Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations

Table 1

Power spectra of signals obtained for linear and nonlinear cases, constructed for different beam models.

Beam model	Linear case	Linear case after applying the PCA; PC number = 1; 2	The case with geometric nonlinearity	The case with geometric nonlinearity after applying the PCA; PC number = 1; 2	The case with geometric nonlinearity after applying the PCA; PC number =
Euler-Bernoulli
Timoshenko
Sheremetev-Pelekh