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Damage Detection of the Variable-cross-section Beam by Wavelet Analysis

小波於漸細型樑損傷探測上之應用

摘要


小波分析具有良好的解析能力,而結構的損傷會造成結構位移訊號上的微小擾動,靠著小波分析可以擷取出這個微小的擾動,所以本研究利用小波來作漸細型樑的損傷偵測上之應用,樑結構的損傷乃是以降低的楊氏係數值來表示,結果顯示小波分析能顯示出漸細型樑的損傷位置,對損傷的程度都有很高的靈敏度,即使損傷程度很小的損傷也能發現損傷的位置。

關鍵字

小波 破損探測

並列摘要


This paper presents a technique for structure damage detection based on the wavelet analysis. The main purpose of this paper is to predict the positions of damage based on spatial wavelet analysis. Many damage detection methods require modal properties before and after damage. This method only needs the spatially distributed signals (e.g. the displacements) of the beam after damage. First, spatially distributed signals of the variable-cross-section beam with damage are obtained by finite element method. In this paper, the damaged region is represented as the elements with reduced stiffness. Then the displacements of damaged beam are analyzed by wavelet transformation. It is observed that distributions of the wavelet coefficients can identify the damage position of the variable-cross-section beam by showing a peak at the position of the damage.

參考文獻


Qian, G. L., Gu, S. N. and Jiang, J. S. A Finite Element Model of Cracked Plates and Application to Vibration Problems. Computers and Structures 1991; 39(5): 483-487.
R. Ashino and S. Yamamoto. Wavelet analysis: Its origination, development, and applications; Tokyo, Kyoritsu Shuppan Co., 1997.
Y. J. Yan and L. H. Yam. Online detection of crack damage in composite plates using embedded piezoelectric actuators/sensors and wavelet analysis. Composite Structures 2002: 58: 29-38.
K. M. Liew and Q. Wang. Application of Wavelet Theory for Crack identification in Structures. Journal of Engineering Mechanics 1998; 124: 152-157.
N. Stubbs, J.-T. Kim and K. Topole. An efficient and robust algorithm for damage localization in offshore platforms. Proceedings of the ASCE Tenth Structures Congress 1992: 543-546.

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