A quantitative detection method for material nonlinearity based on the Duffing-Holmes system

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (24) : 61-65.

BO Lin,TANG Tao,LIU Xiaofeng,WEI Daiping

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Abstract

Aiming at the sensitivity of nonlinear Lamb wave to the detection of material properties, a nonlinear detection method based on the Duffing-Holmes system was proposed.First, the critical parameters of the Duffing-Holmes system were determined and the Duffing-Holmes system was adjusted to a critical state, then after being extended and filtered, the signal to be tested was adjusted and scaled as a disturbance input of the system.At last, a linear model between signal scaling coefficient and Lyapunov exponent was established.Lyapunov exponent of the reference signal and the linear model were used to achieve optimal estimation of the real amplitude in the presence of noise interference.Experimental results show that the method can effectively improve the noise immunity and nonlinear Lamb detection range of material nonlinear index.

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Lyapunov exponent / nonlinear Lamb wave / material nonlinearity / Duffing-Holmes system

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BO Lin,TANG Tao,LIU Xiaofeng,WEI Daiping. A quantitative detection method for material nonlinearity based on the Duffing-Holmes system[J]. Journal of Vibration and Shock, 2018, 37(24): 61-65

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