Experimental identification an elastically supported cylinder under free vibration using the Hilbert and wavelet transform.

The application of wavelet transforms (WT) and Hilbert transform (HT) for identification of an elastically support cylinders due to free vibration will be explained in this paper. The influence of the elastic limit will cause the spring to be distributed linearly. The interesting thing about this paper is that by attaching the wire to the elastically support cylinder, it will cause the spring to be distributed linearly or nonlinearly. To identify the system, wavelet transform and Hilbert transform applications are used. The envelope of the time response and instantaneous frequency are extracted using the Wavelet and Hilbert transform to identify the nonlinear characteristics of the system. Responses in the range of the lock-in and nonlinear jump phenomena are investigated clearly. Finally, the linear and nonlinear spring properties of the system are identified using the wavelet and Hilbert transform. [ABSTRACT FROM AUTHOR]