Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="549430.fig.002a" src="https://static.hindawi.com/articles/amp/volume-2014/549430/figures/549430.fig.002a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Stuck and slip zones when initially loading the bar</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="549430.fig.002b" src="https://static.hindawi.com/articles/amp/volume-2014/549430/figures/549430.fig.002b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Illustrative plot of force and displacement when <svg height="11.175" id="M22" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.7 11.175" width="10.7" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M599 650l-18 -160l-30 -2q-2 70 -11 94q-5 16 -26 24t-75 8h-94q-27 0 -33.5 -6.5t-12.5 -32.5l-43 -226h108q52 0 72.5 5t31 18t28.5 52h28l-40 -200h-28q-1 42 -6 56.5t-24.5 21t-70.5 6.5h-108l-32 -177q-13 -65 1 -80.5t88 -22.5l-8 -28h-279l6 28q61 5 77.5 20.5
t29.5 81.5l72 387l7.5 40.5t1 26.5t-4 18t-15.5 10t-24 6t-37 4l8 28h461z" id="x1D439"></path></g>
</svg> is decreasing</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="549430.fig.002c" src="https://static.hindawi.com/articles/amp/volume-2014/549430/figures/549430.fig.002c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Illustrative plot of force and displacement when <svg height="11.175" id="M23" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.7 11.175" width="10.7" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M599 650l-18 -160l-30 -2q-2 70 -11 94q-5 16 -26 24t-75 8h-94q-27 0 -33.5 -6.5t-12.5 -32.5l-43 -226h108q52 0 72.5 5t31 18t28.5 52h28l-40 -200h-28q-1 42 -6 56.5t-24.5 21t-70.5 6.5h-108l-32 -177q-13 -65 1 -80.5t88 -22.5l-8 -28h-279l6 28q61 5 77.5 20.5
t29.5 81.5l72 387l7.5 40.5t1 26.5t-4 18t-15.5 10t-24 6t-37 4l8 28h461z" id="x1D439"></path></g>
</svg> is increasing</td></tr></table></td></tr></table>

<table>Microslip model for damper.</table>

Advances in Mathematical Physics

fig2

Figure 2

Figure 2: Fractal Theory and Contact Dynamics Modeling Vibration Characteristics of Damping Blade 