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Dangers of Underdrive Pulleys
The Danger of Power Pulleys &
Understanding the Harmonic Damper
By Steve Dinan of Dinan BMW
I have been threatening for a long time to write a series of technical
articles to educate consumers and to dispel misconceptions that
exist about automotive after-market technology. Motivated by problems
with customer's cars resulting from the installation of power pulleys,
I wish to explain the potential dangers of these products and address
the damage they cause to engines.
The theory behind the power pulley is that a reduction in the speed
of the accessory drive will minimize the parasitic losses that rob
power from the engine. Parasitic power losses are a result of the
energy that the engine uses to turn accessory components such as
the alternator and water pump, instead of producing power for acceleration.
In an attempt to minimize this energy loss, many companies claim
to produce additional power by removing the harmonic damper and
replacing it with a lightweight assembly. While a small power gain
can be realized, there are a significant number of potential problems
associated with this modification, some that are small and one which
is particularly large and damaging!
The popular method for making power pulleys on E36 engines is by
removing the harmonic damper and replacing it with a lightweight
alloy assembly. This is a very dangerous product because this damper
is essential to the longevity of an engine. The substitution of
this part often results in severe engine damage.
It is also important to understand that while the engine in a BMW
is designed by a team of qualified engineers, these power pulleys
are created and installed by people who do not understand some very
important principles of physics. I would first like to give a brief
explanation of these principles which are critical to the proper
operation of an engine.
1) Elastic Deformation
Though it is common belief that large steel parts such as crankshafts
are rigid and inflexible, this is not true. When a force acts on
a crank it bends, flexes and twists just as a rubber band would.
While this movement is often very small, it can have a significant
impact on how an engine functions.
2) Natural Frequency
All objects have a natural frequency that they resonate (vibrate)
at when struck with a hammer. An everyday example of this is a tuning
fork. The sound that a particular fork makes is directly related
to the frequency that it is vibrating at. This is its "natural
frequency," that is dictated by the size, shape and material
of the instrument. Just like a tuning fork, a crankshaft has a natural
frequency that it vibrates at when struck. An important aspect of
this principle is that when an object is exposed to a heavily amplified
order of its own natural frequency, it will begin to resonate with
increasing vigor until it vibrates itself to pieces (fatigue failure).
3) Fatigue Failure
Fatigue failure is when a material, metal in this case, breaks
from repeated twisting or bending. A paper clip makes a great example.
Take a paper clip and flex it back and forth 90° or so. After
about 10 oscillations the paper clip will break of fatigue failure.
The explanation of the destructive nature of power pulleys begins
with the two basic balance and vibration modes in an internal combustion
engine. It is of great importance that these modes are understood
as being separate and distinct.
1) The vibration of the engine and its rigid components caused
by the imbalance of the rotating and reciprocating parts. This is
why we have counterweights on the crankshaft to offset the mass
of the piston and rod as well as the reason for balancing the components
in the engine.
2) The vibration of the engine components due to their individual
elastic deformations. These deformations are a result of the periodic
combustion impulses that create torsional forces on the crankshaft
and camshaft. These torques excite the shafts into sequential orders
of vibration, and lateral oscillation. Engine vibration of this
sort is counteracted by the harmonic damper and is the primary subject
of this paper.
Torsional Vibration (Natural Frequency)
Every time a cylinder fires, the force twists the crankshaft. When
the cylinder stops firing the force ceases to act and the crankshaft
starts to return to the untwisted position. However, the crankshaft
will overshoot and begin to twist in the opposite direction, and
then back again. Though this back-and-forth twisting motion decays
over a number of repetitions due to internal friction, the frequency
of vibration remains unique to the particular crankshaft.
This motion is complicated in the case of a crankshaft because
the amplitude of the vibration varies along the shaft. The crankshaft
will experience torsional vibrations of the greatest amplitude at
the point furthest from the flywheel or load.

Harmonic (sine wave) Torque Curves
Each time a cylinder fires, force is translated through the piston
and the connecting rod to the crankshaft pin. This force is then
applied tangentially to, and causes the rotation of the crankshaft.
The sequence of forces that the crankshaft is subjected to is commonly
organized into variable tangential torque curves that in turn can
be resolved into either a constant mean torque curve or an infinite
number of sine wave torque curves. These curves, known as harmonics,
follow orders that depend on the number of complete vibrations (cylinder
pulses) per revolution. Accordingly, the tangential crankshaft torque
is comprised of many harmonics of varying amplitudes and frequencies.
This is where the name "harmonic damper" originates.

Critical RPM's
When the crankshaft is revolving at an RPM such that the torque
frequency, or one of the harmonic sine wave frequencies coincides
with the natural frequency of the shaft, resonance occurs. Thus,
the crankshaft RPM at which this resonance occurs is known a critical
speed. A modern automobile engine will commonly pass through multiple
critical speeds over the range of its possible RPM's. These speeds
are categorized into either major or minor critical RPM's.
Major and Minor Critical RPMs
Major and minor critical RPM's are different due to the fact that
some harmonics assist one another in producing large vibrations,
whereas other harmonics cancel each other out. Hence, the important
critical RPMs have harmonics that build on one another to
amplify the torsional motion of the crankshaft. These critical RPMs
are know as the "major criticals". Conversely, the "minor
criticals" exist at RPM's that tend to cancel and damp the
oscillations of the crankshaft.
If the RPM remains at or near one of the major criticals for any
length of time, fatigue failure of the crankshaft is probable. Major
critical RPMs are dangerous, and either must be avoided or
properly damped. Additionally, smaller but still serious problems
can result from an undamped crankshaft. The oscillation of the crankshaft
at a major critical speed will commonly sheer the front crank pulley
and the flywheel from the crankshaft. I have witnessed front pulley
hub keys being sheered, flywheels coming loose, and clutch covers
coming apart. These failures have often required crankshaft and/or
gearbox replacement.
Harmonic Dampers
Crankshaft failure can be prevented by mounting some form of vibration
damper at the front end of the crankshaft that is capable of absorbing
and dissipating the majority of the vibratory energy. Once absorbed
by the damper the energy is released in the form of heat, making
adequate cooling a necessity. This heat dissipation was visibly
essential in Tom Milner's PTG racing M3 which channeled air from
the brake ducts to the harmonic damper, in order to keep the damper
at optimal operating temperatures. While there are various types
of torsional vibration dampers, BMW engines are primarily designed
with "tuned rubber" dampers.

It is also important to note that while the large springs of a
dual mass flywheel absorb some of the torsional impulses conveyed
to the crankshaft, they are not harmonic dampers, and are only responsible
for a small reduction in vibration.
In addition to the crankshaft issue, other problems can result from
slowing down the accessories below their designed speeds, particularly
at idle. Slowing the alternator down can result in reduced charging
of the battery, dimming of the lights, and computer malfunctions.
Slowing of the water pump and fan can result in warm running, while
slowing of the power steering can cause stiff steering at idle and
groaning noises. It is possible to implement design corrections
and avoid these scenarios, but this would require additional components
and/or software.
Our motto at Dinan is "Performance without sacrifice"
We feel our customers expect ultra high performance along with the
legendary comfort and reliability of a standard BMW.
While it is common that a Dinan BMW is the fastest BMW you can
buy, performance is not our only goal. Dinan isn't just trying to
make the fastest car. Instead a host of considerations go into the
development of our products. Dinan puts much more effort into these
other areas than does our competition.
These considerations are Performance, Reliability (Warranty), Driveability,
Emissions, Value, Fit and Finish. We feel that the power pulley
is a bad way to get extra power from and engine and the potential
for serious engine damage is too great.
This is a simplified explanation meant to be comprehensible by
those who are not automotive engineers. In trying to simplify an
extremely complex topic some precision was sacrificed although we
believe this explanation to be as accurate as possible. We encourage
our customers to educate themselves and understand the automotive
after-market because we believe that our products are the best researched,
engineered, and fabricated products available.
For those interested in a more in depth and technical explanation
of this topic, the reference book is Advanced Engine Technology,
written by Heinz Heisler MSc,BSc,FIMI,MIRTE,MCIT. Heinz Heisler
is the Head of Transportation Studies at The College of North West
London. His book is distributed in this country by the SAE (Society
of Automotive Engineers).
(taken from here)
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