|
|
Predictions
of wear based on the forces and slip velocities calculated using
the unworn first cycle geometry will not accurately predict a
mechanism’s useful life. This
is because there is a coupling between the contact conditions and
the geometry of the components, which are changing as they wear.
The ability to accurately predict how a mechanism will
perform over an extended number of cycles requires knowledge of how
the components are changing during operation.
Using an Archard’s wear constant, a closed form expression
describing the coupled evolution of the contact loads and wear for
a circular-cam with a flat-faced follower is developed.
Further, these closed form expressions for load and wear,
which are given in terms of the number of cam-cycles n, are
non-dimensionalized by the cam eccentricity, width, and the
Archard’s wear constant. The
non-dimensional wear and load are functions of the number of cycles
and the non-dimensional group termed wear-compliance, which is the
product of the Archard’s wear constant and the spring constant
over the cam width. Non-dimensional
closed form equations are also developed for an uncoupled evolution
of geometry and wear, and the predictions in useful life are
compared for the coupled and uncoupled equations.
The uncoupled wear predictions always over predict wear, and
greatly over predict wear under conditions of high spring
stiffness, low wear resistance, narrow cam widths and large numbers
of cycles. It is
suggested that a coupling of the evolution of geometry and contact
conditions must be accounted for when making life predictions of
wearing mechanisms based solely on wear.
|