基于变化单元模型的极性编织复合材料转子旋转变形研究

Rotational deformation research of polar braided composite rotor based on variable unit model

  • 摘要: 极性编织复合材料转子因其轻量化、高径向强度而受到广泛关注,但因其通过引入径向纱形成了特殊的极性编织预制体结构,并产生了极为复杂的力学性能影响。本文针对极性编织预制体结构中径向纱的引入规律,划分出三类代表性体积单元(RVE),以此构建一种基于变化单元的分析模型。同时,利用桥联模型对变化单元弹性本构进行计算。为进一步探讨极性编织复合材料转子在旋转载荷作用下的力学行为,建立了有限元模型,并对比分析了变化单元模型与均质化模型在三种不同编织参数下的应力和变形特征。结果显示,编织参数不同造成了转子应力集中位置改变;变化单元模型有效描述了转子的结构特征,加纱结构造成了不同单元间的刚度差,因此产生了应力集中现象;随着编织参数改变,局部位置的RVE-c两侧的径向应力平均差值分别为22.4 MPa、37.8 MPa、63.9 MPa,环向应力差值分别为6.5 MPa、10.6 MPa、16.5 MPa;环向纱和径向纱密度增加,分别降低了转子内孔和外缘的应力水平;加纱位置引起了转子应力分布的差异,同时随纱线排列密度变化,其应力分布曲线差异更为显著。

     

    Abstract: Polar braided composite rotors have received extensive attention due to their lightweight and high radial strength. However, due to their complex fiber structure, further research on mechanical properties is urgently needed. In this paper, based on the meso-structure characteristics of the polar braided composite rotor, a variable unit model was constructed, and three representative volume elements (RVE) based on the yarn structure were described. The elastic parameters of the variable unit model were calculated. The accuracy and effectiveness of the variable unit model were verified by tensile experiments. In order to further explore the mechanical behavior of the polar braided composite rotor under rotating load, a finite element model of the rotating deformation of the composite rotor was established, and the stress and deformation characteristics of the variable unit model and the homogenization model under three different braiding parameters were compared and analyzed. The results show that the different braiding parameters cause the change of the stress concentration position of the rotor. Compared with the homogeneous model, the variable unit model describes the yarn structure characteristics of the rotor. The yarn structure causes the stiffness difference between different units and the stress concentration phenomenon. With the change of braiding parameters, the average difference of radial stress on both sides of RVE-c in local position is 22.4 MPa, 37.8 MPa and 63.9 MPa, respectively, and the difference of hoop stress is 6.5 MPa, 10.6 MPa and 16.5 MPa, respectively. The increase of the density of the circumferential yarn and the radial yarn reduces the stress level of the inner hole and the outer edge of the rotor respectively. The difference of rotor stress distribution is caused by the yarn position, and the difference of stress distribution curve is more significant with the change of yarn arrangement density.

     

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