## 1 Introduction  
In practical engineering applications, in order to reduce the weight of the shaft-disk rotor, improve the vibration noise phenomenon, eliminate internal stress, and other purposes, the rotor disk is often used to open the weight reduction holes, as well as for the replacement of rotor materials and other methods. At this time, the performance enhancement effect brought about by the material change and the hole parameters on the vibration performance of the system are important aspects of rotor dynamics research. Among the existing emerging composites, fiber woven composites, in addition to possessing many advantages such as low density, excellent physical and mechanical properties, good heat resistance, etc., also have better designability, processability, and lower manufacturing cost compared to ordinary fiber-reinforced, functional gradient, and other composites, which have broad application prospects in the fields of aerospace and rail transportation. Therefore, this material is one of the ideal materials for shaft-disk rotor preparation. The current research on fiber woven composites is mainly based on simulation and experimentation, and generally adopts the multi-scale modeling method [1] to achieve the modeling of fiber woven composites from the microscopic scale to the mesoscopic scale (representing the volumetric unit) and then to the macroscopic scale. The research includes the physical and mechanical properties [2] and the damage behaviors [3, 4] of the fiber woven composites and their structures. In terms of dynamics research, single structures such as fiber woven composite plates/shells are mostly taken as the analysis objects. [PERSON] and [PERSON] [5] carried out an experimental study on the dynamic properties of intra-ply woven carbon fiber/epoxy hybrid composites using fiber orientation as a comparative variable and found that the structural intrinsic frequency decreases with the increase in the orientation angle. [PERSON] et al. [6] fabricated woven carbon fiber-reinforced composites gears by using a hot-press curing method, and found that, after high week fatigue testing, woven carbon fiber-reinforced composite gears have longer fatigue lives and better mechanical properties than ordinary composite gears. The above studies are based on experiments, which are highly referable and relevant, but this also results in the singularity of the research object. [PERSON] et al. [7] applied the three-dimensional finite element method to model the carbon fiber plain weave material and used a two-step homogenization method to obtain the mechanical properties of the material, then investigated the free vibration characteristics of the carbon fiber plain weave cylindrical shells and came up with the conclusion that increasing the total fiber volume fraction leads to a linear increase in the intrinsic frequency of the structure It can be seen that the related dynamics research also mostly adopts finite element software, which has the disadvantages of difficult modeling and being time-consuming when facing complex research objects. For rotating members, open holes, while affecting the internal mechanical properties of the structure [8], also change their dynamic properties, such as natural frequency and critical speed. Therefore, the problem of modeling the dynamics of open-hole structures and their dynamic properties has attracted the attention of many scholars. In addition to numerical analytical methods to characterize the hole boundaries, existing studies also treat the holes as virtual structures. [PERSON] et al. [9; 10] treated irregular holes as virtual plates with zero density and [PERSON]'s modulus, treated a perforated plate as an equivalent rectangular plate with inhomogeneous thickness, and solved the free vibration characteristics of the structure by using a spectral geometry method. Furthermore, subdomain decomposition of a porous plate/shell, thus converting the open-hole problem into a coupled problem of multiple non-hole plates/shells, is also a common approach to porous structures.