Title:
|
Non-linear oil film force coefficients for a journal bearing operating under aligned and misaligned conditions
|
It is well established that hydrodynamic journal bearings are
responsible for self-excited vibrations and have the effect of
lowering the critical speeds of rotor systems. The forces within the
oil film wedge, generated by the vibrating journal, may be represented
by displacement and velocity coefficient~ thus allowing the dynamical
behaviour 0f the rotor to be analysed both for stability purposes and
for anticipating the response to unbalance. However, information
describing these coefficients is sparse, misleading, and very often
not applicclble to industrial type bearinjs.
Resu'its of a combined analytical and experimental investigation
into the hydrodynamic oil film coefficients operating in the laminar
region are therefore presented, the anal,lsis being applied to a 120
degree partial journal bearing having a 5.0 in diameter journal and
a LID ratio of 1.0.
The theoretical analysis shows that for this type of popular
bearing, the eight linearized coefficients do not accurately describe
the behaviour of the vibrating journal based on the theory of small
perturbations, due to them being masked by the presence of nonlinearity.
A method is developed using the second order terms of
Taylor expansion whereby design charts are provided which predict the
twentyeight force coefficients for both aligned, and for varying
amounts of journal misalignment. The resulting non-linear equations
of motion are solved using a modified Newton-Raphson method whereby
the whirl trajectories are obtained, thus providing a physical
appreciation of the bearing characteristics under dynamically loaded
conditions.
|