag vibration frequency and modal of rotating composites beams conspicuously. Lead-lag vibration frequency decreases when the hygrothermal environment exacerbates. The effect of thermal expansion on lead-lag vibration frequency is more obvious than that of material properties variations. The combined effect of hygrothermal environment and rotating result in the obvious locational excursion of modal nodes.