## 1 Introduction  
The finite element model (FEM) is an effective modern tool for structure monitoring, damage detection, prediction of service life, and determination of an optimal maintenance strategy [1]. [PERSON] et al. [2] used FEM to simulate the vibration behavior of nanoplate submerged in different viscous fluids with various aspect ratios and analyzed the effects of fluid viscosity and density on the free vibration natural frequencies of the nanoplate. [PERSON] et al. [3] used FEM to study the effect of viscosity and fluid flow on the buckling behavior of nanoplate with surface energy. [PERSON] et al. [4] used FEM to demonstrate the validity of static and modal analysis of low porosity thin metallic structures with speckle interferometry and digital image correlation. However, in the safe detection of complex civil engineering structures such as offshore platforms and offshore wind turbines, there is often a deviation between the finite element simulation results and the measured values. [PERSON] et al. [5] pointed out that the modeling uncertainties can be generally divided into the uncertainties of the model parameters and the model structure. The former is usually due to incorrect assumptions of model parameters such as material properties, section properties and structure dimensions [6]. The latter is usually due to simplification of the structure, inaccurate mass distribution, incorrect boundary conditions, etc. [7,8]. [PERSON] et al. [1] summarized some researchers and gave the definition of model updating, that is, updating the numerical model based on the experimentally obtained test results to obtain the actual structural behavior numerically. Therefore, the measured data can modify the design parameters or matrix elements in the finite element model to obtain the minimum deviation between them, accurately reflect the characteristics of the prototype structure, so that the measured results can be correctly reproduced, and the possible structural damage sites and damage degrees can be identified. On this basis, the safety and reliability evaluation of civil engineering structures can be realized. It is one of the most critical problems in health monitoring, damage diagnosis and safety evaluation of engineering structures. [PERSON] [9] pointed out that establishing accurate finite element numerical models, determining appropriate updating parameters, constructing objective functions and adopting robust optimization algorithms are the key factors for model updating. At present, the research on the finite element model updating method is mainly focused on these key factors. According to the classification of the updated object, compared with the matrix method, the design parameter method is more suitable for engineering applications because of its advantages such as clear physical meanings [10]. However, for structures that can accurately measure the geometric dimensions and have clear physical parameters, the ambiguous structural boundary conditions and constraints need to be updated [11,12]. The commonly used characteristic quantities for constructing the objective functions are modal frequency [13], mode shape [14], stress [15], strain mode [16], etc. Most finite element updating methods generally use modal frequencies and mode shapes as characteristic quantities [17]. There are two measurement methods to obtain structural modal parameters: the non-contact method and the contact method. The non-contact method is favored by researchers because it does not contact the structure and does not affect the accuracy of the dynamic behaviors of the structure. [PERSON] et al. [18] used the laser Doppler vibrometry scanning system (LDV) to successfully perform the automated vibration measurement over the selected surface of the lightweight structure, and obtain the relevant information concerning its natural frequencies and modal shapes of the structure up to 4 kHz.