A Model of Gear Transmission: Fractional Order System Dynamics

Figure 4

First eigen fractional mode ${\xi }_1(t)$ with corresponding first fractional order time components ${\eta }_1(t)$ and ${\zeta }_1(t)$ for different system kinetic and geometric parameter values. Eigen fractional order mode is like one frequency vibration mode similar to first single frequency eigen mode of the corresponding linear system.

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