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Goodyear抯 EMT tires can run without air, for at least
80 km (50 miles). This performance is derived from a thick,
reinforced sidewall with specially engineered rubber compounds
capable of withstanding the heat and stress of low-pressure
operation while maintaining handling and comfort.
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Reinventing the Tire:
ALGOR FEA Chosen to Verify Wheel Design for Goodyear 揜un-flat?Tires
Well-inflated tires improve gas mileage, handling and passenger
comfort. More importantly, you really can抰 leave home without
them. Or can you? The only way to get on the road again if a normal
tire becomes flat is to change it. However, new 搑un-flat?tires
have been developed to enable automobiles to be driven at normal
speeds for limited distances even with no air pressure.
Goodyear, the world's largest tire company with annualized sales
of more than $14 billion, developed a run-flat solution called
an extended mobility technology (EMT) tire. During product development,
the company realized that running the tire at low inflation pressures
might adversely affect the wheel. A parametric study of inflation
pressure and stresses in a common wheel was conducted for Goodyear
at the University of Akron using ALGOR FEA software to determine
whether low inflation pressures would damage the wheel.
EMT Tires Developed to Run Even When Flat
The EMT tires can run without air, fully loaded, for a minimum
of 80 km (50 miles) and a maximum of 150 km (93 miles) at 80 km/h
(50 mph), depending on the vehicle on which they are fitted. The
run-flat performance is derived from a thick, reinforced sidewall
with specially engineered rubber compounds capable of withstanding
the heat and stress of low-pressure operation. If inflation pressure
is lost, the design prevents the tire from coming off the rim,
without significant effects on handling and comfort.
Wheel Stresses Investigated
Because tires deflect so much more than wheels, the wheel is
usually assumed to be rigid during tire design. 揗ost wheels are
over-designed in order to meet durability and fatigue standards,?said
John Stearns, who conducted the parametric FEA study of the wheel
for Goodyear as his doctoral project at the University of Akron.
揟ire manufacturers don抰 often have to study stresses in the wheel
for a particular tire design. However, because run-flat tires
have more weight, thicker sidewalls and a different range of possible
operating pressures, the standard tire wheel needed to be re-evaluated
in order to ensure safety.?nbsp;
Stearns modeled a typical aluminum wheel with conventional styling
in Pro/ENGINEER based on an actual, common wheel and 2-D drawings
provided by Goodyear. The geometry was captured from Pro/ENGINEER
with ALGOR抯 InCAD technology. 揢sing InCAD technology is a lot
cleaner than using IGES file translation, offering more control
and less hassle with file export settings,?said Stearns.
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| The wheel geometry was modeled in Pro/ENGINEER and
captured using ALGOR抯 InCAD technology. |
Stearns generated a hybrid finite element mesh consisting of
a combination of brick and tetrahedral elements, with mesh refinement
near the area where the tire is mounted to the vehicle. He experimented
with the number of elements through the thickness of thin parts
such as the rim to arrive at a model consisting of about 35,000
elements. 揙ne of the reasons I chose ALGOR for this project was
its flexible meshing capabilities, which were needed for the complex
geometry of the wheel,?said Stearns.
The wheel was fully constrained at the five lug nut holes and
partially constrained at the center hole such that the wheel was
only free to rotate and slide on the axle. The loading on the
model needed to consider both the weight of the car and the inflation
pressure of the tire.
The weight of the car on the tire was considered to be 1,000
pounds, which is the maximum load for which the tire is rated.
Given that the average car is about 2,000 pounds, which is distributed
over 4 tires (500 pounds per tire), the 1,000 pound maximum is
about twice what a tire would actually have to support. This weight
was applied as a pressure load onto the bottom section of the
wheel in a parabolic distribution. Specifically, this load is
carried by the part of the wheel called the bead seat, which is
the flat area just inside the outer rim. This distribution of
weight was calculated from a standard formula for this type of
application. In addition to pressures that simulate the weight
of the car, Stearns added the inflation pressure of the tire.
In a series of three cases, he considered inflation pressures
of 0 psi, 17 psi and 35 psi. Inflation pressures are normally
derived from the car manufacturer on a vehicle-by-vehicle basis.
However, 35 psi is common inflation pressure setting.
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| This drawing illustrates how the weight of the car
was applied to the wheel. This distribution of weight
was calculated from a standard formula for this type of
application. |
For each of the inflation pressures, a linear static stress analysis
was performed. Stearns looked at the deflection, maximum principal
stress and maximum principal strain results. 揟he results revealed
that the inflation pressure does affect stress in the wheel,?said
Stearns. 揌igher stresses were found at lower pressures. That may
seem counter-intuitive unless you consider that the pressure helps
to maintain the wheel抯 round shape. At lower pressures, the weight
of the car deflects the wheel into an oval shape which results
in higher stresses.?nbsp;
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| Evaluation of maximum principal stresses showed that
the wheel experienced greater stress at lower inflation
pressures. Above is the maximum principal stress contour
in ALGOR for the wheel at 0 psi inflation pressure. |
In the laboratory, Stearns and Goodyear personnel studied the
three tire inflations with strain gauges and found good correlation
between the experimental and FEA results. 揇epending on the location
of the readings on the wheel, correlation was as low as 5%,?said
Stearns.
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| In the laboratory, the EMT tire was tested
at various inflation pressures (left). John Stearns of
Goodyear (right) shows the equipment that measured the
wheel抯 performance. The laboratory results correlated
well with ALGOR linear static stress analysis results. |
Although stresses were higher at lower inflation pressures than
at the recommended pressure, the magnitude of the stresses was
low enough that a standard wheel could be safely recommended for
EMT tires as long as stringent wheel tolerances are met.
By the end of 2002, Goodyear will have sold more than one million
EMT tires. Goodyear EMT tires are original equipment on the Chevrolet
Corvette, Daimler Chrysler Prowler and the Mini from BMW Group.
It is also an option on the BMW 3 Series cars sold in North America.
Stearns has also used ALGOR for other tire, wheel and manufacturing
component projects.
Goodyear, located in Akron, Ohio, makes tires, rubber products
and polymers for automotive and industrial applications. John
Stearns earned his Ph.D. from the University of Akron and is currently
working for Goodyear as a Senior Development Engineer. He has
also worked for the Rubbermaid Corporation.
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