## 5 Conclusions
The following abbreviations are used in this manuscript:  
AI artificial intelligence  
ANM asymptotic numerical method  
ANN artificial neural network  
APEWT adaptive parameter-free empirical wavelet transform  
BIO Bayesian hyperparameter optimization  
BP backpropagation  
CIM Chebyshev interval method  
CNN convolutional neural network  
CPU central processing unit  
CWT continuous wavelet transform Db6 Debes wavelet transform  
DCGAN generative adversarial neural network  
DE differential evolution  
DFT discrete Fourier transform  
DIRS dynamic improved reduced system  
DOF degree of freedom  
DT decision tree  
DWT discrete wavelet transform  
EEMD ensemble empirical mode decomposition  
EKF extended Kalman filter  
ELMM equivalent load minimization method  
EMA experimental modal analysis  
EMD empirical mode decomposition  
ESM empirical selection method  
EWT empirical wavelet transform  
FCC full connected cascade  
FDM finite difference method  
FEA finite element analysis  
FEM finite element modeling  
FEMU finite element model updating  
FFEM fuzzy finite element method  
FFT fast Fourier transform  
FNN feedforward neural network  
FRF frequency response function  
FST Fourier synchrosqueezed transform  
FTG full tensor grid  
GA genetic algorithm  
GAN generative adversarial networks  
GPU graphics processing unit  
GR Guyan reduction  
GRU gated recurrent unit  
GT Gabor transform  
HB harmonic balance  
HBM harmonic balance method  
HHT Hilbert-Huang transform  
HT Hilbert transform  
IES inverse eigensensitivity  
IHBM incremental harmonic balance method  
IIR infinite impulse response  
IISM interval modal superposition method  
IPM interval perturbation module  
ISOMAP isometric mapping  
ITEO improved Teager energy operator  
JISEA joint input-state estimation algorithm  
KF Kalman filter  
KL Karhunen-Loeve discretisation  
KNN k-nearest neighbors  
LCD local characteristic-scale decomposition  
LEM linearized equation method  
LLM large language model  
LSTM long short-term memory  
MAC modal assurance criterion  
MAE mean absolute error  
MAF moving average filter MB & modal balancing  
MCS & Monte Carlo simulation  
MCMC & Markov-chain Monte Carlo  
MDS & multidimensional scaling  
MEA & modal expansion algorithm  
MHA & multi-head attention  
ML & machine learning  
MLP & multilayer perceptron  
MoE & mixture-of-experts approach  
NARX & nonlinear autoregressive with exogenous input  
NAS & neural acceleration subsystem  
NCA & neighborhood component analysis  
NDE & nonlinear differential equation  
NFD & natural frequency difference  
NHT & normalized Hilbert transform  
NN & neural network  
NORF & nonlinear output frequency response function  
NREM & nonlinear equation reduction method  
ODS & operating deflection shape  
ODSR & operating deflection shape ratio  
OMA & operational modal analysis  
ORM & over-relaxation method  
PCA & principal component analysis  
PCE & polynomial chaos expansion  
POD & proper orthogonal decomposition  
PSO & particle swarm optimization  
QDNHT & quadrature-derivative-based normalized Hilbert transform  
RBFNN & radial basis function neural network  
RF & random forest  
RMSC & regional mode shape curvature  
RNN & recurrent neural network  
ROM & reduced-order model  
SEREP & system equivalent reduction expansion process  
SERR & strain energy release rate  
SFEM & stochastic finite element method  
SFT & synchronized Fourier transform  
SIS & sub-interval similarity  
SNN & spiking neural network  
STFDD & short-time frequency domain decomposition  
STFT & short-term Fourier transform  
SVD & singular value decomposition  
SVM & support vector machine  
TEO & Teager energy operator  
TFA & time-frequency analysis  
TF-DLGAN & deep long short-term memory convolutional generative adversarial network  
TFMRA & topological fractal multi-resolution analysis  
TM & transfer matrix  
TPR & temporal pattern recognition  
TRAC & time response agreement criterion  
UKF & unscented Kalman filter  
UQ & uncertainty-quantification  
WPT & wavelet packet transformation  
WT & wavelet transform  
WVD & Wigner-Ville distribution