A complete procedure for modal identification from free responses based on the continuous wavelet transform is presented.
The free responses of the rigid and elastic beams show rotating elliptical paths when viewed from above.
The interpretation holds for linear systems with multi-modal free responses, whether damping is small or somewhat large, modal or nonmodal, and without the need of input data.
In this paper the problem of the asymptotic tracking and stabilization with infinite gain margin, with the additional requirement of a prescribed rate of convergence of the free responses, is addressed for linear time-invariant discrete-time multivariable systems.
The wavelet analysis of the free responses of a linear mechanical system allows the estimation of its natural frequencies, viscous damping ratios and mode shapes, using either the modulus or the phase of the wavelet transform.
In order to induce free responses from the participants, the questionnaire content in Table 2 was given appropriately in the simplest form, and sample responses were given when participants misunderstood the intention of the question and asked for clarification, as follows.
