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Studies on the Load Carrying Capacity of a Multi-Pad Adjustable Bearing Under Misaligned Conditions

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Advances in Fluid Dynamics

Abstract

This paper deals with the effect of journal misalignment on the load capacity of a multi-pad externally adjustable bearing. Pad adjustments can be provided in radial and tilt directions. A modified film thickness equation is applied to determine the variation in film thickness under different pad adjustment conditions. Governing Reynolds equation is discretized using finite difference approximation technique. In the present study, misalignment is considered in only one plane. Variation in load capacity is analyzed for different degrees of misalignment and pad adjustment positions. An improvement in the bearing load capacity is observed by applying a combination of negative radial and negative tilt adjustment to the four bearing pads.

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Abbreviations

C :

Radial clearance (m)

DM:

Degree of misalignment

R :

Journal radius (m)

R adj :

Radial pad adjustment

e :

Eccentricity (m), \(\varepsilon = \left( {e| C} \right)\)

F :

Friction force (N), \(\overline{F} = \left( {F|LCp_{\text{s}} } \right)\)

h :

Lubricant film thickness (m), \(\bar{h} = \left( {h | C} \right)\)

L :

Bearing length (m)

N′:

Journal speed (rps)

\(p\) :

Constant supply pressure (N/m2)

\(p_{\text{s}}\) :

Static film pressure (N/m2), \(\bar{p} = p|p_{\text{s}}\)

t :

Time (s)

\(W\) :

Load capacity (N), \(\overline{W} = \left( {W| LDp_{\text{s}} } \right)\)

\(W_{\text{r}}\) :

Radial load component (N), \(\overline{W}_{\text{r}} = \left( {W_{\text{r}} | LDp_{\text{s}} } \right)\)

\(W_{\text{t}}\) :

Transverse load component (N), \(\overline{W}_{\text{t}} = \left( {W_{\text{t}} |LDp_{\text{s}} } \right)\)

U :

Peripheral journal velocity (m/s), \(U = \omega R\)

x :

Circumferential coordinate axis (m), \(x = R\theta\)

z :

Axial coordinate (m), \(z = \bar{z}L\)

\(\alpha\) :

Pad angle (rad)

\(\alpha'\) :

Angle between central eccentricity vector and projected journal axis (rad)

\(\delta\) :

Tilt angle (rad)

\(\varepsilon ^{{\prime }}\) :

Dimensionless projected distance of the journal, \(\varepsilon = \left( {e^{{\prime }} /C} \right)\)

\(\eta\) :

Fluid viscosity (Ns/m2)

\(\theta ^{\prime } ,\theta\) :

Angular coordinates of the bearing (rad), \(\theta ^{\prime } = \left( {\theta - \left( {\alpha /2} \right)} \right)\)

\(\varLambda \,\) :

Bearing number, \(\varLambda = 6\eta \omega/\left[ {p_{s} \left( {C/R} \right)^{2} } \right]\)

\(\mu\) :

Friction coefficient

\(\overline{\mu }\) :

Friction variable, \(\overline{\mu } = \mu (R/C)\)

\(\phi\) :

Attitude angle (rad)

\(\psi\) :

Assumed attitude angle (rad)

ω :

Angular velocity of journal (rad/s)

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Correspondence to Raghuvir Pai .

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Hariharan, G., Srikanth Rao, D., Pai, R. (2021). Studies on the Load Carrying Capacity of a Multi-Pad Adjustable Bearing Under Misaligned Conditions. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_22

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_22

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  • Online ISBN: 978-981-15-4308-1

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