Currently, the interest in monitoring the vibration of dynamical systems has been increasing. For example, large and complex air and space structures include vibration monitoring systems to forecast sudden failures. Such vibration monitoring is used to diagnose structural health by analyzing vibration characteristics (such as frequency and amplitude). Among the vibration characteristics used, t...

The recent development of wavelet analysis techniques has made it possible to represent the temporal variations of frequency content in an earthquake accelerogram elegantly. These techniques are more versatile than the other time-frequency localizing techniques due to their flexible time-frequency windowing feature. This development has led to the timeand frequency-based characterizations of gr...

Vibration signals of non-linear systems can be locally represented by a frequency and a spread about that frequency on the base of the Wigner-Vie Distribution as distribution of energy in time and frequency. They can also be represented via the instantaneous frequency as the first derivative of the instantaneous phase of the analytic signal. Frequency estimations of non-linear systems are time ...