Robustness of an arma identification method for modal analysis of mechanical systems in the presence of noise

Arma Models for Modal Analysis: Effect of Model Orders and Sampling Frequency

“…In the following section, the principles of the corrected covariance matrix method (CCM) [15,17] are outlined.…”

“…If we insert equation (15) into equation (5), we obtain y(k)!w(k)"!a (y(k!1)!w(k!1))!a (y(k!2)!w(k!2))2!a L (y(k!2n)…”

“…The methods, that we have developed [15,16], have only been subjected to tests on numerically simulated cases. These simulations only considered cases with one or two degrees of freedom with di!erent damping rates and noise levels.…”

Novel support vector regression for structural system identification

“…Structural identification results are known to be sensitive to the sampling frequency, and an optimal sampling frequency must be selected in order to have confidence in identification results. Here, the sampling frequencies were intuitively determined by considering some qualitative criteria: at least three times the highest modal frequency, less than 30 times the lowest modal frequency, about 10 times the central group modal frequency [23]. The sampling interval of structural responses used in this example is 0.01 s. Figure 2 shows the identified results versus different sampling intervals in noise free case.…”

Study on Model Order Determination of Thin Plate Systems With Parameter Uncertainties

“…), and equal to those solved from the AR polynomial which is constructed according to equations (6) and (7). The identi"cation of MA parameters is essential for rebuilding the mass, sti!ness and damping matrices of the system [11].…”