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БИБЛИОТЕКА по теме «Исcледование работоспособного состояния привода» | ||
Machines aren’t supposed to break,
and mechanical components such as shafts, fasteners, and structures aren’t
supposed to fail. But when they do fail, they can tell us exactly why.
It may sound a little far-fetched, but experts say
that the causes for more than 90% of all plant failures can be detected with a
careful physical examination using low power magnification and some basic
physical testing. Inspection of the failure will show the forces involved,
whether the load applied cyclically or was single overload, the direction of the
critical load, and the influence of outside forces such as residual stresses or
corrosion. Then, accurately knowing the physical roots of the failure, you can
pursue both the human errors and the latent causes of these physical
roots.
UNDERSTANDING THE BASICS
Before explaining how to diagnose a failure, we
should review the effects of stress on a part. When a load is put on a part, it
distorts. In a sound design the load isn’t excessive, the stress doesn’t exceed
the "yield point", and the part deforms elastically, i.e., when the load is
released the part returns to its original shape. This is shown in figure
1, a "stress-strain" diagram that shows the relationship between loads and
deformation.
In a good design, the part operates in the elastic
range, the area between the origin and the yield strength, the part will be
permanently deformed. Even greater increases in load will cause the part to
actually break.
figure 1 illustrates a very basic
point of design, and applies when the load on a part is relatively constant,
such as the load on the frame of a building or the stress in the legs of your
desk. It is a very different case when fluctuating loads are applied, such as
those in a hydraulic cylinder or in an automotive connecting rod. These
fluctuating loads are called fatigue loads, and when the fatigue strength is
exceeded, a crack can develop. This fatigue crack can slowly work its way across
a part until a fracture occurs. (Corrosion can greatly affect the fatigue
strength). Machine components can fracture from either a single
overload force or from fatigue forces. Looking at the failure face will tell
which of these was involved. A single overload can result in either a ductile
fracture or a brittle fracture.
DUCTILE OVERLOAD VS. BRITTLE OVERLOAD
FAILURES
A "ductile failure" is one where there is a great
deal of distortion of the failed part. Commonly, a ductile part fails when it
distorts and can no longer carry the needed load, like an overloaded steel coat
hanger. However, some ductile parts break into two pieces and can be identified
because there is a great deal of distortion around the fracture face, similar to
what would happen if you tried to put too much load on a low carbon steel
bolt.
The term "brittle fracture" is used when a part is
overloaded and breaks with no visible distortion. This can happen because the
material is very brittle, such as gray cast iron or hardened steel, or when a
load is applied extremely rapidly to a normally ductile part. A severe shock
load on the most ductile piece can cause it to fracture like glass.
An important point about failures is that the way the
load is applied, i.e., the direction and the type, can be diagnosed by looking
at the failure face. A crack will always grow perpendicular to the plane of
maximum stress. Below we show examples of the difference in appearance between
ductile overload and brittle overload failures.
From the examples above in Figure 2, we know
we can look at an overload failure and knowing the type of material, tell the
direction of the forces that caused the failure. Common industrial materials
that are ductile include most aluminum and copper alloys, steels and stainless
steels that are not hardened, most non-ferrous metals, and many plastics.
Brittle materials include cast irons, hardened steel parts, high strength
alloyed non-ferrous metals, ceramics, and glass.
One note of caution is that the type of fracture,
ductile or brittle, should be compared with the nature of the material. There
are some instances where brittle fractures appear in normally ductile materials.
This indicates that either the load was applied very rapidly or some change has
occurred in the material, such as low temperature embrittlement, and the
material is no longer ductile. An example of this was a low carbon steel clip
used to hold a conduit in position in a refrigerated (-50 F) warehouse. The clip
was made from a very ductile material, yet it failed in a brittle manner. The
investigation showed it had been hit by a hammer, a blow that would have
deformed it at normal temperatures.
In a brittle overload failure, separation of the two
halves isn’t quite instantaneous, but proceeds at a tremendous rate, nearly at
the speed of sound in the material. The crack begins at the point of maximum
stress, then grows across by cleavage of the individual material grains. One of
the results of this is that the direction of the fracture path is frequently
indicated by chevron marks that point toward the origin of the failure.
Example 1 is a photograph of the input shaft of a reducer where the
chevron marks clearly point toward the failure origin, while figure 3 is
a sketch of the cross section of the wall of a ruptured 20ft. (6.1 m.) diameter
vessel. In both cases, by tracing the chevron marks back to their origin, we
knew exactly where to take samples to determine if there was a metallurgical
problem.
FATIGUE FAILURES
So far we’ve talked about the gross overloads that
can result in immediate, almost instantaneous, catastrophic failures. A very
important distinction is that fatigue cracks take time to grow across a part. In
a fatigue failure, an incident of a problem can exceed the material’s fatigue
strength and initiate a crack that will not result in a catastrophic failure for
millions of cycles. We have seen fatigue failures in 1200 rpm motor shafts that
took less than 12 hours from installation to final fracture, about 830,000
cycles. On the other hand, we have also monitored crack growth in slowly
rotating process equipment shafts that has taken many months and more than
10,000,000 cycles to fail.
Figure 4 shows a simple fatigue crack with the
different growth zones and the major physical features.
The fatigue zone is typically much smoother than the
instantaneous zone, which is usually brittle and crystalline in appearance.
Progression marks are an indication that the growth rate changed as the crack
grew across the shaft and don’t appear on many failure faces.
There are some complex mechanisms involved in the
initiation of a fatigue crack and once the crack starts, it is almost impossible
to stop because of the stress concentration at the tip.
STRESS CONCENTRATION
A stress concentration is a physical or metallurgical
condition that increases the local stress in the part by some factor. A good
example is the shaft shown in Figure 5. We see that the stress in the area of
the radius varies depending on the size of the radius. A small radius can
increase the stress dramatically.
Stress concentrations, indicated by the symbol Kt,
can be caused by changes in metallurgy, internal defects, or changes in shape.
There is extensive data that indicates that the resultant values depends on both
the type of stress, i.e., bending, torsion, etc., and the general shape of the
part.
Stress concentrations have a great effect on crack
initiation because of their effect on increasing the local stress. The crack can
start solely as the effect of the operating loads or it can be multiplied by the
stress concentration factor.
WHAT TYPE OF LOAD WAS IT?
The face of a fatigue failure tells us both the type
(bending, tension, torsion or a combination) and the magnitude of the load. To
understand the type of load, look at the direction of crack propagation. It is
always going to be perpendicular to the plane of maximum stress. The four
examples in Figure 6 reflects four common fracture paths.
Figure 6 brings up the question "what type of
bending?" Was it one-way plane bending, like a leaf spring or a diving board, or
was it rotating bending, such as a motor shaft with a heavy belt load? As seen
in Figure 7, looking at the fracture face again tells us the type of
load. Notice that "rotating load" on the right causes the crack to grow in a
non-uniform manner. In general, when the divider of the instantaneous zone does
not point to the origin, it shows there was a rotating bending involved in the
failure cause.
HOW HEAVILY WAS IT LOADED?
Fatigue failures almost always start on the outside
of a shaft at a stress concentration, because the local stress is increased.
However, the instantaneous zone (IZ) carries the load in the instant before the
part breaks. By looking at the size of the IZ, you can tell the magnitude of the
load on the part. Figure 8 shows a comparison between a lightly and a
heavily loaded shaft for both plain bending and rotational bending.
THE EFFECT OF STRESS CONCENTRATIONS ON A FRACTURE
FACE
If a part is relatively lightly stressed, the
cracking will start at only one point and the result will look like one of the
examples above. However, if a shaft is more heavily loaded, then cracks can
start in several places and work their way across the part. In Figure 9
we see a sketch of a rotating shaft that failed in only a few weeks. Inspecting
it, you can see the instantaneous zone is very small, indicating it wasn’t
highly stressed. Also, the crack is straight across the shaft, showing the cause
was a bending load. But if the load was light, why did the shaft fail? The
answer is stress concentrations.
Looking at the fracture face, you see a series of
ratchet marks. These are the boundaries between adjacent fracture planes, i.e.,
between each pair of ratchet marks is a fracture origin, and as these individual
cracks grow inward they eventually join together on a single plane. The small
instantaneous zone indicates the stress at the time when the shaft finally broke
was low, but the multiple origins and the ratchet marks show us there was enough
stress to cause cracking at many points around the perimeter almost
simultaneously.
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