基于中面剪切应变精细化描述的复合材料旋转薄壁梁的动力学特性

DYNAMIC CHARACTERISTICS OF COMPOSITE ROTATING THIN-WALLED BEAMS BASED ON A FINE DESCRIPTION OF SHEAR STRAIN ON MID-SURFACE

  • 摘要: 旋翼桨叶是先进直升机的核心动力结构,常在高速旋转过程中因振动过量而失衡或失效,严重影响直升机的飞行安全。复合材料因其卓越的机械性能,广泛应用于旋翼桨叶的研发中。因此,准确预示复合材料桨叶的振动特性,对先进直升机的整体设计与日常维护具有重要意义。该文着重考虑了材料各向异性引起的薄壳中面剪切应变与其他中面应变、曲率及剪切流的耦合关系,简化桨叶为薄壁闭截面复合材料梁(TWCSCBs),采用Lagrange原理及假设模态法,推导出了复合材料旋转薄壁梁动力学方程。并通过与有限元仿真及文献结果的对比,验证了该文动力学模型的合理性及准确性。在此基础上,揭示了考虑材料各向异性引起的中面剪切应变各变形耦合项及剪切流对提升薄壁梁动力学模型精度的影响机制;结果发现,精细化表述剪切流对动力学建模精度的影响显著,其余耦合变形项的影响可忽略不计。

     

    Abstract: Rotor blade is the core power structure of advanced helicopter, which is often unbalanced or invalid due to excessive vibration during high-speed rotation, which seriously affects the flight safety of helicopter. Because of its excellent mechanical properties, composite materials are widely used in the research of the rotor blades. Therefore, accurately predicting the vibration characteristics of composite blades has great significance on the overall design and daily maintenance of advanced helicopters. The coupling relationship between the mid-surface shear strain and other mid-surface strain, curvature and shear flow caused by material anisotropy of the thin shell is considered. The simplified blade is the thin-walled closed-section composite beams (TWCSCBs). The Lagrange principle and the assumed mode method are used to derive the dynamic equation of the rotating thin-walled composite beam. The rationality and accuracy of the dynamic model are verified by comparison with the results of finite element simulation and literature. On this basis, the influence mechanism of the coupled deformation terms and shear flow in mid-surface shear strain caused by material anisotropy on the accuracy of the thin-walled beam dynamic model is revealed. The results show that the precise expression of shear flow has a significant effect on the modeling accuracy, and that the other coupled deformation terms have negligible effect.

     

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