## 1 Introduction  
In the late 1990s, [PERSON] and [PERSON] proposed a hybrid statistical energy model (FE-SEA) combined with the finite element method [1]. In this method, the local finite element model is used as a grid model instead of some statistical energy plates. It is suitable for a plate with a small area and complex and changeable surface shape, which improves the calculation accuracy of low and middle frequency. The boundary region connection form of finite element subsystem and statistical energy subsystem is the key to the successful application of this hybrid method in the engineering field. This is because it involves the conversion of two noise calculation methods in the whole calculation process [2]. Important parameters such as transfer loss, vibration energy, and sound energy are obtained by the traditional finite element method, and the traditional statistical energy analysis method and hybrid method are compared and analyzed. It is found that the accuracy of the hybrid method is higher than that of the other two methods in calculating the intermediate frequency noise. This method can be embedded in the Monte Carlo algorithm to realize acoustic calculation with uncertain structural parameters [3]. A lot of work has been done on the structure and parameters of hybrid models. [PERSON] and [PERSON] [2,4] derived the hybrid connection equation of the FE plate subsystem and cavity system, which solved the coupling transfer problem between structure and cavity. FE-SEA hybrid method can be used to solve the response trend of the system in the case of subsystem uncertainty. In this kind of problem, there are two aspects of uncertainty, one is non-parametric uncertainty (SEA subsystem) and the other is parametric uncertainty (FE subsystem). However, the algorithm of the proposed method requires a large amount of calculation. Some literature [5] uses the first-order reliability method and Laplace method to solve the response trend of the system. The above research has made a preliminary exploration of the FE-SEA principle, but the processing method of the calculation results is still relatively simple, only considering the energy transfer relationship between adjacent subsystems. In the application of hybrid models, [PERSON] et al. [3] established an FE-SEA hybrid model including the whole interior of the car, and premeasured the noise inside the car with high precision. [PERSON] [4] established a vehicle hybrid model through experiments and simulations. [PERSON] [5] used FE-SEA to predict the insertion loss of the muffler. [PERSON] et al. [6] predicted and diagnosed the acoustic transmission loss of the front bulkhead by using the hybrid FE-SEA method. Literature [7] studied the contribution of heavy commercial vehicle cab noise based on the method of the hybrid model. A hybrid finite element model of heavy commercial vehicle cabs was established. The hybrid models of commercial vehicles include structural and acoustic models as shown in Figure 1. The deterministic method is the core of the hybrid model. The deterministic method in the hybrid FE-SEA adopts the traditional finite element method. The hybrid FE-SEA method also has some disadvantages of the traditional finite element method. Based on the basic idea of the hybrid FE-SEA model, scholars have proposed the hybrid WB-SEA method, the hybrid spatial waveform unwrapping -SEA method, and the hybrid FE-EFE method. This is to improve the computational efficiency of specific problems. [PERSON] and [PERSON] [8] extended the research method of the hybrid FE-SEA model. In this extended method, two kinds of parametric stochastic models, the probabilistic stochastic model, and the interval distributed nonprobabilistic stochastic model, are introduced to the stochastic subsystem, and the hybrid solution mode of parametric stochastic subsystem and nonparametric stochastic subsystem is established, and the hybrid FE-SEA method is extended.