## 1 Introduction
Such methods are not limited to specific hole types and specific plate and shell structures, and are highly applicable and operable. [PERSON] [11] took laminated closed cones, cylindrical shells, and annular plates containing regular holes as the object of study and proposed a new, meshless method to solve their free vibration characteristics, in which the open-hole structure is decomposed into multiple non-hole unclosed shells, which are mainly aimed at simple collocated structures with regular hole types and plates/shells. [PERSON] [12] combined the artificially connected spring technique and the domain partition integration method to develop a free vibration analytical model for arbitrarily shaped plates with different cutouts, and the analysis found that the variation in the hole size would have an irregular effect on the natural frequency of the plate. [PERSON] et al. [13], based on the proportional boundary finite element method, the exact integration method, and the degree of freedom transformation technique, performed free vibration analysis on single and laminated single and stacked composite plates with multiple cutouts, and the results were summarized in the following table. The free vibration analysis of composite panels with multiple cutouts is summarized by the fact that the boundary conditions, thickness-to-length ratio, and hole size have significant effects on the distribution of the intrinsic frequency of the panels with the cut-outs. [PERSON] et al. [14; 15] divided the open-pore plywood into multiple quadrilateral/triangular units, solved the unit energy equations by means of coordinate transformation, coupled the units with the help of virtual springs, and then deduced the uniform in-plane vibration solutions for irregular plywood with complex holes under different boundaries. Rotor systems are widely used in aviation, shipbuilding, power generation, and other fields. The related dynamics analysis is an important part of its dynamics design. The thin-disk rotor is a typical structure in the rotor system, which often works at a high rotational speed and in a high load-bearing environment. The traditional mass-point equivalent simulation of the thin disk modeling method is no longer applicable, and there is a need to take into account the flexibility of the thin-disk structure, which putsmore demand on the dynamics of the rotor-modeling methodology and the breadth of the analysis. This puts forward higher requirements for rotor dynamics modeling methods and analysis. For the shaft-disk rotor, the existing research focuses on investigating its dynamic characteristics, such as vibration [16], response [17] and nonlinearity [18; 19]. [PERSON] and [PERSON] [20] treated both the shaft and disk as flexible bodies and used the assumed modal method to develop a vibration model of the rotor system. They pointed out through analysis that the position of the flexible disk had a significant effect on the system's intrinsic frequency and critical speed. [PERSON] et al. [21], on the other hand, investigated the coupling behavior of the flexible shaft-disk assembly under asymmetric support conditions. [PERSON] et al. [22] proposed a unified modeling method for rotating flexible shaft-disk systems based on the Kirchhoff and Euler-Bernoulli beam theories, as well as a unified modeling approach for rotating flexible shaft-disk systems. Furthermore, the dynamic modeling and characterization of complex systems, such as the shaft-disc-vane system [23; 24; 25], shaft-disc-drum system [26; 27], and cracked rotor [28; 29; 30], are also directions of rotor research that are constantly being more deeply investigated. With the rise of new materials with excellent mechanical properties, such as composites, scholars have begun to consider changing the materials of the rotor structure to meet the requirements of the system, which include light weight and high speed. [PERSON] et al.