| Citation: |
LI Yao, WU Liwei, ZENG Qi, et al. Rotational deformation research of polar braided composite rotor based on variable unit model[J]. Acta Materiae Compositae Sinica.
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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.
Polar braided composite rotors have attracted much attention due to their lightweight and high radial strength. However, the radial yarn introduced with the increase of radius forms a preform with non-uniform structure, which produces more complex mechanical properties. Therefore, it is necessary to construct a polar braiding model that can accurately describe such structural changes in order to further explore its mechanical properties. In this paper, an analysis model based on variable unit is constructed, which can more effectively describe the microstructure of polar braided composites and deeply explore the deformation behavior of polar braided composites rotor under rotating load.
In this paper, three types of representative volume elements (RVE) are constructed for the introduction of radial yarn in polar braided structures, and a complete analysis model of polar braided composites is realized by combining RVEs. The bridge model is used to calculate the elastic constitutive of the variable unit, and the uniaxial tensile test is used to verify the constitutive of the element. Then, the deformation behavior of the polar braided composite rotor under rotating load is analyzed by comparing the homogenization model. Finally, the influence of braiding density parameters on the mechanical properties of the composite rotors is revealed.
The analytical model of the polar braided composite rotor constructed by the variable units is in good agreement with the experimental results, and the error values are 7.3 % and 8.3 %, respectively. The stress distribution of the three types of structures is also different. The stress peaks of W5R5 and W7R3 appear in the inner hole of the rotor, while the stress peaks of W3R7 are generated in the rotor body. In addition, due to the lack of supplement yarn structure characteristics, the calculated inner hole stress results of the homogenization model are 4.2 MPa, 10.1 MPa and 27.3 MPa higher than those of the corresponding variable unit model, respectively. The structural difference between the units caused by the supplement yarn leads to the stiffness difference. The lower the radial yarn arrangement density, the smaller the stiffness difference of the unit. The average difference of radial stress on both sides of RVE-c of W3R7, W5R5 and W7R3 is 22.4 MPa, 37.8 MPa and 63.9 MPa respectively, and the difference of circumferential stress is 6.5 MPa, 10.6 MPa and 16.5 MPa respectively. The maximum stress difference observed in W3R7, W5R5, and W7R3 is 4.1 MPa, 6.0 MPa, and 6.5 MPa, respectively.
(1) The three types of meso-structures of the polar braided composite rotor are described by geometric method, and the parametric characterization of the element structure characteristics of the variable unit model is realized. The established elastic constitutive relationship of the polar braided composite rotor is verified by tensile experiments. The results show that the change element model is in good agreement with the tensile test results. (2) Due to the difference of arrangement density between radial yarn and circumferential yarn, the stress concentration position of the rotor is changed. Among them, the stress peaks of W5R5 and W7R3 appear in the inner hole of the rotor, while the stress peak of W3R7 appears in the rotor body. The homogenization model lacks the supplement yarn structure characteristics of the variable unit model, which makes the stress calculation result of the inner hole higher than that of the variable unit model. (3) The variable unit model describes the structural characteristics of the yarn. The difference of the element structure caused by the yarn leads to the difference of the stiffness and the stress concentration between the elements. The lower the radial yarn arrangement density is, the smaller the stiffness difference of the unit is, and the less obvious the stress concentration phenomenon is. (4) The main stress of rotor rotation deformation is borne by the circumferential yarn, and the deformation of the inner hole is only controlled by the circumferential yarn. The increase of the density of the radial yarn can weaken the deformation of the outer edge of the rotor and reduce the stress level of the outer edge of the rotor. (5) Different yarn position caused the difference of rotor stress distribution. With the increase of the number of yarns, the stress unevenness of the rotor is more significant.
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