## 3 Linear Mathematical Model of the Bearing Stationary State
### Discussion of the Results of Static Characteristics Calculating
#### 3.5.2 Features of Diaphrag Feeder Bearing  
Figure 4 shows similar curves for the compliance function \(K(\chi)\) versus the \(\chi\) adjustment coefficient of the SECT with feeders in the form of diaphragms, where the main feeders are simple diaphragms, and the damping feeders are annular diaphragms. In the absence of displacement compensation (\(K_{e}=0\)) with the rigid suspension (6), the dependence is similar to the analogous characteristic for the slotted SECT. It is also a unimodal function, the minimum of which falls on \(\chi=0.5\). However, for \(K_{e}\geq K_{e0}\), the character of the curves changes, and they become monotonically increased. Therefore, for \(K_{e}=K_{e0}\) at the design point \(\chi=0.5\), the bearing has zero compliance (\(K=0\)), which is the boundary between the modes of negative (\(K<0\)) and positive (\(K>0\)) compliance. At \(K_{e}>K_{e0}\), the character of the curves remains the same, and the range of negative compliance becomes wider. An explanation for this phenomenon can be found by analyzing the curves of the graph in Figure 5, which shows the dependences of the coefficients \(U_{k}(\chi)\) and \(U_{p}(\chi)\), included in Formulas (20) and (21), on the coefficient \(\chi\). Solid lines correspond to \(U_{k}\) and dotted to \(U_{p}\). Formulas (26) and (27) show that \(U_{k}\) and \(U_{p}\) are, in fact, the amplification factors of the pressure reactions on the inner and outer surfaces of the sleeve (3), respectively. The lines 1  
Figure 4: Dependences of the compliance \(K\) of the slotted feeder bearing on the coefficient \(\chi\) of the SECT for various values of the elasticity coefficient \(K_{e}\). Figure 5: Dependencies of the functions \(U_{k}(\chi)\) and \(U_{p}(\chi)\) for the bearing with the slot (1) and diaphragm (2) feeders of the SECT. in Figure 5 show that the activity of the bearing capacity \(W\) of the slotted SECT determined by the coefficient \(U_{k}\) is higher than the reaction \(W_{p}\); therefore, the unimodal nature of the dependence of compliance \(K(\chi)\) is mainly determined by the nature of the inverse reaction function \(W\), which, as can be seen from the graphs at \(K=0\), is also unimodal. As can be seen from the graph in Figure 5 for the curves (2), the activity of the throttle SECT reactions for the moderate and large \(\chi\) is approximately the same, and at the small \(\chi\), the activity of the \(W_{p}\) reaction is much higher. Therefore, in contrast to the slotted SECT, for which \(U_{k}>U_{p}\), for the throttling SECT, \(U_{k}\leq U_{p}\); hence, for the latter, the reaction activity \(W_{p}\) is higher, which explains the monotonic character of the \(K(\chi)\) dependences. Similar to Figure 3, the dependences for the weight parameter \(\varsigma\) of the resistances of the throttle SECT are shown in Figure 6.  
At \(K_{e}=0\), which corresponds to the rigid suspension (6), in contrast to the slotted SECT, where \(\varsigma\) does not affect the bearing compliance, for the throttle SECT, the function \(K(\varsigma)\) is monotonically increased. This is explained by the fact that, at \(\varsigma=0\), single throttling occurs with simple diaphragms, and at \(\varsigma=1\), single throttling is carried out by annular diaphragms. Since the flexibility of supports with simple diaphragms is higher, then \(K(0)<K(\varsigma)<K(1)\), which explains the monotonic nature of the function \(K(\varsigma)\) at \(K_{e}=0\) (\(i=0\)). It is noteworthy that the common point of the curves of the bearing with the throttle SECT, as compared to the slotted system, is shifted to the right by a much greater distance: in this case, \(\varsigma_{\varsigma}\approx 0.554\). In a bearing with a throttle SECT for \(K_{e}>0\), the dependences \(K(\varsigma)\) have similar characters.