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http://dx.doi.org/10.5000/EESK.2003.7.4.081

Optimal Placement of Sensors for Damage Detection in a Structure and its Application  

박수용 (영산대학교 건축학부)
Publication Information
Journal of the Earthquake Engineering Society of Korea / v.7, no.4, 2003 , pp. 81-87 More about this Journal
Abstract
In this paper, the feasibility of using Shannon's sampling theorem to reconstruct exact mode shapes of a structural system from a limited number of sensor points and localizing damage in that structure with reconstructed mode shapes is investigated. Shannon's sampling theorem for the time domain is reviewed. The theorem is then extended to the spatial domain. To verify the usefulness of extended theorem, mode shapes of a simple beam are reconstructed from a limited amount of data and the reconstructed mode shapes are compared to the exact mode shapes. On the basis of the results, a simple rule is proposed for the optimal placement of accelerometers in modal parameter extraction experiments. Practicality of the proposed rule and the extended Shannon's theorem is demonstrated by detecting damage in laboratory beam structure with two-span via applying to mode shapes of pre and post damage states.
Keywords
Shannon′s sampling theorem; reconstruction of mode shape; placement of accelerometer; damage localization;
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