Cross Correlation in Structural Systems: Dispersion and Nondispersion Waves

Abstract

The use of cross correlation as a tool for analyzing propagation of energy in structural systems is investigated. Each energy-transmission path will have a characteristic delay time, and examination of the cross-correlation function of input and response can guide in the determination of the most significant path or paths. Difficulties occur in distributed systems or when the propagation is by a dispersive mechanism. The principles of correlation analysis are examined for both dispersive and nondispersive systems. Experimental evidence is presented that supports the theory and concepts developed. On the basis of these preliminary results, it appears that the technique holds promise and bears further investigation.