Wavelet Transforms for System Identification in Civil Engineering

Computer-Aided Civil and Infrastructure Engineering - Tập 18 Số 5 - Trang 339-355 - 2003
T. Kijewski1, Ahsan Kareem1
11 University of Notre Dame, USA, 2University of Notre Dame, USA [email protected]

Tóm tắt

Abstract:  The time‐frequency character of wavelet transforms allows adaptation of both traditional time and frequency domain system identification approaches to examine nonlinear and non‐stationary data. Although challenges did not surface in prior applications concerned with mechanical systems, which are characterized by higher frequency and broader‐band signals, the transition to the time‐frequency domain for the analysis of civil engineering structures highlighted the need to understand more fully various processing concerns, particularly for the popular Morlet wavelet. In particular, as these systems may possess longer period motions and thus require finer frequency resolutions, the particular impacts of end effects become increasingly apparent. This study discusses these considerations in the context of the wavelet's multi‐resolution character and includes guidelines for selection of wavelet central frequencies, highlights their role in complete modal separation, and quantifies their contributions to end‐effect errors, which may be minimized through a simple padding scheme.

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Tài liệu tham khảo

Carmona R. A., 1998, Wavelet Analysis and Applications: Practical Time‐Frequency Analysis

10.1016/B978-0-12-174590-5.50029-0

10.1142/S0218127497000066

Cole H. A., 1973, NASA CR‐2205

Corbin M., 2000, Proceedings of 14th ASCE Engineering Mechanics Conference

Gabor D., 1946, Proceedings of IEEE, 429

10.1006/jsvi.1999.2752

Grossman A., 1990, Mathematics and Physics, Lecture on Recent Results, 135

Gurley K., 1996, Damping in structures: its evaluation and treatment of uncertainty, Journal of Wind Engineering and Industrial Aerodynamics, 59, 131

Gurley K., 1999, Applications of wavelet transforms in earthquake, wind and ocean engineering, Engineering Structures, 21, 149

10.1061/(ASCE)0733-9399(2003)129:2(188)

10.1006/jsvi.1999.2927

Hartin J. R., 2001, Proceedings of International Modal Analysis Conference, 5

Huang S. Y., 1994, Wavelet for system identification, Proceedings of International Modal Analysis Conference, 1162

10.1098/rspa.1998.0193

Kijewski T., 2002, Proceedings of Royal Society A

10.1006/jsvi.2001.4227

Kijewski T., 2002, Proceedings of ASCE Engineering Mechanics Conference, 2

10.1016/S0167-4730(02)00028-0

10.1006/jsvi.1999.2928

Mallat S., 1998, A Wavelet Tour of Signal Processing

Robertson A. N., 1998, Extraction of impulse response data via wavelet transform for structural system identification, Transactions of the AS ME, 120, 252

Robertson A. N., 1998, Identification of structural dynamics models using wavelet‐generated impulse response data, Transactions of the ASME, 120, 261

10.1006/mssp.1996.0078

10.1006/jsvi.1996.0864

10.1006/jsvi.1998.1616

Staszewski W. J., 1997, Proceedings of International Modal Analysis Conference, 425

10.1016/0167-6105(93)90086-4

10.1016/0167-6105(96)00003-7

10.1115/1.3256341

Ville J., 1948, Theorie et application de la notion de signal analytical, Cables et Transmissions, 2, 61

Yang J. N., 2000, ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, 24