Brake system with adjustably variable front/rear axle braking force distribution
First Claim
1. A brake system with variable braking force distribution between front and rear axles of a high speed vehicle in which downward aerodynamic forces on the vehicle cause an increase in axle loads as vehicle speed increases, wherein the increase in axle load is greater at the rear axle than at the front axle, comprising front wheel brakes, rear wheel brakes, a brake unit actuatable by a brake pedal and configured to generate at least a brake pressure in the front wheel brakes and operatively associated with the front wheel brakes and the rear wheel brakes that in the event of a specified defined limiting value of an actuation force exerted by a driver of the high speed vehicle, the vehicle has a magnitude of deceleration corresponding to complete utilization of frictional force on the braked vehicle wheels, and a separate pressure source comprising a braking force control device and providing a settable outlet pressure operatively associated between the brake unit and the rear wheel brakes so as to be directly connected as brake pressure into piston pairs of brake calipers of the rear wheel brakes, the source comprising an electronic control unit operatively configured to process at least one signal representative of the vehicle speed and one at least adjustably specifiable magnitude of a friction coefficient present at the vehicle wheels or assumed to be present and set, and to continuously form a value of an optimized braking force distribution factor in accordance with the following linear relationship
in which k1, k2 and k3 are vehicle-specific constants determined from linear interpolation of the manner in which DBom depends on v and μ
μ
.sub.B +k.sub.3 ·
v
B, where DBom is determined in accordance with the following relationship ##EQU20## for different values of an optimized rear axle braking force proportion, φ
om which has different values determined from a numerical evaluation of the following relationship ##EQU21## wherein ψ
represents the rear axle load proportion,χ
represents the height of the vehicle center of gravity in relation to the wheel base,Ka,v represents the aerodynamic upward or downward force coefficient at the front axle,Ka,h represents the aerodynamic upward or downward force coefficient at the rear axle,μ
B represents the coefficient of friction, andGg represents the vehicle weight, and a sensor device operatively arranged between the brake unit and the pressure source such that, during a braking operation, a signal characteristic of an instantaneous value of front axle braking force, FBV, is generated, wherein the controllable pressure source is operatively arranged to cause rear axle braking force, FBH, to follow up the front axle braking force, FBv, in accordance with the following relationship
space="preserve" listing-type="equation">F.sub.BH =DB.sub.om ·
F.sub.BV.
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0 Petitions
Accused Products
Abstract
A brake system has a variable front/rear axle braking force distribution for a racing car. An electrohydraulic braking force control device with an electronic computer stage is provided in the system to take account of the aerodynamic axle load changes occurring at high speeds. This computer stage forms, from the vehicle speed and dynamically determined magnitudes, or magnitudes assumed to be appropriate, of the coefficient of friction μB effective at the vehicle wheels, an optimized braking force distribution factor. The brake pressure connected into the rear wheel brakes is caused to follow up the brake pressure connected into the front wheel brakes in such a way that the rear axle braking force follows the front axle braking force.
21 Citations
18 Claims
- 1. A brake system with variable braking force distribution between front and rear axles of a high speed vehicle in which downward aerodynamic forces on the vehicle cause an increase in axle loads as vehicle speed increases, wherein the increase in axle load is greater at the rear axle than at the front axle, comprising front wheel brakes, rear wheel brakes, a brake unit actuatable by a brake pedal and configured to generate at least a brake pressure in the front wheel brakes and operatively associated with the front wheel brakes and the rear wheel brakes that in the event of a specified defined limiting value of an actuation force exerted by a driver of the high speed vehicle, the vehicle has a magnitude of deceleration corresponding to complete utilization of frictional force on the braked vehicle wheels, and a separate pressure source comprising a braking force control device and providing a settable outlet pressure operatively associated between the brake unit and the rear wheel brakes so as to be directly connected as brake pressure into piston pairs of brake calipers of the rear wheel brakes, the source comprising an electronic control unit operatively configured to process at least one signal representative of the vehicle speed and one at least adjustably specifiable magnitude of a friction coefficient present at the vehicle wheels or assumed to be present and set, and to continuously form a value of an optimized braking force distribution factor in accordance with the following linear relationship
- space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
μ
.sub.B +k.sub.3 ·
v
in which k1, k2 and k3 are vehicle-specific constants determined from linear interpolation of the manner in which DBom depends on v and μ
B, where DBom is determined in accordance with the following relationship ##EQU20## for different values of an optimized rear axle braking force proportion, φ
om which has different values determined from a numerical evaluation of the following relationship ##EQU21## wherein ψ
represents the rear axle load proportion,χ
represents the height of the vehicle center of gravity in relation to the wheel base,Ka,v represents the aerodynamic upward or downward force coefficient at the front axle, Ka,h represents the aerodynamic upward or downward force coefficient at the rear axle, μ
B represents the coefficient of friction, andGg represents the vehicle weight, and a sensor device operatively arranged between the brake unit and the pressure source such that, during a braking operation, a signal characteristic of an instantaneous value of front axle braking force, FBV, is generated, wherein the controllable pressure source is operatively arranged to cause rear axle braking force, FBH, to follow up the front axle braking force, FBv, in accordance with the following relationship
space="preserve" listing-type="equation">F.sub.BH =DB.sub.om ·
F.sub.BV.- View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
- 3. The brake system according to claim 2, wherein the brake unit comprises a tandem main cylinder with an outlet pressure space associated with the front wheel brakes and an outlet pressure space associated with the rear wheel brakes, the rear wheel brakes have four-piston calipers of one configuration, each with two piston pairs of one or different configuration, the piston pairs of one brake caliper being connected together with one identically dimensioned piston pair of the other brake caliper via a respective common brake conduit, one brake conduit being connected to a brake unit pressure outlet, associated with the rear wheel brakes and another brake conduit being connected to a pressure outlet of the controllable pressure source.
- 4. The brake system according to claim 3, wherein the brake unit and cross-section of cylinders of the wheel brakes are configured to fixedly match for stable dynamic vehicle braking behavior over a braking range from partial braking range to full braking range.
- 5. The brake system according to claim 1, wherein the outlet pressure of the controllable pressure source is set by controlling rotational speed of an electric drive motor of a high-pressure pump.
- 6. The brake system according to claim 1, wherein the pressure source further comprises one of a pressure supply pump driven with a constant high rotational speed and a pressure reservoir kept at a high pressure level, and the rear axle brakes are selectively connectable thereto by pulse-controllable inlet and outlet valves.
- 7. The brake system according to claim 1, wherein the sensor device comprises at least one pressure pick-up to monitor brake pressure in the front wheel brakes and generate an output signal characteristic of the outlet pressure of the brake unit connectable into at least one of the front wheel brakes.
- 8. The brake system according to claim 1, wherein a position pick-up is provided to generate, as representative of the outlet pressure of the brake unit, an output signal characteristic of one of a pedal position and a position of the brake unit piston which is displaceable by the brake pedal.
- 9. The brake system according to claim 1, wherein a pressure pick-up is provided for recording an actual value of the pressure connected into the rear wheel brakes and is operatively connected to the pressure outlet of the pressure source.
- 10. The brake system according to claim 1, wherein a computer stage is operatively associated with the system to continuously evaluate wheel peripheral speeds and of at least one driven and one free-running vehicle wheel to form a signal characteristic of a parameter in which drive slip of the vehicle, λ
-
a, is given by the following relationship
space="preserve" listing-type="equation">λ
.sub.a =(v.sub.ant -v.sub.f)/v.sub.antwhere vant is the driven wheel velocity, and vf is the free-running wheel velocity, and vehicle longitudinal acceleration is represented by z and, for values of the parameter dλ
a /dz, which are located within a range between 0.4 and 0.6, and to determine the friction coefficient, μ
B, associated with values of the vehicle longitudinal acceleration z in accordance with the following relationship
space="preserve" listing-type="equation">μ
.sub.B =Z/(ψ
-Z.sub.χ
)the friction coefficient, μ
B, being applied by the computer stage to determine the optimum rear axle braking force proportion, φ
om, and the optimized braking force distribution factor, DBom, and thereby provided optimized braking force distribution to the high speed vehicle.
- 11. The brake system according to claim 1, wherein the vehicle is equipped with an anti-lock brake system for stable dynamic deceleration behavior, and a vehicle deceleration ZABS, in relation to the gravitational constant, g, which equals 9.81 m/s2, which occurs with a response of the anti-lock brake system on all vehicle wheels, is applied as the friction coefficient, μ
- B, used for the determination of the optimum braking force distribution factor, DBom.
- 12. The brake system according to claim 1, wherein the vehicle is equipped with a longitudinal acceleration sensor arranged to generate electrical output signals characteristic of at least one of accelerations and decelerations occurring on the vehicle.
- space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
- 13. A brake system with variable axle braking force distribution between front and rear axles of a high speed vehicle in which downward aerodynamic forces on the vehicle cause an increase in axle loads as vehicle speed increases, wherein the increase in axle load is greater at the rear axle than at the front axle, comprising front wheel brakes, rear wheel brakes, a brake unit, actuatable by a brake pedal and configured to generate at least a brake pressure connectable into the front wheel brakes, and operatively connected with the front and rear wheel brakes such that in the event of a specified defined limiting value of an actuation force exerted by a driver of the high speed vehicle, the vehicle has a deceleration of a magnitude corresponding to complete utilization of frictional force on the braked vehicle wheels, a separate pressure source comprising a braking force control device with an electrically controllable outlet pressure connectable into a control pressure space of the brake unit and thereby additively superimposed on brake pressure generatable by actuation of the pedal alone, which brake pressure is connectable into the rear wheel brakes, the pressure source comprising an electronic control unit operatively configured to process at least one signal representative of the vehicle speed and one at least adjustably specifiable magnitude of a friction coefficient present at the vehicle wheels or assumed to be present and set, and to continuously form a value of an optimized braking force distribution factor in accordance with the linear relationship
- space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
μ
.sub.B +k.sub.3 ·
v
in which k1, k2 and k3 are vehicle-specific constants determined from linear interpolation of the manner in which DBom depends on v and μ
B, where DBom is determined in accordance with the following relationship ##EQU22## for different values of an optimized rear axle braking force proportion, φ
om, which has different values determined from a numerical evaluation of the following relationship ##EQU23## wherein ψ
represents the rear axle load proportion,χ
represents the height of the vehicle center of gravity in relation to the wheel base,ka,v represents the aerodynamic upward or downward force coefficient at the front axle, ka,h represents the aerodynamic upward or downward force coefficient at the rear axle, μ
B represents the coefficient of friction, andGg represents the vehicle weight, and a sensor device operatively arranged between the brake unit and the pressure source such that, during a braking operation, a signal characteristic of an instantaneous value of front axle braking force, FBV, is generated, and the pressure source is operatively arranged to cause the rear axle braking force, FBH, to follow up the front axle braking force, FBV, in accordance with the following relationship
space="preserve" listing-type="equation">F.sub.BH =DB.sub.om ·
F.sub.BV.- View Dependent Claims (14, 15, 16)
- space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
- 17. A method for providing variable braking force distribution between front and rear axles of a high speed vehicle in which downward aerodynamic forces on the vehicle cause an increase in axle loads as vehicle speed increases, with the increase in axle load being greater at the rear axle than at the front axle, comprising the steps of
generating a brake pressure in front wheel brakes of the vehicle processing at least one signal representative of the vehicle speed and one at least adjustably specifiable magnitude of an actual or assumed friction coefficient to continuously form an optimized braking force distribution factor value in accordance with the following linear relationship - space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
μ
.sub.B +k.sub.3 ·
v
in which k1, k2 and k3 are vehicle-specific constants determined from linear interpolation based on a relationship between DBom and v and μ
B, where DBom is determined in accordance with the following relationship ##EQU24## for different values of an optimized rear axle braking force proportion, φ
om, which has different values determined from a numerical evaluation of the following relationship ##EQU25## wherein ψ
represents the rear axle load proportion,χ
represents the height of the vehicle center of gravity in relation to the wheel base,ka,v represents the aerodynamic upward or downward force coefficient at the front axle, ka,h represents the aerodynamic upward or downward force coefficient at the rear axle, μ
B represents the coefficient of friction, andGg represents the vehicle weight, and during a braking operation, generating a signal characteristic of an instantaneous front axle braking force, FB, to cause a controllable pressure source to provide a rear axle braking source, FBH, for rear wheel brakes in accordance with the relationship
space="preserve" listing-type="equation">F.sub.BH =DB.sub.om ·
F.sub.BVwhereby, in the event of a specified defined limiting value of actuation force exerted by a vehicle driver on a brake pedal of the vehicle, the vehicle decelerates with utilization of substantially all frictional force on the braked vehicle wheels. - View Dependent Claims (18)
- space="preserve" listing-type="equation">DB.sub.om =k.sub.1 +k.sub.2 ·
Specification