Squeeze-Film Damper
The purpose of the Squeeze-Film Damper node is to model the additional damping provided to the bearing through a squeezing action in the fluid film. Damping is modeled in terms of effective damping coefficients based on the analytical solution of the Reynolds equation in the film for a short length approximation. These coefficients are functions of damper dimensions, lubricant properties and the location of the journal in the damper as given below:
Here, μ is the viscosity of the lubricant, R is the radius of the journal, L is the length of the journal, and C is the clearance between the journal and damper when the journal is concentric with the damper. Subscripts 2 and 3 refer to local y and z directions, respectively. u2 and u3 are the journal displacements in the local y and z directions, respectively. is the eccentricity of the journal in the damper. ε is the relative eccentricity with respect to the initial clearance between the journal and the damper, ε = e/C.
The components of the damper force on the journal in local directions is given by
The damping coefficients given above will however become singular when the journal center coincides with damper center since e appears in the denominator of several expressions. The limiting values are:
To avoid the singularity, these values are used while performing eigenfrequency and frequency-domain analyses.