41
where:
0
TD
M
– friction torque in the engine at minimum
angular speed;
TR
i
– transmission gear ratio;
D
r
– dynamic wheel radius;
a
V
– vehicle speed;
TR
– transmission efficiency factor;
K
r
– wheel rolling radius;
b
– coefficient of increase of mechanical losses from the
engine angular speed.
K
a
F
f m g
(5)
where:
f – is the coefficient of rolling friction of the wheels;
g – is the acceleration of free body fall.
B
B
a
F
W V
(6)
where:
B
W
– is a flow factor.
Then the deceleration of the car in fractions g:
2
0
2
1
TD
TR
TR
a
a
B
a
a
D
TR
K
TR
M
i
b i
V
a
f m
g
W V
g m
r
r
(7)
In Figure 5 shows the calculated
dependencies of modern
passenger car deceleration on the speed in the process of stopping the
combustion engine on the horizontal road section in different gears
[1].
42
Figure 5 – Dependence of deceleration of a modern passenger car on
speed during braking of an internal combustion engine on a
horizontal section of the road in various gears.
Analysis of Figure 5 shows that at the beginning of braking by
the engine at the speed of IV gear the deceleration of the car
decreases from 1.1 to 0.4 m/s2, which is due to the peculiarity of the
power characteristic of the mechanical losses of combustion engines
(Figure 4). At the same time, the car's speed can be reduced to 40
km/h. For further speed reduction it is reasonable to switch to II gear.
Then the deceleration will first increase to 1.5 m/s2, and at 20 km/h
speed it will decrease to 0.9 m/s2.
It is advisable to use the service
braking system to complete
the braking process. For more comfortable braking, you can use
another technology: reduce the speed from 120 to 60 km/h; engage
III gear and start braking with the same small initial deceleration –
1.1 m/s2; complete braking with the service brake system. Figure 5
can see that the lower the gear, the
steeper the curves, i.e. the more
intensive the deceleration decreases. It complicates estimation of
braking efficiency, because GOST gives values for steady-state
decelerations typical for working brake system (Figure 6).
Analysis of Figure 5 shows that deceleration within the
specified limits can only be achieved if the engine starts braking at
25 km/h in first gear. However, this is inexpedient, because
practically all kinetic energy of the car will be extinguished by the
main braking system. The engine should be braked immediately if it
is necessary to reduce the speed of the car. Analysis of Figure 5 also
43
shows that braking of a car within the speed range defined by GOST
during tests of the auxiliary braking system (25-35 km/h) can be
performed in the second gear, where the minimum deceleration (0.9
m/s2) is higher than that defined
by GOST for vehicle of the
permitted maximum weight (0.8 m/s2). Therefore, it can be
concluded that the efficiency of braking a modern car engine meets
the requirements of the current GOST. However,
such low
deacceleration values do not provide effective service braking of the
car by the engine. Much higher values are given in the literature. The
textbook by V.N. Kravts [1] states that service braking of the car is
performed with 0.8-1.7 m/s2 deceleration. It is noted in [12] that
smooth service braking is usually used under operating conditions
without causing unpleasant sensations and discomfort for passengers
with a deceleration of 1.5-2.5 m/s2. Even higher deceleration values
during service braking are given in [13] – 2.5-3.0 m/s2.
As a result of the author's research on slowing down of the
route taxi while operating on the city route, it was found to be in the
range of 2.66-3.08 m/s2. With less deceleration, the driver practically
did not slow down, because then the braking distance becomes
unacceptably large.
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