Wavelet transform-based modal parameter identification considering uncertainty

Modeling and Parameter Identification of the Vibration Characteristics of Armature Assembly in a Torque Motor of Hydraulic Servo Valves under Electromagnetic Excitations

“…The free delay response of a linear damped multidegreeof-freedom (MDOF) system with " " real modes [26] can be written as…”

Analysis of wave slam induced hull vibrations using continuous wavelet transforms

“…(12), the undilated Morlet function at time t and frequency f windows a portion of the signal on the time axis within [t À(s t /2), tþ(s t /2)] and [f À (s f /2), f þ(s f /2)]on the frequency axis. Because the Morlet function is modulated by a Gaussian window, it has the optimal resolution for which the inequality (18) becomes an equality (Gabor, 1946;Mallat, 1999;Kijewski andKareem, 2003 andYan et al, 2006b) i.e.,…”

“…Using asymptotic techniques, (see Delprat et al, 1992;Carmona et al, 1997;Staszewski, 1997;Ruzzene et al, 1997;Brenner and Lind, 1998;Piombo et al, 2000;Boltezar, 2004;Lardies et al, 2004;Yan et al, 2006a;Meo et al, 2006;Erlicher andArgoul, 2007 andTan et al, 2008), the wavelet transform can be expressed approximately as:…”

Modal identification based on Hilbert-Huang Transform of structural response with SVD preprocessing

“…Modal analysis from output-only can be done by utilizing the correlation functions and power spectra of the operating responses [4]. Some time-frequency analysis tools such as Wavelet Transform (WT) and Hilbert-Huang Transform (HHT) with the capability of capturing timevarying features of structure, are developed for system M. Zheng (B) · F. Shen · Y. Dou · X. Yan College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China e-mail: zhengminsf@163.com identification [5,6] and damage detection [7]. Hilbert-Huang Transform method based on Empirical Mode Decomposition (EMD) and Hilbert Spectral Analysis (HSA) [8] can decompose any complicated response via EMD into a finite, often small, number of intrinsic mode functions (IMFs) that admit a well-behaved Hilbert transform.…”