Figure 7 Schematic view of the equivalent representation of the <strong>SFD</strong> with mechanicalseal ............................................................................................................................ 17Figure 8 Elements of a four-input/two output representation of the non-linear mechanicalseal-<strong>SFD</strong> system [16]................................................................................................ 18Figure 9 Dry friction force identified from circular centered orbits. Dotted line representsdry friction estimated from energy method and tests under dry conditions. ............ 21Figure 10 Real part of dynamic stiffnesses versus frequency. Circular centered orbits ofamplitude x,y: 50 μm (K sx = 853 kN/m, K sy = 885 kN/m.) ......................................... 22Figure 11 Imaginary part of linear impedance function versus excitation frequency.(C <strong>SFD</strong>xx ) Circular centered orbits of amplitude x,y: 50 μm ( no thru-flow) ............. 23Figure 12 Squeeze film damping coefficient (C <strong>SFD</strong>yy ) versus orbit amplitude. (CircularCentered Orbits, No thru-flow, flow restrictor: 2.8 mm [3]) .................................... 24Figure 13 Squeeze film damping coefficients (C <strong>SFD</strong>xx, C <strong>SFD</strong>yy ) and system dampingcoefficients (C s-xx, C s-yy ) versus excitation frequency for increasing orbit amplitudes.(Circular Centered Orbits, No thru-flow) ................................................................. 25Figure 14 Excitation load and response orbits (motion) from experimental data. (110 Hz,Load: [N], displacement [μm], 32 μm)..................................................................... 28Figure 15 Excitation load and response orbits (motion) from experimental data. (90 Hz,Load: [N], displacement [μm], 50 μm)..................................................................... 28Figure 16 Excitation load and response orbits (motion) from experimental data. (50 Hz,Load: [N], displacement [μm], 74 μm)..................................................................... 29Figure 17 Cut view of <strong>SFD</strong> housing detailing the location of pressure sensors............... 30Figure 18 Pk-pk dynamic pressures in squeeze film land versus frequency and variousorbit amplitudes. ....................................................................................................... 31Figure 19 Pk-pk dynamic pressures in discharge groove versus frequency and variousorbit amplitudes. ....................................................................................................... 32Figure 20 Dynamic pressure measurements at <strong>SFD</strong> land and discharge groove (includingfilm thickness at sensor location). (100 Hz, 32 μm orbit amplitude, supply pressure=31 kPa, no thru-flow) ................................................................................................ 33Figure 21 Dynamic pressure measurements at <strong>SFD</strong> land and discharge groove (includingfilm thickness at sensor location). (90 Hz, 50 μm orbit amplitude, supply pressure=31 kPa, no thru-flow) ................................................................................................ 334
Figure 22 Dynamic pressure measurements at <strong>SFD</strong> land and discharge groove (includingfilm thickness at sensor location). (60 Hz, 62 μm orbit amplitude, supply pressure=31 kPa, no thru-flow) ................................................................................................ 34Figure 23 Dynamic pressure measurements at <strong>SFD</strong> land and discharge groove(including film thickness at sensor location). (50 Hz, 74 μm orbit amplitude, supplypressure= 31 kPa, no thru-flow)................................................................................ 34Figure 24 Cut view of <strong>SFD</strong> detailing alternative paths for air ingestion.......................... 355