A regularization scheme for displacement reconstruction using acceleration data measured from structures

Yun Hwa Hong; Hyun Woo Park; Hae Sung Lee

doi:10.1117/12.774478

8 April 2008 A regularization scheme for displacement reconstruction using acceleration data measured from structures

Yun Hwa Hong, Hyun Woo Park, Hae Sung Lee

Proceedings Volume 6932, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2008; 693228 (2008) https://doi.org/10.1117/12.774478
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2008, San Diego, California, United States

Abstract

This paper present a new displacement reconstruction scheme using only acceleration measured from a structure. For a given set of acceleration data, the reconstruction problem is formulated as a boundary value problem in which the acceleration is approximated by the second-order central finite difference of displacement. The displacement is reconstructed by minimizing the least squared errors between measured and approximated acceleration within a finite time interval referred to as a time window. An overlapping time window is introduced to improve the accuracy of the reconstructed displacement. The displacement reconstruction problem becomes ill-posed because the boundary conditions at both ends of each time window are not known a priori. Furthermore, random noise in measured acceleration causes physically inadmissible errors in the reconstructed displacement similar to the conventional time integration schemes. A Tikhonov regularization scheme is adopted to alleviate the ill-posedness. The validity of the proposed method is demonstrated through two laboratory experiments.

Citation Download Citation

Yun Hwa Hong, Hyun Woo Park, and Hae Sung Lee "A regularization scheme for displacement reconstruction using acceleration data measured from structures", Proc. SPIE 6932, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2008, 693228 (8 April 2008); https://doi.org/10.1117/12.774478

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