## 5 Results and Discussion
As before, with an increase in the parameter characterizing the influence of the magnetic field on a liquid particle \(b_{m}\), the amplitudes of the second and third critical frequencies are damped up to their complete dampening. The numerical values of the amplitudes for this case are presented in Table 6. \begin{table}
\begin{tabular}{l l l l} \hline \hline \multirow{2}{*}{\(B_{r}\) \(\gamma=1.03\)} & **First Critical Speed** & \multicolumn{2}{l}{**Second Critical**} & \multicolumn{1}{l}{**Third Critical Speed**} \\  & **Amplitude Value** & **Appplitude Value** & **Amplitude Value** \\ \hline \(b_{m}=0\) & 0.123836133, \(\tau=0.16\) & 0.154082698, \(\tau=0.57\) & 0.582653298, \(\tau=3.37\) \\ \(b_{m}=0.5\) & 0.123831142, \(\tau=0.16\) & 0.15403417, \(\tau=0.57\) & 0.580389919, \(\tau=3.37\) \\ \(b_{m}=5\) & 0.123786664, \(\tau=0.16\) & 0.151690752, \(\tau=0.57\) & 0.425847453, \(\tau=3.37\) \\ \(b_{m}=25\) & 0.123598669, \(\tau=0.16\) & 0.117230408, \(\tau=0.57\) & 0.114353556, \(\tau=3.37\) \\ \(b_{m}=50\) & 0.123385864, \(\tau=0.16\) & 0.080130589, \(\tau=0.57\) & 0.069492128, \(\tau=3.38\) \\ \(b_{m}=100\) & 0.123033788, \(\tau=0.16\) & 0.054080999, \(\tau=0.56\) & 0.046679793, \(\tau=3.37\) \\ \(b_{m}=500\) & 0.123518243, \(\tau=0.16\) & – & – \\ \hline \multirow{2}{*}{\(D_{r}\) \(\gamma=1.03\)} & **First Critical Speed** & \multicolumn{2}{l}{**Second Critical**} & \multicolumn{1}{l}{**Third Critical Speed**} \\  & **Amplitude Value** & **Appplitude Value** & **Amplitude Value** \\ \hline \(b_{m}=0\) & 0.083803356, \(\tau=0.16\) & 0.101565041, \(\tau=0.57\) & 0.124078552, \(\tau=3.35\) \\ \(b_{m}=0.5\) & 0.083800714, \(\tau=0.16\) & 0.101535013, \(\tau=0.57\) & 0.123990942, \(\tau=3.35\) \\ \(b_{m}=5\) & 0.08377746, \(\tau=0.16\) & 0.099920685, \(\tau=0.57\) & 0.115971317, \(\tau=3.35\) \\ \(b_{m}=25\) & 0.083685484, \(\tau=0.16\) & 0.075582465, \(\tau=0.57\) & 0.050630183, \(\tau=3.35\) \\ \(b_{m}=50\) & 0.08359651, \(\tau=0.16\) & 0.048524802, \(\tau=0.57\) & 0.022746045, \(\tau=3.35\) \\ \(b_{m}=100\) & 0.083504258, \(\tau=0.16\) & 0.028624914, \(\tau=0.58\) & 0.010481636, \(\tau=3.33\) \\ \(b_{m}=500\) & 0.08647026, \(\tau=0.16\) & 0.009075681, \(\tau=0.62\) & – \\ \(b_{m}=5000\) & 0.165670988, \(\tau=0.16\) & – & – \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Critical Speeds. Figure 10: Amplitude–frequency characteristic of natural oscillations of the rotor for \(s=1\) and \(\gamma=1.03\). The electrical conductivity of the liquid is directly proportional to the length of the liquid volume in the rotor cavity and inversely proportional to the cross-sectional area of this volume and its electrical resistance. The intensity of a uniform axial magnetic field is proportional to the current strength, length and number of turns of the solenoid. Thus, due to sufficient damping of the amplitudes of the second and third critical frequencies, as well as due to its simpler implementation from the technical point of view, for further studying of the effect of a high-frequency magnetic field on nonlinear oscillations it was decided to use the value of the parameter \(b_{m}=100\). The shift in critical frequencies depends not only on the amount of liquid being filled but also on the frequency of the disturbing force, in our case, on the angular velocity of the rotor. To assess the shift in critical frequencies, diagrams were constructed where the abscissa axes correspond to the dimensionless angular velocity of rotation of the rotor \(s\) and the ordinate axes to the dimensionless natural frequency \(\tau\).