Tracking time-varying properties of hysteretic structure by wavelet multi-resolution analysis

C. C. Chang; Y. F. Shi

doi:10.1117/12.776516

8 April 2008 Tracking time-varying properties of hysteretic structure by wavelet multi-resolution analysis

C. C. Chang, Y. F. Shi

Proceedings Volume 6932, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2008; 693229 (2008) https://doi.org/10.1117/12.776516
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2008, San Diego, California, United States

Abstract

The ability of an early detection of possible damage in a structure especially when subjected to severe external loadings is a very important research topic. Damage in a structure usually comes with nonlinear and time-varying characteristics, such as hysteresis, that lead to time-varying structural parameters. Identification of time-varying structural parameters is necessary for assessing the safety of these damaged structures. A time-varying system identification technique using wavelet multi-resolution analysis is proposed in this paper. Wavelet is well known for its ability to approximate and represent arbitrary temporal functions. By expressing the time-varying parameters in a hysteretic structure using wavelet multi-resolution models, the problem of identification of these time-varying parameters is transformed to a time-invariant problem that depends on solving constant wavelet coefficients. An orthogonal forward regression algorithm is then adopted to prune insignificant wavelet coefficients while estimating those significant ones. Examples of single- and multi-degree-of-freedom hysteretic structures with different time-varying properties are given to demonstrate the applicability and accuracy of the proposed approach.

Citation Download Citation

C. C. Chang and Y. F. Shi "Tracking time-varying properties of hysteretic structure by wavelet multi-resolution analysis", Proc. SPIE 6932, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2008, 693229 (8 April 2008); https://doi.org/10.1117/12.776516

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