Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings

<table>Bifurcation diagrams of gear-bearing system using dimensionless rotational speed ratio, <svg height="7.1875" id="M133" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑠</tspan>
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</svg>, as bifurcation parameter for non-Newtonian lubricating fluid with <svg height="11.8375" id="M134" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 50.674999 11.8375" width="50.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.8375)">
<g transform="translate(72,-62.53)">
<text transform="matrix(1,0,0,-1,-71.95,62.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑙</tspan>
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<text transform="matrix(1,0,0,-1,-67.72,67.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">∗</tspan>
</text>
<text transform="matrix(1,0,0,-1,-59.18,62.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">3</tspan>
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</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig6

Figure 6

Figure 6: Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings 