Air Springs & Suspensions Guide
Air Springs & Suspensions Guide
TABLE OF CONTENTS
PLEASE NOTE The information contained in this publication is intended to provide a general guide to the characteristics and applications of these products. The material, herein, was through engineering design and development, testing and actual applications and is believed to be reliable and accurate. However, Firestone makes no warranty, express or implied, of this information. Anyone making use of this material does so at his own risk and assumes all liability resulting from such use. It is suggested that competent professional assistance be employed for
1 Advantages
2 Terms Air Springs & Suspensions
3 Types Of Air Springs
develol0ed
specific applications.
23
Application Considerations
6 Basic Principles (Derivation of Formulas)
33
37
49 63
71
HISTORY
In the early 1930's, the Firestone Tire and Rubber Company began experiments to develop the potential of pneumatic springs. Between 1935 and 1939, several makes of U.S. automobiles were equipped with air springs and extensively tested to prove the potential of automotive air suspension systems. They were never put into production, however, because significant developments in steel spring design gave an improved ride at much lower cost than the air spring system at that time. In 1938, the country's largest manufacturer of motor coaches became interested in using air springs on a new design bus they were developing. Working with Firestone engineers, the first busses were tested in 1944 and the inherent ride superiority of air suspensions was clearly
documented.
In the early 1950's, after several years of intensive product development, the air sprung bus finally went into production. That was the beginning of the Airide(R) air spring success story. The success of air springs in bus applications spurred new interest in truck and trailer applications as well as industrial shock and vibration isolation uses. Consequently, almost all of the busses, most of the Class 8 trucks and many of the trailers on the road today now ride on air springs, and significant advances inthe design of control systems have opened the door to automotive applications as well.
perature, change with heat transfer to the air spring structure. To account for this, air spring dynamic operation is calculated by the use of what is known as the polytropic exponent (n). n 1.38 is the 9enerally accepted value for air springs.
Atmospheric Pressure. The average atmospheric air pressure measured at sea level. Normally accepted to be 14.7 pounds per square inch (psi).
Constant Volume With Airflow Process. Volume and temperature constant, pressure changes. This condition applies when load is added or removed from above the air spring over a period of time.
Gauge Pressure. Gas or liquid pressure in a vessel, which is higher than atmospheric pressure. Usually measured by a Bourdon tube gauge in pounds per square inch (psi).
Polytropic Process. All the calculation variables, volume, pressure, and tem-
Bumper. Usually, these are made of rubber, plastic, or rubber and fabric materials. They are used to support the vehicle when there is no air in the air springs, when the vehicle is not in use, or when there is a system failure on the road. They will also, to some degree, cushion the shock of very severe axle force inputs to prevent damage to both the Airide(R) spring assembly and to the vehicle.
Clamp Ring. A metal band placed near the end of a beadless flexible member. It is swaged tightly in place to secure the beadless flexible member to the upper end cap and piston.
Piston. A metal or plastic component of the air spring assembly usually placed at the lower end of the flexible member and used to both support and provide a surface for the flexible member to roll on. It also provides a means for attaching the assembly to the mounting surface. Pistons with tailored contours may be used to obtain air spring characteristics to meet special performance requirements.
Upper End Cap. A plastic or metal component containing an air entrance and a means of fastening or positioning the air spring assembly to the adjacent mounting surface. The air entrance may be combined with a mounting stud.
Flexible Member. The fabric-reinforced rubber component of the air spring assembly.
Lower End Closure. Usually a metal
cup-shaped component used to close off and seal the lower end of reversible sleeve type air springs. It is frequently molded to the flexible member. It generally has a blind nut which allows it to be secured to the piston and/or lower mounting surface by the use of a long bolt. Larger diameter end closures may have mtfltiple studs allowing them to be bolted directly to the piston.
Assembly. This includes the flexible member, which may include an end closure, upper bead plate, piston, or lower bead plate with an internal bumper. See illustration on page 11.
Assembly Volume. The internal working air volume, exclusive of any external working volume.
Compression Stroke (Jounce). The reduction in heioht from the normal desion heioht of the sprino as it cycles in dynamic operation.
Curb Load. The normal minimum static load the air spring is expected to support. It is a zero payload condition, but includes that portion of the unloaded vehicle that is supported by the axle. It is this axle load divided by the number of air springs working with the axle and adjusted according to any lever arm ratio incorporated in the suspension.
Dynamic Force. The instantaneous supporting force developed by the air spring during vehicle motion. It is this constantly changing force that creates the spring rate, suspension rate, and in combination with the normal vehicle load on the spring, creates the suspension system's natural frequency.
Effective Area. The actual working area perpendicular to the output force of the spring. It is not the diameter of the spring. This working area, when multiplied by the gauge pressure in the spring, produces the correct output force. Conversely, dividing the measured output force of the spring by the measured internal gauge pressure obtains the correct effective area. In many cases, this is the only practical way to obtain it. Extension Stroke (Rebound). The increase in height from the normal design height of the spring as it cycles in dynamic operation. Reservoir Volume. Any working air volume located externally from the air spring assembly, but functioning with the spring.
Design Load. This is the normal maximum static load the air spring suspension is expected to support. It is the rated axle load divided by the number of air springs working with the axle and adjusted according to any suspension lever arm ratio incorporated.
Design Height. The overall height of the air spring as selected from the characteristics chart design position range. The air spring selected should provide for adequate jounce and rebound travel for the proposed suspension. The design height would be the starting position for calculating the spring and suspension dynamic characteristics.
Sprung Mass Natural Frequency. The speed of vertical oscillations of the suspended vehicle sprung mass. Can be expressed in cycles per minute (cpm) or cycles per second (hertz). Sprung Mass (Weight). That part of the vehicle structure and cargo that is supported by the suspension.
Unsprung Mass. That part of the suspension that is not supported by the spring (e.g., trailing arm, axle & wheels, air spring, etc.).
OUTER COVER
(R)
Frst Ply. One ply of fabricreinforced rubber with the cords at a specific bias angle.
Second Ply. A second ply of fabricreinforced rubber with the same bias angle laid opposite that of the first ply.
Although the two-ply air spring is standard, many of our air springs are also available in fourJply rated construction for use at higher pressures. Each air spring's flexible member is identified by a style number, which is molded in during the curing (vulcanization) process. Examples would be 16, 22, 313, 1T15M-6, etc. Ths identfies only the
rubber/fabric flexible member.., not the
complete assembly.
10
Combination Stud. Combination UNF mounting stud with NPT internal air entrance.
3/4"-16
steel, plated Permanently crimped to the flexible member to form an airtight assembly which allows for leak testing before the unit leaves the factory.
B approximately
system.
Flexible Member. Wall gauge is .25 inches. See page 9 for detailed information.
Bumper (Optional). An internal device to prevent damage to the air spring during times when no air is in the
SERVICE ASSEMBLY
On Firestone's reversible sleeve style Airide (R) air springs, the flexible member, with cured-in end closure and bead plate, is a separate sealed unit. This unit is called a Service Assembly, and may be purchased without the piston as an economical replacement for existing air springs in truck and trailer suspensions.
composites. The threaded holes in the piston are used to secure the assembly to the mounting surface.
Piston Bolt. Attaches the piston to the flexible member end closure. For mounting, a long bolt may be used coming up through the mounting surface and attaching to the end closure. Or, a short bolt may be used to attach the piston to the end closure.
NOTE: There are several different mounting options available for most air springs. Therefore, always specify both the style number and the complete Assembly Order Number (AON). For example, T15M-6, Assembly Order Number W01-358-9082. Both numbers are published on the Product Data Sheets for individual air springs.
12
page
Bumper (Optional). An internal device to prevent damage to the air spring during times when no air is in the system.
Flush Air Inlet. 1/4" NPT is standard. 3/4" NPT is also available for most parts.
|3
Blind Nut. 3/8"-16 UNC thread x 5/8" deep (two or four per plate, depending upon the part size). Used for mounting the part.
D stranded
Girdle Hoop. A solid steel ring or wire ring cured to the flexible member between the convolutions.
NOTE: There are several different mounting options available for most air springs. Therefore, always specify both the style number and the complete Assembly Order Number (AON). For example, Style #22, Assembly Order Number W01-358-7410. Both numbers are published on the Product Data Sheets for individual air springs.
14
The larger convoluted parts are available with bead rings or permanently attached plates called, "rolled plates." Rolled plate assemblies may offer an advantage over the bead ring parts because installation is much easier (they attach the same way as the bead plate parts). When installing the rolled plate parts, a backup plate as large in diameter as the bead plate must be used. This plate should be a minimum of 1/2" thick. The blind nut and air entrance locations of rolled plate assemblies are available from Firestone.
Ar
l
deep is standard.
Plate. 6-gauge (. 194') for corrosion resiscarbon steel, tance. Permanently attached to the flexible member with a clamp ring (D) to form an airtight assembly. Allows for leak testing before the assembly leaves the factory.
Clamp Ring. This ring is crimped to the bead plate to permanently attach it to the flexible member. It is also plated for rust protection.
Girdle Hoop. Solid steel type cured to the flexible member between the convolutions
Fllexible Member. Wall gauge is approximately .25 inches (see page 9 for construction).
Lower Bead Plate. Usually the same as the upper bead plate, except without the air inlet.
16
Mounting Plate. Not included. See page 21 for material, machining recommendations and installation instructions.
Bead Ring Bolt. May be one of four varieties included with air spring assemblies. See chart on page 21.
17
Nuts &
D Girdle Hoop. Wire wound type shown, molded into the flexible member.
Bead Rng. Steel countersunk type shown. May also be of
a second stamped steel variety or made of aluminum (see page 2:l).
The flexible member is available separately as a replacement on convoluted bead ring assembfies.
be one of four varieties included with the air spring assembly (see chart on page 21).
End Closure. This is made of steel and is permanently molded into the flexible member (except for the 1T19 style air spring).
'
composites. The threaded holes in the piston are used to secure the assembly to the mounting surface.
May be of a second stamped steel variety or made of aluminum. (See page 21).
The flexible member with cured-in end closure is available separately as a replacement.
20
J
Length
Use
1/4"
Cap
Screws
cluded)
Custom_er
Supplies
Supplies
Pate
r-
Length
Plate
(il/4)
Standard Effective Length (in) Standard Effective Length (in) Standard Effective Length (in) Optional Effective Length (in) (.66) 1.28 1.22 1,28 Standard Order Number (bolt only) W01-358-3607 Thread %6-24UNF
Standard Order Number (bolt only) W01-358-3625 Standard Order Number (bolt only) W01-358-3620
(W01-358-3618)
Thread %-24 UNF
Thread %6-24UNF
Thread %-24UNF
Tightening Torque (ft-lb) 28 to 32
mounting plates depends upon the application. The plates must be strong enough and backed by structural members to prevent bowing of the plates when subjected to the forces or loads involved. The flexible member provides its own seal, so "O" rings or other sealants are not required.
iNSTALLATION
3
Follow this technique for assembling a bead ring style flexible member to the mounting plate: Make certain that the flexible member bead is properly seated under the bead ring. Please note that uniform successive tightening of the nuts is important to seat the rubber bead properly to the mounting plate around its full circumference.
Insert the bolts into the bead ring, which has already been attached to the flexible member.
2
Slip all of the bolts, which protrude through the bead ring, into the mating holes of the mounting plate and attach the lock washers and nuts. Finger tighten all nuts to produce a uniform gap between the bead ring and mounting plate all the way around. The bolts will be pulled into place by the action of tightening the nuts. When using aluminum bead rings, it may be necessary to lightly tap the ribbed neck bolts with a small hammer to engage the splined portion into the bead ring.
4
Tighten all nuts one turn each, moving around the circle until continuous contact is made between the bead ring and mounting plate.
5 Torque all nuts to the torque specifications shown in the chart on the previous page, going at least two complete turns around the bolt circle.
1T15M-11
Alignment: the relationship of the bead plate mounting to the piston mounting.
D Maximum psig
100
"B" dimension. The distance from the mounting surface to the rubber loop at 100 psig.
STATIC DATA
Recommended Design Position Stalic Pressure 10-100 Psig
The Maximum Rebound Height is the maximum extended position of the air spring before the flexible member is put in tension. Some means of preventing the suspension extending the air spring past this height must be provided to prevent damage to the air spring. Shock absorbers are typically used, however chains, straps, and positive stops may also be used.
The Volume Curve is a plot of the data points obtained by measuring the volume of exhausted liquid as the part is compressed from maximum to minimum height while maintaining a regulated pressure of 100 psig in the air spring. (This is the volume without a bumper). The Shaded Area (24" to 28") on the left side of the chart is a range of heights in which the air spring is not normally used except during unloading as the axle goes in rebound. Do not use in ths range of heights for applying a force. The number, B-0689, is the Test
Height
B-Dim
(In)
(Lbs)
(Cu In)
(In)
Pressure
Height(In)
(Lbs)
(Psig)
APPLICATION CONSIDERATIONS
Obtaining the maximum performance and life from Airide(R) air springs requires proper application.
with the centers of both bead plates aligned. The bead plates can be angled so that a good relationship between compression and extension travel can be achieved with appropriate bumper contact. The maximum extended height should never be exceeded. Under normal conditions, the included angle between the bead plates should not be greater than 20 however with Firestone's approval, angles of up to 30 may be acceptable on some models.
AIR SPRIHGS)
To achieve the maximum lifting force, and produce a minimum of horizontal forces, convoluted air springs should be positioned at the normal design height
Reversible sleeve air springs incorporating internal bumpers should have the bead plate and piston parallel within 3 to 5 at bumper contact height. Normally, the piston is angled at the design position so that a good relationship between compressed and extended travel can be achieved. Reversible sleeve air springs which do not have an internal bumper may have the piston angled to allow full compression stroke without the flexible member being pinched between the piston and the bead plate.
Flexible member
must
not
against
rub itself
Reversible sleeve type air springs may stroke through an arc, but care must be taken to prevent the flexible member from rubbing internally against itself where it rolls over the piston.
Plastic pistons should normally be fully supported over the entire base surface. Exceptions should be reviewed by
Frestone.
Metal pistons used with 1T15 size or smaller assemblies may be mounted on a flat beam surface at least three inches wide which extends the full diameter of the piston base. Bead plates should be supported by a back-up plate the size of the bead plate. Under certain circumstances, the bead plate may be supported by a minimum three-inch wide beam. These mountings should also be reviewed by Firestone. If a single long fastening bolt is used to clamp the air spring end closure and the piston to the trailing arm, it should be grade 5 or above, and tightened according to the appropriate value shown in the chart on page 35. If the piston is tipped more than 5 degrees, some means should be provided to locate the piston.
34
OPERATIONAl. CAUTIONS
Air spring failure can be caused by a variety of situations, including internal or external rubbing, excessive heat and overextension. For further details, refer to Section 9, Warranty Considerations. Bead plates are normally fully supported, however, mounting the bead plate directly to the frame raft, or other mounting surface with less than full support, may be possible.
Size
5/16-24
Torque
(Ib-ft)
17-22
28-32
15-20
3/8-24
3/8-16
3/8-16
1/2-13
1/2-13 or 1/2-20
1/2-13
The normal ambient operating temperature range for standard vehicular air springs is -65F to +135F.
UMPERS
3/4-16
1/4
40-45
& up
17-22
45-50
3/4-10
In general, bumpers are used to support the vehicle weight to prevent damage to the flexible member during times when no air is in the system. They are also used as stops when the axle is raised by a lift unit. In applications that require frequent bumper contact, consult Firestone.
35
Nurnr
3073 3136 3147 3155 3157 3159 3162 3209 3285 3294 3350 3386 3404 3604 3691 3777 4457 4518 4519 4964 7725
48.5 8.8 28.5 70.3 93.0 41.0 40.4 65.3 43.4 33.9 19.7 9.4 34.6 37.7 11.3 31.0 48.0 22.1 28.2 1.6 32.2
bumper applications
36
BASIC PRINCIPLES
iNTRODUCTION
The fundamental concept of an air spring is a mass of air under pressure in a vessel arranged so that the pressure exerts a force. The amount of static force developed by the air spring is dependent on the internal pressure and the size and configuration of the vessel. The vessel is defined in this manual as the Airide(R) spring by Firestone or air spring. Dynamic force is the result of internal pressure changes and air spring effective area changes as height decreases (compresses) or increases (extends). The amount of pressure change for a stroke depends on volume change compared to total volume at equilibrium position. For the convoluted type, effective area change for a stroke depends on where in the total travel range the motion takes place. For the reversible sleeve type, the shape of the piston, size of the piston related to the flexible member diameter, and cord angle built into the flexible member all have an influence on effective area. The effective area can be arrived at by taking the longitudinal static force developed at a specified assembly height and dividing this force by the internal pressure (psig) existing in the air spring at that height. This method is used to develop the static effective areas used in dynamic rate and frequency calculations.
EFFECTIVE AREA
Effective area is the load carrying area of the air spring. Its diameter is determined by the distance between the centers of the radius of curvature of the air spring loop. The loop always approximates a circle because the internal air pressure is acting uniformly in all directions, so that only the area inside the centers is vertically effective. For a convoluted air spring, the effective area increases in compression and decreases on extension. For a reversible sleeve air spring, the effective area is constant while operating on the straight side of the piston, increases when working on the flare of the piston in compression, and decreases when the rubber part lifts off the piston in extension. When a vehicle having air springs in its suspension is at rest, and then load is added or removed, the height control valve operates to add or remove sufficient air in the air spring to maintain the set air spring overall height. This then increases or decreases the pressure in the air spring the amount needed to provide the required lifting force to match the current downward force created by the new load condition, and equilibrium is again reached.
"
+
EFFECTIVE DIAMETER
EFFECTIVE DIAMETER
EFFECTIVE DIAMETER
Convoluted
Air Spring
Change in
Effective Diameter
..
Effective area
Load
38
SPECIAL
CNANG|S
SAT|
Non-flow process, specific heats assumed constant. Subscripts 1 and 2 refer to the initial and final states, respectively.
P P
V V
This requires very slow movements not normally applicable to air spring operation.
P T V
This is an unattainable process due to the nature of the flexible member, however, at static conditions, the change in pressure may be calculated for a change in temperature.
This is defined as a process with no heat transferred to or from the working fluid. This is a theoretical process not attainable with pneumatic springs, however, for rapid deflections, it is closely approached, k=1.404 for air.
39
Polytropic
PV n- Constant
This process usually represents actual expansion and compression curves for pressures up to a few hundred pounds. By giving "n" different values and assuming specific heats constant, the preceding changes may be made special cases of the polytropic change. Thus for:
and
T2
(VI/n-1 -)
(n-1)
P)
n nn-n-
I, PV Const. (Isothermal) k, pvk= Const. (Isentropic) Const. (Constant Pressure) 0, P Const. (Constant Volume) 0% V
The principal formulas for air compression up to a few hundred pounds pressure where lnk are:
During air spring dynamic operation, the pressure, volume and temperature change instantaneously. The air spring flexible member structure also changes depending upon the specific configuration. As a result, air springs operate in the range lnk, however, a generally acceptable value for "n" is 1.38 for normal vehicle operation.
are
U
E
"5
L Po (A) L Po (AD
Pg Pge
Gauge Pressure at L Gauge Pressure at Le
Effective area at Lc Effective area at Le
Where:
: Lc
o
A Ae
ALe
k
e
',- Ah e- Ah c-'
Deflection
setting Ahc
Ahe- .5 inch
Extension Compression
U
D
K- Po(A)- Poe(Ae)
Rate is the slope of the tangent at the equilibrium position. For small increments of deflection, rate equals the load change per unit deflection. (The slope of the chord line through Lc and Le is parallel to the tangent at L for small deflections.)
Where:
K U Where:
K
!i
L Le
Ahc Ahe
41
Where:
Pal
V V V
substituting
in
Pge
PalkTT
Il
K
-14.7
now substitute
in
Pgc(Ac)- Pe(Ae)
Then, grouping terms, this becomes the general rate formula for air springs.
.38
Ae/TTe
14.7(A Ae)
ATURAE.
REQU|NCY
Where-
W- Weight, pounds
Since the air spring has a variable rate and essentially a constant frequency, it is helpful to calculate the natural frequency when evaluating characteristics. When considering a single-degree-offreedom system (undamped), the classical definition of frequency s as follows:
Note: The period of free vibration (which is the reciprocal of frequency,) is the same as the period of a mathematical pendulum, tle length of which is equal to the static deflection of the spring under the action of load W.
f_
Substituting:
cpm
co 2
ands02= K
cpm
This is normally rounded to.
Where: Frequency, cycles per second f Circular frequency, c0 radians per second K Rate, pounds per inch m- Mass, pound seconds per inch
Then:
Where.
Also.
W
g
W K
de (effective deflection)
cpm
188 =
43
Effective deflection (dE) has no physical significance, however, has mathematical meaning. It is defined as load divided by rate and is graphically explained below.
Variable Rate Spring
vs. the spring located fore or aft of the wheel. Note the distance to the spring is always 'A" whether located forward or aft of the axle.
Schematic representation of a trailing arm suspension:
Wheel
1111///I//
Tangent
Spring
ZZ4/l/ll//
Lw
Ls
Deflection
de
Load
Where:
A B
And:
I Ls
Zs
Rate at spring
Load at spring Deflection at spring
L
Zw
T| R|IT|ONSH|P
Solving for Lw
LA- LwB
LW
Lw
LAR
Also.
Kw
Load
Rate x de
So.
FREQUENCY
R|T|ONSH|P
Solving for Kw
Lw
And:
cpm
D
D
L KZ
fw 188
cpm
substitutingU in D
from the natural frequency derivation where f Frequency at spring fw Frequency at wheel Also: LsA- LwB from
Solving for Ls
now using
Kw-Ks
and substitute in
from
L
now substitute fs from
Or':
fw fs(LAR)
So"
F'ecen,
w- F,'equen t in x LA/
/
,46
K Pal Ac
Ae
"J[4
7(Ac Ae)
Natural Frequency
LAR_Distancetospring_A
Rate
at wheel
Frequency at wheel
48
CA[.CUET|NG DYNAH|C
AND :REQUENCY
The dynamic rate of an air spring over a plus and minus 1/ inch stroke is calculated using Formula 8 on page 42, substituting values as follows:
For example, find the air spring rate of the 1T15M-11, W01-358-9320 at an 18 inch design height and a load of 7000 pounds. See the Product Data Sheet for the necessary information.
The effective area on the 100 psig curve is calculated:
Where.
Rate (lb/in)
Absolute pressure (psia) at design position Gauge pressure (psig) at design position plus 14.7- Pgl / 14.7
Effective area (ins) at design position Load (lb) / Pressure (lb/in s)
Pal-
A1-
Load
7146
100
Pressure
71.46 in
Ac AeV1
Effective area (in s) at 1/ff inch below design position Load (lb) / Pressure (lb/in s) Effective area (in s) at / inch above design position Load (lb) / Pressure (lb/in s)
A 7146 100 A
7146 100
71.46 in
71.46 in
Vc
7000 71.46
97.96 psig
Ve
49
K-Pal Ac
c -Ae)
1170.2
-71.46
1244.46
677
lb/in
f-188K-1881677
W
f- 58.5 cpm
7000
Note: These are the same values shown in the Dynamic Characteristics Chart on the Product Data Sheet at 18 inches and 7000 pounds.
50
The curves on the Dynamic Load vs. Deflection Chart (Section 4) can be calculated using the formulas developed in Section 6. It is helpful to construct a table of values as shown below.
Static
Height
(in)
Load
(lb)
Absolute
Pressure (psia)
Pressure (psig)
Gauge
Dynamic
Load
OrS
(Ib)
Line
21
Line Line
"15
The 1T15M-11 on an M-9 piston is used for this example (W01-358-9320). Refer to that Product Data Sheet.
Conditions selected: 4000 lb Air spring load 18 inches Design height
Line
Line
Line
U D D
Find:
Note: For loads between constant pressure curves, calculate the effective area By using the load on the closest constant pressure curve. Then calculate the pressure By dividing the design load By the effective area.
Line
Static Load, This value is obtained on the closest constant pressure curve, 60 psig in this case, at the 18 inch design height. Refer to the Static Load Deflection Curve.
L- 4200
Volume, This value is taken from the 100 psig Data Table at 18 inch height
V1
1207.89 cu in
Load
Pressure
4200 60
70 in
L A
4000 70
57.14 psig
57.14 + 14.7
71.84 psia
4000 lb.
(3 inch compression):
Static Load, From the 60 psig constant pressure curve and 15 inch design height. L- 4200 lb
Volume, From the 100 psig Data Table at 15 inch height. V2 981.62 cu in
Effective Area, At 60 psig and 15 inch height. 4200 Load 70 in A2 60 Pressure
P2-PI
-71.84
9-B-
P2
95.65 psia
P, Pa
14.7
95.65
14.7
80.94 psig
DL2 L
5666 4000
1.42
(3 inch extension):
Static Load, From the 60 psig constant pressure curve and 21 inch design height.
L- 4000 lb
Volume, From the 100 psig Data Table and 21 inch height.
V:- 1419.72 cu in
Effective Area, At 60 psig and 21 inch height.
A3
Load
Pressure
4000 60
66.67
P,
(Vl/n
z-:-.
V3
71.84
1207"89 1419.72
138
57.48 psia
P. P- 14.7
DL
57.48- 14.7
42.78 psig
P., x A,
42.78 x 70
2852 lb
DL
L
2852 4000
.71
A plot of the dynamic load points vs. height will give the curve shown on the Product Data Sheet, Dynamic Load vs. Deflection Chart with a starting point of 18 inch height and 60 psig.
The completed table of values is shown below.
Static
Height
(in)
Load (Ib)
Absolute Pressure
(psia)
Gauge
Pressure (psig)
Dynamic
Load (Ib)
a's
Line
Line Line
21
4000
1419.72
66.67
70
42.78
2852 4000
5666
D 18
Q
15
4200 4200
1207.89 981.62
57.14 80.94
70
55
The trailing arm design is a common truck and trailer air suspension. The air spring does not carry the same load that is applied at the wheel (axle). The formulas developed in Section 6 are used. One method of obtaining a trial suspension design follows for a 20,000 lb axle, using a 1T15M-6 reversible sleeve air spring at 13 inch height. Determine the necessary trailing arm ratio needed to support the axle design load within the air spring maximum allowed static pressure of 100 psig which creates a lifting force of 7,045 lb at a 13 inch height. See Product Data Sheet (W01-358-9082).
FRAME
WHEEL
(20,000- 800) + 2
9600 lb.
LAR
Lw Ls
9600 7045
LAR
at 90 psig
Note, the 6340 lb at 90 psig is calculated by multiplying the pressure ratio times the load at 100 psig, or:
90 --x 7045- 6340 lb 100
56
Now using the maximum OD of the M-6, 12.6 inches, and an assumed axle diameter of 5 inches plus a minimum clearance of one inch, calculate the dimension "C" shown in the illustration on page 56:
C
(1/2 x OD air spring / 1/2 x axle diameter)
--//
clearance
/1-9.8inch
Calculating dimension "C" in this manner places the air spring as close to the axle as possible, which provides-the lowest rate and frequency at the wheel (with the air spring aft of the axle).
Now calculate dimensions "A" and "B" with LAR- 1.52 and C -9.8.
LAR-A-1.52-B/C-B/9"8 B B B
1.52B- B- 9.8
9.8 .52
18.85 inch
Then determine A.
A- B / C
18.85
Note that with a given "B" dimension (e.g., 21 inches) determined by other
factors, proceed as follows:
LAR 1.52
A B
1.52 x 21 31.9
A- 1.52 B
A- B- 31.9- 21
9600 lb 6340 lb
LAR- 1.52
Distance from pivot to spring
28.65 inch
Design height
13 inch
58
The system characteristics may now be calculated using the preceding results with data from the Product Data Sheet 1T15M-6 (W01-358-9082).
7045 100
7O5O IO0
Ae
7042 100
Va
917.41 cu in (at 13 inch height) 879.31 cu in (at 12.5 inch height) 955.30 cu in (at 13.5 inch height)
Vc
Ve
Ks
Ks
854.35
1.176
853.2 lb/in
fs-188K--5-W 18 1853"26340
68.97 cpm
6O
Wheel Rate:
K,,, K, (LAR)
853.2 (1.52)2= 1971 lb/in
Wheel Frequency:
f,, f, (LAR) /e
68.97 (1.52)
/e
85 cpm
Other factors that must be considered include, but are not limited to: Maximum extension Minimum height Stroke at the axle
(R) (R) (R)
61
Carmel,
NSTRUCTONS
In this example you will calculate the static rate and frequency of the ITI5M-11
(W01-358-9320) reversible sleeve style air spring on an M-9 piston at an 18 inch design height.
(ib)
(psig)
(lb/in)
disk provided. the file with a new name (for example MIDH18) on a separate data disk.
*Lotus 1-2-3 is
63
D Enter(cu
volumes
(R) (R) (R)
A1 is the effective area at the design height. Ac is the effective area at 1/2 inch below design height. Ae s the effective area at 1/2 nch above design height. VI s the internal volume at the design height. Vc is the volume at I/2 nch below the design height. Ve is the volume at 1/2 nch above the design height. Note: All entries are values. If a bumper is used, subtract the bumper volume from V1, Vc, and Ve. Refer to the Bumper Volume Chart on page 36.
(R) (R) (R)
Save the File with the new file name selected in Step 2.
64
NSTRUCTIONS
piston
In this example you will calculate the wheel frequency of the 1T15M-11 (W01-358-9320) reversible sleeve style air spring on an M-9 piston at an 18 inch design position.
(ib)
(psig)
(ib/in)
spring
*Lotus B spreadsheet.
Load
D Enter
(Sample File WHFRQSPL.WK1)
the information:
*Lotus 1-2-3 is
65
in) and volumes in): (R) A1 is the effective area at the design height. (R) Ac is the effective area at 1/2 inch below the design height. (R) Ae is the effective area at 1/2 inch above the design height. (R) V1 is the internal volume at the design height. (R) Vc is the volume at 1/2 inch below the design height. (R) Ve is the volume at 1/2 inch above the design height.
Enter the suspension dimensions. Dimension A is the distance from the pivot to the spring center line. Dimension B is the distance from the pivot to the axle center line.
Note: All entries are values. If a bum]aer is used, subtract the bumper volume from V1, Vc, and Ve. Refer to the Bumper Volume Chart on page 36.
Enter four air spring loads that might be of interest to you. The air spring pressure, rate, and frequency are automatically calculated for the loads you selected.
66
INSTRUCTIONS
piston
Height
(in)
in)
in)
(psia)
(psig)
dynamic load for the 1T15M-11 358-9320) reversible sleeve style air spring on an M-9 piston at an 18 inch design position and a load of
design
spreadsheet.
from the disk provided. Save the file with a new name (for example, on a separate data disk.
*Lotus 1-2-3 is
67
each height, enter the load from the constant pressure curve closest to the design load. Take this information from the Product Data Sheet. In this example, the design load selected was that at 100 psig. In general, volume data is available only at 100 psig, and is used for all loads. Enter the volume data from the 100 psig static data chart on the Product Data Sheet at each height. Subtract the bumper volume if applicable.
At
Save the file with the new file name selected in Step 2.
A dynamic load vs. height plot will give the results of the Dynamic Load vs. Deflection Chart on the 1T15M-11 Data Sheet, part number 9320.
68
DYNAMIC LOAD
INSTRUCTIONS
piston Design Height Design
Height
(in)
in)
(psia)
(psig)
(ib)
-2.0
dynamic load for the 1T15M-11 (WO1358-9320) reversible sleeve style air spring on an M-9 piston at an 18 inch design position and a load of 4,000 lb.
design
or file compatible
the file with from the disk provided. a new name (for example, M11DYN2) on a separate data disk.
*Lotus 1-2-3 is
69
D At
each height, enter the load from the constant pressure curve closest to the design load. Take this information from the Product Data Sheet. In this example, the design load of 4,000 lb is closest to the 60 psig curve. In general, volume data is available only at 100 psig and is used for all loads. Enter the volume data from the 100 psig static data chart on the Product Data Sheet at each height. Subtract the bumper volume if applicable.
Save the file with the new file name selected in Step 2.
A dynamic load vs height plot will give the results of the Dynamic Load vs. Deflection Chart on the 1T15M-11 Data Sheet, part number 9320.
70
WARRANTY CONSIDERATIONS
iNTRODUCTiON
Firestone air springs are designed to provide years and thousands of miles of trouble-free service. The durability of Firestone air springs is such that they will often outlast other maintenance items on your suspension, such as bushings, shocks, leveling valves or regulators. Airide (R) springs by Firestone are *warranted to be free of material defects and/or workmanship for various periods of time, depending upon the application. Replacements may be provided by the original suspension manufacturer, manufacturer's representative or dealer, or by any Firestone air spring distributor. All labor and incidental costs associated with replacing the defective air spring are the responsibility of the purchaser, or end user. Firestone Industrial Products Company offers a complete line of Airide springs, with replacement springs available for virtually every vehicular air suspension system.
Since each individual air spring is closely examined and pressure tested at the factory, the vast majority of premature failures and consequent warranty returns are found not to be defective, but fail because of abuse caused by other problems associated wth the suspension. Before you nstall a new ar sprng, you should carefully examine the old one to determine what caused t to fail. if t was due to a defect in the suspension system,, then the new air sprng will also fail unless you correct the problem. The information that follows was developed to illustrate the types of failures that may occur, and to assist you in determining the cause and corrective action required.
71
Most air spring failures are caused by a lack of suspension maintenance or improper application. This is a guide to common failures that are not covered by warranty.
Appearance Or Condition
Off-center bumper contact
Possible Causes
Worn bushing
Improper installation
72
Appearance Or Condition
Flexible member distorted and girdle hoop torn loose
Possible Causes
Running at extended positions with low air pressure
73
BOTTOMING OUT
Appearance or Condition
Bead plate concave Internal bumper loose
Possible Causes
Broken or defective shock absorber
Defective leveling valve
Hole in girdle hoop area (convoluted) Hole in bead plate junction area
Leaking around blind nuts
Overloaded vehicle
74
Appearance Or Condition
Hole rubbed into side of flexible member Hole in flexible member area that rolls over piston (reversible sleeve style air springs)
Possible Causes
Structural interference such as: broken shock misalignment loose air line worn bushings
75
CiRCUMFERENTiAL CUTS
Appearance Or Condition
Flexible member cut in circle at bead plate
Possible Causes
High pressure, fully extended for long periods of time
junction
Flexible member cut in circle at piston junction (reversible sleeve style)
76
OVER-EXTENSION
Appearance Or Condition
Bead plate convex, especially around blind nuts or studs
Flexible member separated from bead plate
Possible Causes
Broken or wrong shock absorber
Defective leveling valve Ride position too high
77
WARNING: Never attempt to service an air suspension with the air springs inflated.
Leveling valves (or height control valves) play a large part in ensuring that the total air spring system works as required. Clean, inspect and replace, if necessary.
7
Make sure you have the proper shock absorbers and check for leaking hydraulic oil and worn or broken end connectors. If a broken shock is found, replace it immediately. The shock absorber will normally limit the rebound of an air spring and keep it from overextending.
3
Check to see that there is sufficient clearance around the complete circumference of the air spring while it is at its maximum diameter.
8
Check the tightness of all mounting hardware (nuts and bolts). If loose, re-torque to the manufacturer's specifications. Do not over-tighten.
78
CLEANING
APPROVED METHODS
Approved cleaning media are soap and water, methyl alcohol, ethyl alcohol and isopropyl alcohol.
NON-APPROVED METHODS
Non-approved cleaning media include all organic solvents, open flames, abrasives and direct pressurized steam
cleaning.
PLEASE NOTE: The total inspection process of the air springs on your vehicle can be performed in a matter of minutes. If any of the conditions described on the previous page exists, please take corrective action to ensure that your air springs will perform properly. It will save you both time and money in the long run.
79
80
SUGGESTED READING
SAE Information Report, First Edition, June 1988, SAE HS 1576, Manual for Incorporating Pneumatic Springs in Vehicle Suspension Designs (Warrendale, PA: Society of Automotive Engineers, Inc., 1988).
Thomas D. Gillespie, Fundamentals of Vehicle Dynamics (Warrendale, PA: Society of Automotive Engineers, Inc., 1992).
Robert K. Vierck, Vibration Analysis, 2nd ed. (New York: Harper & Row, 1979).
HISTORY
In the early 1930's, the Firestone Tire and Rubber Company began experiments to develop the potential of pneumatic springs. Between 1935 and 1939, several makes of U.S. automobiles were equipped with air springs and extensively tested to prove the potential of automotive air suspension systems. They were never put into production, however, because significant developments in steel spring design gave an improved ride at much lower cost than the ar spring system at that time. In 1938, the country's largest manufacturer of motor coaches became interested in using air springs on a new design bus they were developing. Working with Firestone engineers, the first busses were tested in 1944 and the inherent ride superiority of air suspensions was clearly documented.
In the early 1950"s, after several years of intensive product development, the air sprung bus finally went into production. That was the beginning of the Airide(R) air spring success story. The success of air springs in bus applcations spurred new interest n truck and trailer applications as well as ndustral shock and vbrafion solaton uses. Consequently, almost all of the busses, most of the Class 8 trucks and many of the trailers on the road today now rde on ar springs, and sgnficant advances n the design of control systems have opened the door to automotive applications as well.