TESTER EQUIPMENT DESCRIPTION
The suspension tester is a diagnostic tool that assesses the condition of the
suspension on a vehicle. The construction of the suspension tester meets or exceeds
all EuSAMA specifications.
The testing procedures are: the operator adjusts the tire pressure
to within 5% of manufacturer recommended tire pressure [ 1], and then positions
the tires of the vehicle on the suspension tester platform. The vehicle
transmission should be shifted into neutral for the test and the brakes may
be applied if necessary. The suspension tester can be set up to start
automatically or manually and can be operated at the console or by remote
control. In automatic mode the test will start when a vehicle is driven onto
the platform. Each wheel is tested independently by a vertical sinusoidal
oscillation of the suspension tester platform with a constant amplitude of
3 mm (0.1181 in). The suspension tester contains load cells to measure the
vertical force of the tire on the moving platform and a sensor to measure
plate position. The operating frequency range is from 25 Hertz down to 0
Hertz. After a test is completed, the following information is available
on the monitor screen:
- Adhesion vs. frequency
- Wheel hop frequency
- Minimum adhesion at wheel hop frequency
- Static weight at each wheel
- Adhesion balance from side-to-side
- Phase angle balance from side-to-side
- Ride stiffness
- Phase angle vs. frequency
- Ride harshness isolation
- Minimum phase angle
- Tire stiffness
- Conclusions
After a test is completed the following is part of the additional
information available for automatic printout.
- Front Suspension Results
- Rear Suspension Results
- Suspension Adhesion Suspension Results
- Suspension Damping
- Customer Identification
- Summary
- Warnings and Conclusions
INTERPRETATION OF MEASUREMENTS
Vehicle performance measurements are affected by the following parameters:
- Suspension damper Suspension type
- Sprung mass Vehicle elevation
- Unsprung mass Vehicle dynamics
- Suspension spring Repeatability of tester
- Tire characteristics Vehicle position on tester
The following evaluation studies have been done analytically
and experimentally on the quarter-vehicle simulator and on various vehicles.
EFFECT OF SUSPENSION DAMPER VALUE
(C1) - Both the phase
angle curve and the adhesion curve are greatly affected by the damping value.
With low damping values, the adhesion and phase angle curves both show high
peaks and low valleys in the region between the sprung mass resonant frequency
and wheel hop frequency. With an adequate damping value at the unsprung mass
resonant frequency, both minimum adhesion and phase angle increase. Adequate
damping values have higher minimum phase angles with a gradual slope near
wheel hop frequency, a high minimum adhesion, a high minimum phase angle,
and a higher ride stiffness.

Figure 8a: Analytical Effect of Suspension Damping on Phase Angle.
C1=.18 (1), .88 (5), 1.75 (10), 3.5(20), 7 (40) kN sec/m (lb.sec/in.);
M1= 234
kg (515 lbs), M2= 43 kg (95 lbs), K1=56 kN/m (320 lb/in),
K2=182 kN/m (1040 lb/in), C2=0 kN sec/m (lb.sec/in.)

Figure 8b:Analytical Effect of Suspension Damping on Adhesion.
C1 = .18 (1), .88 (5), 1.75 (10), 3.5(20), 7 (40) kN sec/m (lb.sec/in.);
M1
= 234 kg (515 lbs), M2 = 43 kg (95 lbs), K1 = 56 kN/m (320 lb/in),
K2 = 182 kN/m (1040 lb/in), C2 = 0 kN sec/m (lb.sec/in.)
The dampers of a vehicle are necessary to control vibrations
at the resonant frequency of the sprung and unsprung masses.
Critical damping for a system is the minimum amount of damping
required to prevent the displacement of the mass from passing the equilibrium
position after an initial displacement. The damping ratio or damping factor,
z, is the ratio of
the damping present in the system to the critical damping and can be obtained
from the phase angle and adhesion graphs. Passenger cars suspension damping
ratio
(z1) usually
falls between 0.2 and 0.4 for the sprung masses [7]. The damping ratios usually
vary with frequency and amplitude. The approximate values of the critical
damping for the sprung and unsprung masses can be found using equations 14
and 15, and should not exceed z1,2= 0.5.
(14)
(15)
The damping value of automotive dampers varies with frequency,
amplitude, and direction. Dampers can be divided into the compression (jounce)
stage and the rebound (extension) stage. Rebound damping is usually one to
six times greater than compression damping and allows the damper to dissipate
energy stored in the spring and minimizes body motion velocity. Table 3 shows
that the damping values in compression have a greater effect on adhesion
and phase angle than damping values in rebound.
Table 3: Experimental Effect of Rebound
and Compression Damping Values.
M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs),
K1 = 56 kN/m (320 lb/in), K2 = 182 kN/m (1040 lb/in),
C2 = 0 kN sec/m (lb.sec/in.)
| Rebound Damping Value C1R kN sec/m (lb.sec/in.) |
Comp. Damping Value C1C kN sec/m (lb.sec/in.) |
Min. Adhesion (%) |
Min. Phase Angle Degree |
Ride Stiffness (%) |
Ride Harshness Isolation (%) |
| .7(4) |
.7(4) |
7.5 |
0.0 |
48 |
65 |
| 1.2(7) |
1.2(7) |
37.8 |
47.2 |
58 |
66 |
| 1.1(6.5) |
2(11.5) |
41.9 |
54.3 |
54 |
66 |
| 2(11.5) |
1.1(6.5) |
28.6 |
37.2 |
61 |
66 |
| 2(11.5) |
2(11.5) |
43.0 |
57 |
55 |
66 |
Conventional hydraulic dampers have little effect on the suspension system
performance at frequencies of 20 Hertz and above. The damping present in
an automotive suspension is made up of the viscous (hydraulic) damping and
friction damping. At frequencies above 20 Hertz the suspension's mounting
bushings, tires, suspension spring, and friction damping of the suspension
system become very important in limiting the motion, vibration, and noise
of the suspension system (also referred to as ride harshness isolation).
The damping value required in the suspension system decreases as frequency
increases from the wheel hop frequency.
The force transmitted to the sprung mass that is obtained from going over
a bump is reduced as the compression damping value of the shock absorber
is increased because the velocity of the unsprung mass is lower. Conventional
multi-stage dampers have a higher damping value at lower velocities and a
lower damping value at higher velocities. The modified damper has a smaller
damping value in compression at low velocities and a larger damping value
at higher velocities [ ].
ADJUSTING MULTI-RATE DAMPERS - The adjustable multi-rate dampers tested have
three different damping settings: regular, firm, and extra firm. The effect
of changing the settings can be seen in Table 4.
Table 4a: Damper Setting Affecting both Phase Angle and Minimum Adhesion
of a 1981 Chevrolet Luv.
Damper Setting |
Minimum Phase Angle (Degrees) |
Minimum Adhesion (%) |
| Regular |
45.0 |
39.0 |
| Firm |
52.6 |
46.9 |
| Extra-Firm |
59.4 |
48.8 |
Table 4b: Damper Setting having more of an Effect on Phase Angle of a 1976 Buick Estate Wagon.
| Damper Setting |
Minimum Phase Angle (Degrees) |
Minimum Adhesion (%) |
| Regular |
21.8 |
55.9 |
| Firm |
36.6 |
59.1 |
| Extra-Firm |
45.2 |
60.8 |
Table 4 shows that minimum adhesion and phase angle may or may not
always improve in the firmer damper setting because the damper could have
higher damping values only at lower velocities and has lower damping values
at higher velocities.
DAMPER MOUNTING - Improper mounting can sometimes be detected by the suspension
tester by comparing two wheels on each side of the axle. In Table 5, the
top nuts on both stud-mounted front shock absorbers were not properly tightened,
allowing some movement in the upper mount. These new after-market dampers
failed the phase angle criteria but did not fail the adhesion criteria. After
proper installation the same dampers passed both criteria.
Table 5: Effects of Improper Mounting on a '76 Buick Estate
Wagon.
| Mounting |
Minimum Phase Angle (L/R) |
Minimum Adhesion (L/R) |
Side to Side Adhesion Balance (L/R) |
| Improper |
28.1 / 20.2 |
56.3 / 44.9 |
7.6 |
| Proper |
46.3 / 38.0 |
61.4 / 59.5 |
-0.6 |
The suspension tester cannot detect all types of improper mounting. The strut-rod
rattled as it was run on the suspension tester and it was found that the
top nut was not properly tightened, thus allowing very small movement in
the mount. In Table 6, the left side was initially mounted improperly and
the right side was not changed.
Table 6: Effect of Improper Mounting on an '85 Toyota Camry
| Mounting |
Minimum Phase Angle (L/R) |
Minimum Adhesion (L/R) |
Side to Side Adhesion Balance (L/R)
|
| Improper |
89.1 / 92.5 |
71.0 / 73.0 |
-4.6 |
| Proper |
96.6 / 91.2 |
75.4 / 72.5 |
-0.7 |
REPLACEMENT OF DAMPERS - New after-market dampers were installed on vehicles
that failed the suspension tester criterion. Table 7 shows the average minimum
phase angle and adhesion before and after replacement.
Table 7: Changes in Suspension Characteristics due to Replacement of Dampers
| Damper Condition |
Minimum Phase Angle |
Minimum Adhesion |
| Before |
19.3 |
24.5 |
| After |
67.6 |
57.3 |
EFFECT OF SPRUNG MASS (M1) -
The sprung mass has a greater effect on adhesion, ride stiffness, and ride
harshness isolation. It has a small effect on phase angle. Different side-to-side
weight distributions also effect the side-to-side measurement of adhesion,
ride stiffness, and ride harshness isolation. Figure 10 shows the effect
of the sprung mass on both phase angle and adhesion.

Figure 10a:
Analytical Effect of Sprung Mass on Phase Angle:
M1 = 234(515), 279(615), 324)715), 370(815), 415(915),
460(1015) kg (lbs);
M2 = 43 kg (95lbs), K1 = 56 kN/m (320 lb/in), K2
= 182 kN/m (1040 lb/in),
C1 = 1.75 kN sec/m (10 lb.sec/in.)

Figure 10b: Analytical Effect of Sprung Mass on Adhesion:
M1 = 234(515), 279(615), 324)715), 370(815), 415(915), 460(1015) kg (lbs);
M2 = 43 kg (95lbs), K1 = 56 kN/m (320 lb/in), K2
= 182 kN/m (1040 lb/in),
C1 = 1.75 kN sec/m (10 lb.sec/in.)
EFFECT OF UNSPRUNG MASS
(M2) - A higher unsprung
mass increases the inertia of the suspension system which reduces the minimum
phase angle and wheel hop resonant frequency, but increases the ride stiffness
and amount of energy absorbed by the tire, which increases the ride harshness
isolation. The unsprung mass has a greater effect on the wheel hop frequency
and minimum phase angle, a moderate effect on ride stiffness and ride harshness
isolation, and a small effect on adhesion. A higher unsprung mass causes
a lower minimum phase angle between the sprung and unsprung masses resonant frequency.
A higher damping value is required for a larger mass.
The effects of the unsprung mass can be seen in Figures 11a, 11b.

Figure 11a:
Analytical Effect of Unsprung Mass on Phase Angle:
M2 = 43 kg (95 lbs), 48 kg (105 lbs), 52 kg (115 lbs), 61 kg (135 lbs);
M1=234 kg (515 lbs), K1=56 kN/m (320 lb/in),
K2=182 kN/m (1040 lb/in),
C1=1.75 kN sec/m (10 lb.sec/in.)

Figure 11b:
Analytical Effect of Unsprung Mass on Adhesion:
M2 = 43 kg (95 lbs), 48 kg (105
lbs), 52 kg (115 lbs), 61 kg (135 lbs);
M1 = 234 kg (515 lbs), K1 =56 kN/m (320 lb/in), K2
=182 kN/m (1040 lb/in),
C1=1.75 kN sec/m (10 lb.sec/in.)
SUSPENSION SPRING EFFECT (K1) - The suspension
spring stiffness has a greater effect on ride stiffness, adhesion and phase
angle from the sprung mass resonant frequency to the wheel hop frequency,
a moderate effect on minimum phase angle and minimum adhesion, and a small
effect on ride harshness isolation. Figure 12 illustrates the effect of unsprung
mass on both phase angle and adhesion. Variable rate springs can have a spring
rate lower than that of a conventional linear springs for the same vehicle
under normal load conditions. This results in the normally loaded vehicle
with variable rate springs having the same or lower adhesion than the normally
loaded vehicle equipped with conventional linear springs but improves the
ride quality. Under higher load conditions, the vehicle with variable rate
springs will demonstrate higher performance than the comparably loaded vehicle
with conventional linear springs.

Figure 12a:
Analytical Effect of Suspension Spring Constant on Phase Angle:
K1 = 42 (240), 56 (320), 84 (480), 105 (600) kN/m (lb/in);
M1=234 kg (515 lbs), M2=43 kg (95lbs),
K2=182 kN/m (1040 lb/in),
C1=1.75 kN sec/m (10 lb.sec/in.)

Figure 12b: Analytical Effect of Suspension Spring Constant on Adhesion:
K1 = 42 (240), 56 (320), 84 (480), 105 (600) kN/m (lb/in);
M1=234 kg (515 lbs), M2=43 kg (95lbs),
K2=182 kN/m (1040 lb/in),
C1=1.75 kN sec/m (10 lb.sec/in.)
TIRE EFFECT (K2 AND
C2) - All of the suspension
tester information is acquired through the tires. Therefore, to accurately
assess the condition of the dampers, it is important to adjust the tires
to the recommended pressure. This pressure is usually between 28 and 35 p.s.i.
for passenger vehicles. It is important that wheels on the same axle have
equal tire pressures. Figure 13 shows the effect of tire pressure on the
phase angle and adhesion.

Figure 13a: Effect of Tire Inflation Pressure on Phase Angle.

Figure 13b: Effect of Tire Inflation Pressure on Adhesion.
As shown in Figure 13b, the relationship of tire pressure to
adhesion is an inverse relationship in the proper range of inflation and
load on the tire.
The true tire response to a bump is a complicated, non-linear
problem that varies with vehicle speed. Usually, increasing the width of
a tire and/or decreasing the aspect ratio increases the tire spring constant
for the same tire pressure. The effective tire spring constant decreases
with increasing vehicle velocity. Along with amplitude and frequency of the
displacement, the tire construction and sprung mass can also change the spring
constant of the tire by more than 10%. During the suspension test, the tire
spring constant will be slightly larger than the spring constant of the rolling tire.
The rolling tire, in Figure 14a, shows that the stationary
wheel will have a spring constant up to 22% higher than that of a rolling
wheel. However, the temperature of a rolling tire will increase, consequently
increasing both the tire pressure and the tire spring constant.

Figure 14a: Rolling vs. Still Tire Spring Constant [ ].

Figure 14b: Tire Spring Constant
vs. Tire Pressure.
 
Figure 14c: Tire Spring Constant vs. Frequency [ ].

Figure 14d: Tire Spring Constant vs. Load for Different Tire Sizes and Pressures.
The tire spring constant is greatly effected by the inflation
pressure. A higher tire spring constant allows more of the road disturbance
to be transferred to the sprung mass and increases the acceleration of the
unsprung mass at wheel hop frequency. A higher tire pressure increases road
noise and causes more disturbances to be transferred to the sprung mass.
A change of one p.s.i. of tire pressure can change the minimum adhesion by
0.5% to 2.2%. From testing over 100 different vehicles, an increase of one
p.s.i of tire pressure decreased adhesion by an average of 1.2%. Figure's
15a and 15b show the effects of the tire spring constant on phase angle and
adhesion.

Figure 15a: Analytical Effect of Tire Spring Constant on Phase Angle:
K2 = 153 (875), 182 (1040), 273 (1560) kN/m (lb/in);
M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs), K1
= 56 kN/m (320 lb/in),
C1 = 1.75 kN sec/m (10 lb.sec/in.)

Figure 15b: Analytical Effect of
Tire Spring Constant on Adhesion:
K2 = 153 (875), 182 (1040), 273 (1560) kN/m (lb/in);
M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs), K1
= 56 kN/m (320 lb/in),
C1 = 1.75 kN sec/m (10 lb.sec/in.)
The tire spring constant has a greater effect on adhesion,
phase angle, wheel hop frequency and ride harshness isolation, and a small
effect on ride stiffness. The inherent damping of the tire is negligible
compared to the suspension damping. Figure's 16a and 16b show the analytical
curves simulating various tire damping values.

Figure 16a: Analytical Effect of Tire Damping on Phase Angle:
C2 = 0, .53 (3), .88 (5) kN sec/m (lb.sec/in.);
M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs), K1= 56 kN/m (320 lb/in),
K2 = 182kN/m (1040 lb/in), C1 = 1.75 kN sec/m (10 lb.sec/in.)

Figure 16b: Analytical Effect of Tire Damping on Adhesion:
C2 = 0, .175 (1), .35 (2), .53 (3), .7 (4), .88 (5) kN sec/m (lb.sec/in.);
M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs), K1= 56 kN/m (320 lb/in),
K2 = 182kN/m (1040 lb/in), C1 = 1.75 kN sec/m (10 lb.sec/in.)
SOLID-AXLE RESONANCE - A non-independent suspension system
has two resonance frequencies for the unsprung mass. Tramp is the wheel hop
frequency of the wheel in which a pair of wheels hop in opposite phase and
parallel hop is the resonance frequency of the wheel in which a pair of wheels
hop in phase. Tramp frequency is higher than parallel hop frequency.

Figure 17: Adhesion Curve for a Solid-Axle.
The solid-axle phenomenon as seen in Figure 17 has a sharp
spike in the adhesion curve that is dependent on the damping value. Vehicles
with anti-roll bars may or may not show similar results. The solid-axle in
the following figure was tested without dampers, with one new damper, and
with two new dampers. As demonstrated in Figure 18, the phase angle is sensitive
to damping.

Figure 18: Solid Axle Effect Due to Removal of Dampers
on a 1984 Oldsmobile Custom Cruiser.
VEHICLE TOLERANCES - Vehicle tolerances simply means that vehicles
of the same make, model, year, and specifications will show some deviation
in suspension tester results. These deviations occur due to variations in
dampers, springs, tires, and friction in the suspension. Spring and damper
characteristics can vary as much as +/- 10% due to manufacturing
tolerances.
VEHICLE ATTITUDE EFFECTS - A 4% vehicle pitch attitude difference
from the front to rear axle caused up to 2% deviation in minimum adhesion.
The variations caused by vehicle attitude are dependent on the type of vehicle.
VEHICLE DYNAMIC EFFECTS - The suspension tester is a tool for
the rapid diagnosis of the suspension system. It does not attempt to account
for the effects of vehicle motion. An example of this would be aerodynamics.
The aerodynamic lift (or down force) characteristics of a vehicle affect
the adhesion when the vehicle is moving. A wheel that is out of balance or
wheel with radial runout will affect the minimum adhesion and ride harshness isolation.
REPEATABILITY OF SUSPENSION TESTER
- A possible source of deviation of the suspension tester results is the
heating up of the damper due to repeated testing, which reduces the viscosity
of the fluid. Continuous testing showed a deviation of less than 4 degrees
in phase angle and less than 2% in adhesion during five trials. This test
was performed at about 70 degrees Fahrenheit ambient temperature. EuSAMA
recommends that the shock absorber temperature during the test should be
between 32 and 122 degrees Fahrenheit [1].
EFFECTS OF VEHICLE POSITIONING ON MEASUREMENTS - The vehicle
must remain stationary during the test to provide accurate and repeatable
results. The following parameters were checked:
- Wheel stop bars and brakes
- Vehicle steering direction
- Vehicle side-to-side positioning
- Vehicle elevation effects
WHEEL STOP BARS AND BRAKES - Stop bars were mounted on a suspension
tester platform to help position the vehicle and prevent it from moving during
the test. Due to a reduction of the tire contact area, stop bars increase
the tire spring constant. Stop bars have the largest effect on smaller tires
and can decrease the minimum phase angle and minimum adhesion by up to 30%.
Stop bars should not be used on suspension tester. The best method of keeping
the vehicle from rolling off the platform is by mounting the suspension tester
on a flat surface. The vehicle transmission should be shifted into
neutral during the test. If the vehicle still tends to roll, holding the
brake causes an adhesion deviation of only 2%.
VEHICLE STEERING DIRECTION - When the vehicle is on the suspension
tester it is usually steering straight ahead. The effect of the steering
direction was taken into account because it changes the weight distribution
between the wheels. This effect was noted to be small. Differences in measured
values from lock to lock of the steering wheel resulted in an adhesion deviation
of less than 3%, ride stiffness deviation less than 4.5% and phase angle
by less than 4%.
VEHICLE SIDE-TO-SIDE POSITIONING - The vehicle side-to-side
positioning has very little effect on the results. The differences from
positioning the vehicle as far as possible to each side produced a deviation
of only 1.5% from the mean. If the tire rubs against the suspension tester
covers, the suspension tester will display the message, “Check wheels for
side-to-side interference.” This is detected by a large variation of adhesion
at the lower frequencies.
PLATFORM DISPLACEMENT AMPLITUDE OF THE SUSPENSION TESTER -
The displacement amplitude of the suspension tester platform is inversely
proportional to the adhesion and has no effect on the phase angle. Figure
19b shows the adhesion values decreasing as the displacement amplitude increases.

Figure 19a:
Analytical Effect of Suspension Tester Platform Amplitude on Phase Angle:
A = .0015, .003, .0045 m; M1 = 234 kg (515 lbs), M2 =
43 kg (95lbs), K1 = 56 kN/m (320 lb/in),
K2 = 182kN/m (1040 lb/in), C1 = 1.75 kN sec/m (10
lb.sec/in.)

Figure 19b: Analytical Effect of Suspension Tester Platform Amplitude on Adhesion:
A = .0015, .003, .0045 m; M1 = 234 kg (515 lbs), M2 = 43 kg (95lbs), K1 = 56 kN/m (320 lb/in),
K2 = 182kN/m (1040 lb/in), C1 = 1.75 kN sec/m (10 lb.sec/in.)
VEHICLE SUSPENSION EVALUATION - The vehicles tested should
be able to be evaluated decisively without the use of tabulated values or
the need for the operator to reference any vehicle specifications. Using
both phase angle and adhesion data it is possible to quantify the
following:
- Suspension performance
- Damper performance
- Suspension balance
- Ride stiffness
- Ride harshness isolation
The EuSAMA minimum adhesion requirements have been modified
to compensate for the effect of the sprung mass. The modified minimum adhesion
requirement was determined analytically and experimentally from vehicles
that were tested with weight added in 100 pound (45.4 kilogram) increments.
EuSAMA specifications do not account for the effect of the vehicle's weight.
Dampers with minimum phase angles less than 40 degrees,
corresponding to damping ratio z2 = 0.08 of the unsprung mass, are
considered to be weak. To improve ride comfort, some dampers are designed
to be soft and have very low damping values and thus will have very low phase
angles. Replacing the dampers on these vehicles may or may not improve the
measured adhesion or phase angle, depending on the damping characteristics
of the replacement dampers. For example, firmer dampers having at least a
60 degree minimum phase angle will usually increase the adhesion and increase
the ride stiffness.
Some vehicles show better adhesion
without dampers than others with good dampers. In Figure 20, the rear axle
characteristics of a new 1992 Volkswagen Jetta GL4 and a 1982 Ford Ranger
pickup truck were compared. The new Volkswagen had known good dampers, and
the shock absorbers were removed from the pickup truck. Due to the light
rear wheel load and stiff tires, the Volkswagen had an extremely low adhesion.
Despite the fact that the dampers were removed from the pickup truck, the
adhesion is considered "fair" according to EuSAMA specifications. The phase
angles, however, indicate that the damping is low (this remaining damping
is caused by internal leaf spring friction) on the pickup truck and high
on the Volkswagen.

Figure 20: Comparison of Volkswagen
Jetta and Ford Ranger
The side-to-side weight difference of an axle is used for
compensation during the side-to-side suspension adhesion balance evaluation.
The balance due to the variation of the sprung mass is calculated using an
equation that accounts for the sprung mass and other suspension components
of each wheel. A side-to-side adhesive imbalance over 10% is considered to
be marginal, and an adhesive balance over 15% is considered to fail. Excessive
side-to-side imbalance indicates that the dampers have uneven wear and should
be replaced as a pair.
Since all of the suspension data is acquired through the tires,
it is extremely important that the tires are properly inflated to the automobile
manufacturer's specifications (within 5% as specified by EuSAMA [1]). The
maximum pressure for maximum load that is printed on the tire sidewall (usually
35 to 45 p.s.i. for passenger cars) should not be used for the test, nor
should it be used for regular driving. The optimum tire pressure consists
of a compromise between adhesion (traction), ride harshness isolation, rolling
resistance, and tire life. The tire pressure can also differ for the front
and the rear wheels, depending on the vehicle design and load, and should
be recommended by the vehicle and tire manufacturers for different loads.
A stiffer tire requires a higher damping value at the wheel hop frequency.
SUMMARY AND CONCLUSIONS
The minimum adhesion relates to the safety of a vehicle at
a predefined road input and should be used for comparison. The phase angle
shows the damping characteristics of the suspension system and the relative
position of peak vertical acceleration of the wheel. Coupled with the adhesion
information, the phase angle can be used to calculate the absolute acceleration
or displacement of the wheel relative to the ground.
Ride stiffness is actually the stiffness of the vehicle ride
and can be used for comparison of the suspension systems. The ideal ride
stiffness is arbitrary since it varies according to individual preference.
Lower ride stiffness numbers indicate a smoother, softer, less responsive
ride. An indication of a very low ride stiffness may indicate weak dampers.
A very high ride stiffness may indicate that the dampers are too stiff. This
criterion can also be used to evaluate damper performance at lower
frequencies.
The ride harshness isolation is not used for the evaluation
of dampers. Rather, it can be used for evaluation of the friction in the
suspension system, lose or damage suspension components, road noise isolation,
tire stiffness and performance of the tire.
Some new vehicles show weak performances at wheel hop due to
inadequate damping in the suspension system at these frequencies, even though
they have adequate damping at lower frequencies. Some vehicles with
high phase angles did not show improved adhesions after the OEM dampers were
replaced with new after-market dampers. These vehicles, however, did have
better damping characteristics at lower frequencies. Both sprung and unsprung
mass resonant frequency should be considered during damper design. A greater
damping value in rebound compared to compression should be used at the sprung
mass resonant frequency to improve ride comfort. An equivalent damping value
for rebound and compression should be used at the wheel hop frequency to
improve vehicle handling.
The analytical results confirm the experimental results obtained
on the suspension tester. From the results of our study we can see small
differences between the analytical and experimental results. This difference
appears due to the reduction frequency (deceleration) of the suspension system,
suspension spring constant and tire stiffness, and the damping value that
is a function of frequency and displacement amplitude. The magnitude of the
deceleration is inversely proportional to frequency. Therefore, deceleration
has a greater effect on the test results at lower frequencies.
Adhesion alone is not adequate for the conclusive evaluation
of shock absorbers. The phase angle is a function of the damping value at
different frequencies and should be used for evaluation of the damper
performance. The “minimum adhesion” is more indicative of the performance of the vehicle. |