Numerical and Experimental Investigation on Parameter Identification of Time-Varying Dynamical System Using Hilbert Transform and Empirical Mode Decomposition

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="568637.fig.0013a" src="https://static.hindawi.com/articles/mpe/volume-2014/568637/figures/568637.fig.0013a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Instantaneous frequency</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="568637.fig.0013b" src="https://static.hindawi.com/articles/mpe/volume-2014/568637/figures/568637.fig.0013b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Instantaneous damping ratio of the first mode</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="568637.fig.0013c" src="https://static.hindawi.com/articles/mpe/volume-2014/568637/figures/568637.fig.0013c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Instantaneous damping ratio of the second mode</td></tr></table></td></tr></table>

<table>Comparison of identified time-varying parameter with theoretical value (MDOF Example 1).</table>

Mathematical Problems in Engineering

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Figure 13

Figure 13: Numerical and Experimental Investigation on Parameter Identification of Time-Varying Dynamical System Using Hilbert Transform and Empirical Mode Decomposition 

Figure 13 | Numerical and Experimental Investigation on Parameter Identification of Time-Varying Dynamical System Using Hilbert Transform and Empirical Mode Decomposition 