## 4 Conclusions  
In this paper, the application of a fiber woven composite material to the disk of a shaft-disk rotor is proposed, and the domain decomposition method and coordinate mapping technique are introduced for the porous disk. Then, a dynamic modeling method applicable to the rotor with any complex hole types is given. Based on Timoshenko beam theory and FSDT, the energy expression of the shaft-disk rotor model is derived, and a rotor dynamics model of fiber woven material applicable to arbitrary hole shapes is established by DQFEM. The constructed model is verified to have good convergence, accuracy, and practicability after comparative tests in the literature, finite element simulation, and an experiment. A subsequent parametric study based on the proposed model was carried out, and the following conclusions were drawn:  
1. The existing fiber woven composite rotor model has good convergence and accuracy, while the disk's mass is reduced by 82.6% and the first-order coupled natural frequency is slightly reduced compared to the steel rotor.
2. The 1 st and 4 th coupled modes of the rotor are dominated by the displacement of the disk, while the 2 nd- and 3 rd-order modes contain the deformation of each structure, in which the disk displacement in the 2 nd mode is mainly determined by the displacement of the coupling point on the shaft.
3. The hole type on the disk directly affect the 3 rd critical speed of the rotor, which is ranked in descending order as \"no hole > round hole > curved hole > sector hole\".
4. Taking the rotor with circular holes as an example, the increase in the total fiber volume fraction \(V_{t}\), the hole eccentricity \(R_{h}\) and the hole number \(N\), as well as the decrease in the hole radius \(r_{h}\), all enhance the 3 rd coupled natural frequency and the critical speed of the river woven composite rotor system. Among them, the effect of the hole radius is the most significant.  
Conceptualization, T.L. and Q.W.; methodology, H.Z.; software, M.S.; validation, H.Z., M.S. and Z.L.; formal analysis, H.Z.; investigation, H.Z.; resources, H.Z.; data curation, Z.L.; writing--original draft preparation, H.Z.; writing--review and editing, T.L.; visualization, M.S.; supervision, Q.W.; funding acquisition, Q.W. All authors have read and agreed to the published version of the manuscript.  
Figure 17: Modal shapes of fiber woven composite rotor systems with different hole eccentricities \(R_{h}\).  
**Funding:** This research was funded by the National Natural Science Foundation of China grant number [52075554], the Natural Science Foundation of Hunan Province of China grant number [2021J]30841 and 2022J]20070], Central South University Innovation-Driven Research Program, China grant number [2023 CXQD049].  
**Institutional Review Board Statement:** Not applicable.  
**Informed Consent Statement:** Not applicable.  
**Data Availability Statement:** The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding authors.  
**Acknowledgments:** The authors would like to thank the anonymous reviewers for their very valuable comments. The authors also gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant No. 52075554), the Natural Science Foundation of Hunan Province of China (2021J]30841 and 2022J]20070), and Central South University Innovation-Driven Research Program, China (Grant No. 2023 CXQD049).  
**Conflicts of Interest:** The authors declare no conflict of interest.