Damage Detection Using the Lipschitz Exponent Estimation by the Continuous Wavelet Transform ： Applied to Vibration Mode Shapes in a Beam

연속웨이블렛 변환에 의한 립쉬츠 지수 평가를 이용한 결함 진단 ： 보의 진동모드를 대상으로

The objective of this paper is to show the effectiveness of the wavelet transform by means of its capability to estimate the Lipschitz exponent. In particular, we show that the magnitude of the Lipschitz exponent can be used as a useful tool estimating the damage extent. An effective method based on the Lipschitz exponent is proposed and we present the results investigated both numerically and experimentally. The continuous wavelet transform by a Mexican hat wavelet having two vanishing moments is utilized for the estimation of the Lipschitz exponent.