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Research Article

Mathematical formulation of a modified film thickness equation for multipad externally adjustable fluid film bearing

& | (Reviewing editor)
Article: 1493672 | Received 20 Apr 2018, Accepted 24 Jun 2018, Published online: 17 Jul 2018

Figures & data

Figure 1. Schematic representation of four-pad adjustable bearing (Source: United States Patent and Trademark Office, www.uspto.gov, U.S. Patent No. 5,772,334, Citation1998): (1) bearing casing, (2) adjustable pad, (3) tilting spacer, and (4) radial displacement spacer.

Figure 1. Schematic representation of four-pad adjustable bearing (Source: United States Patent and Trademark Office, www.uspto.gov, U.S. Patent No. 5,772,334, Citation1998): (1) bearing casing, (2) adjustable pad, (3) tilting spacer, and (4) radial displacement spacer.

Figure 2. Adjustable bearing pad configuration.

Figure 2. Adjustable bearing pad configuration.

Figure 3. Representation of the mathematical approach applied to develop modified film thickness: (1) profile of multipad bearing, (2) negative radial adjustment, (3) positive radial adjustment, and (4) positive tilt adjustment.

Figure 3. Representation of the mathematical approach applied to develop modified film thickness: (1) profile of multipad bearing, (2) negative radial adjustment, (3) positive radial adjustment, and (4) positive tilt adjustment.

Figure 4. Mathematical formulation of film thickness using trigonometric relations.

Figure 4. Mathematical formulation of film thickness using trigonometric relations.

Figure 5. Comparison of dimensionless film thickness variation on a 120° single-pad adjustable bearing for ε = 0.4. (a) Variation presented by Shenoy (Citation2008) and (b) present analysis results.

Figure 5. Comparison of dimensionless film thickness variation on a 120° single-pad adjustable bearing for ε = 0.4. (a) Variation presented by Shenoy (Citation2008) and (b) present analysis results.

Table 1. Comparison of dimensionless film thickness variation observed in Shenoy (Citation2008) and present analysis for a 120° single-pad bearing under ε = 0.4

Figure 6. Variation of dimensionless fluid film thickness in a four-pad adjustable bearing with different radial and tilt adjustments under ε = 0.4.

Figure 6. Variation of dimensionless fluid film thickness in a four-pad adjustable bearing with different radial and tilt adjustments under ε = 0.4.

Table 2. Dimensionless film thickness variation observed over a four-pad adjustable bearing for different radial and tilt adjustments at ε = 0.4

Table 3. Dimensionless film thickness variation in four-pad adjustable bearing with negative R adj and negative tilt angle operated for different eccentricity ratios

Figure 7. Variation of dimensionless fluid film thickness in four-pad adjustable bearing under different eccentricity ratios with negative R adj and negative tilt angle.

Figure 7. Variation of dimensionless fluid film thickness in four-pad adjustable bearing under different eccentricity ratios with negative R adj and negative tilt angle.