Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car =...
-
Upload
priscilla-barnett -
Category
Documents
-
view
215 -
download
2
Transcript of Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car =...
![Page 1: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/1.jpg)
![Page 2: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/2.jpg)
Sketch Model
![Page 3: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/3.jpg)
Bond Graph
![Page 4: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/4.jpg)
Initial Parameters Moment of Inertia of Car = J = 20 K-m2
Mass of Car = 200 Kg Distance of front axle from the center of gravity = a = 0.5 meter Distance of Rear Axle from the center of gravity = b = 0.5 meter Spring factor at rear wheel suspension = Kr = 1000 N/m Damping factor at rear wheel suspension = Rr = 300 N-s/m Spring factor at front wheel suspension = Kf = 1000 N/m Damping factor at front wheel suspension = Rf = 300 N-s/m Velocity input at the rear wheel due to bump = Vr_in = 0 m/s Velocity input at the front wheel due to bump = Vf_in = 0 m/s
![Page 5: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/5.jpg)
CASE 1 :: Change velocity of Car
Velocity changed to10 mph 20 mph40 mph60 mph 100 mph
![Page 6: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/6.jpg)
Graph of Displacement of Rear and Front suspension Velocity of a car = 10 mph
0 5 10 15 20 25 30 35 40-5
0
5
10
15 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 7: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/7.jpg)
Velocity of a car = 20 mph
0 5 10 15 20 25 30 35 40-5
0
5
10
15 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 8: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/8.jpg)
Velocity of a car = 40 mph
0 5 10 15 20 25 30 35 40-5
0
5
10
15 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 9: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/9.jpg)
Velocity of a car = 60 mph
0 5 10 15 20 25 30 35 40-10
0
10
20 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 10: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/10.jpg)
Velocity of a car = 100 mph
0 5 10 15 20 25 30 35 40-10
0
10
20 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 11: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/11.jpg)
CASE 2 :: Design of Spring and Damping propertiesObservat
ionNo
Velocity (mph)
Kf (N/m) Rf (N-s/m)
Kr (N/m) Rr (N-s/m)
1 100 100 50 100 50
2 100 500 250 500 250
3 100 1000 50 1000 50
4 100 2000 10 2000 100
5 100 2000 1800 2000 1800
![Page 12: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/12.jpg)
Observation Number 1
0 5 10 15 20 25 30 35 40-10
0
10
20 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
5
10
15 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 13: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/13.jpg)
Observation Number 2
0 5 10 15 20 25 30 35 40-4
-2
0
2
4 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 14: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/14.jpg)
Observation Number 3
0 5 10 15 20 25 30 35 40-5
0
5 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 40-2
0
2
4
6 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 15: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/15.jpg)
Observation Number 4
0 5 10 15 20 25 30 35 40-4
-2
0
2
4 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 40-1
0
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 16: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/16.jpg)
Observation Number 5
0 5 10 15 20 25 30 35 40-0.5
0
0.5 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15
0.3
0.4
0.5
Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 17: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/17.jpg)
CASE 3 :: Changes made in position of Center of Gravity
Observation
Velocity
(mph)
Scenario a (meter
s)
b (meter
s)
Kf (N/m)
Rf (N-
s/m)
Kr (N/m
)
Rr (N-
s/m)
1 100 Moving C.G.
closer to Front Axle
0.3 0.7 1000 300 1000 300
2 100 0.2 0.8 1000 300 1000 300
3 100 Moving C.G.
closer to Rear Axle
0.7 0.3 1000 300 1000 300
4 100 0.8 0.2 1000 300 1000 300
![Page 18: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/18.jpg)
Moving C.G. closer to Front Axle
![Page 19: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/19.jpg)
Observation Number 1
0 5 10 15 20 25 30 35 40-2
-1
0
1
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 20: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/20.jpg)
Observation Number 2
0 5 10 15 20 25 30 35 40-1
0
1
2
3 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 21: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/21.jpg)
Moving C.G. closer to Rear Axle
![Page 22: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/22.jpg)
Observation Number 3
0 5 10 15 20 25 30 35 40-3
-2
-1
0
1 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 23: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/23.jpg)
Observation Number 4
0 5 10 15 20 25 30 35 40-3
-2
-1
0
1 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 24: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/24.jpg)
Case 4 :: Giving a Bump to the Vehicle
Observation Velocity (mph)
Scenario Vf (m/s) Vr (m/s) Kf (N/m)
Rf (N-s/m)
Kr (N/m)
Rr (N-s/m)
1 100 Lower Bump
-12 0 1000 300 1000 300
2 100 0 -12 1000 300 1000 300
3 100 -12 -12 1000 300 1000 300
4 100 Upper Bump
12 0 1000 300 1000 300
5 100 0 12 1000 300 1000 300
6 100 12 12 1000 300 1000 300
![Page 25: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/25.jpg)
Lower Bump
![Page 26: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/26.jpg)
Observation Number 1
0 5 10 15 20 25 30 35 40-1
0
1
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 27: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/27.jpg)
Observation Number 2
0 5 10 15 20 25 30 35 40-2
-1
0
1
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
1
2
3
4 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 28: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/28.jpg)
Observation Number 3
0 5 10 15 20 25 30 35 40-1
0
1
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
2
4
6 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 29: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/29.jpg)
Upper Bump
![Page 30: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/30.jpg)
Observation Number 4
0 5 10 15 20 25 30 35 40-4
-2
0
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
0.5
1
1.5
2 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 31: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/31.jpg)
Observation Number 5
0 5 10 15 20 25 30 35 40-4
-2
0
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 400
0.5
1
1.5 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 32: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/32.jpg)
Observation Number 6
0 5 10 15 20 25 30 35 40-4
-2
0
2 Displacement of the front axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
0 5 10 15 20 25 30 35 40-0.5
0
0.5
1
1.5 Displacement of the rear axle
Dis
pla
cem
ent
(mete
rs)
Time (seconds)
![Page 33: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/33.jpg)
Case 5 :: Car with consideration of the Passenger
![Page 34: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/34.jpg)
Initial Parameters
Moment of Inertia of Car = J = 20 K-m2
Mass of Car = 200 Kg Mass of Man = 20 Kg Distance of front axle from the center of gravity = a = 0.5 meter Distance of Rear Axle from the center of gravity = b = 0.5 meter Distance of man from the center of gravity = c = 0.3 meter Spring factor below the seat of the man = Ks = 0.000001 N/m Spring factor at rear wheel suspension = Kr = 1000 N/m Damping factor at rear wheel suspension = Rr = 300 N-s/m Spring factor at front wheel suspension = Kf = 1000 N/m Damping factor at front wheel suspension = Rf = 300 N-s/m Velocity input at the rear wheel due to bump = Vr_in = 0 m/s Velocity input at the front wheel due to bump = Vf_in = 0 m/s
![Page 35: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/35.jpg)
Results of case 5
![Page 36: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/36.jpg)
Conclusion From Case 1, we can say that as we increase
the velocity from 10 to 100 mph the displacement of the front axle suspension and the rear axle suspension increases. But comparing the rear axle suspension with the front axle suspension, we can say that the rear axle is always having more displacement than the front axle suspension displacement.
From Case 2, we have designed the best Damper and spring properties for the case of a car having a weight of 200 Kg of weight. The Kf =Kr=2000 N/m,Rf=Rr =1800 N-s/m
![Page 37: Sketch Model Bond Graph Initial Parameters Moment of Inertia of Car = J = 20 K-m 2 Mass of Car = 200 Kg Distance of front axle from the center.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf7a1a28abf838c832a3/html5/thumbnails/37.jpg)
Conclusion From Case 3, we changed the center of gravity of the car
towards the forwards position and we could see that the suspension at the rear portion was less loaded and thus gave less oscillations than the front one. The opposite happened for the case when we shifted the center of gravity towards the rear axle.
From Case 4, we gave a lower bump and we could see that there was a sudden oscillation increase at the starting time and it kept constant for some time. The same results happened for the upper bump but the graph was having oscillation in the positive direction.
From Case 5, we studied the oscillation of the seat of the passenger and we could conclude that with the initial parameters the oscillation in the seat will nullify after 12 to 13 seconds.