International Journal of Science and Research (IJSR) ISSN ... · Barouz, “Simulation and Analysis...

International Journal of Science and Research (IJSR) ISSN (Online): 2319-7064

Index Copernicus Value (2013): 6.14 | Impact Factor (2013): 4.438

National Conference on Knowledge, Innovation in Technology and Engineering (NCKITE), 10-11 April 2015

Kruti Institute of Technology & Engineering (KITE), Raipur, Chhattisgarh, India

Licensed Under Creative Commons Attribution CC BY

Modeling and Simulation of a Suspension System

for Different Road Disturbances

Sachin S. Channe1, Prof. S.D. Kshirsagar

2

1Yeshwantrao Chavan college of Engineering, Nagpur (India),

[email protected]

2Prof, Yeshwantrao Chavan college of Engineering, Nagpur (India),

[email protected]

Abstract: Modeling of a suspension system is done for doing the vibration analysis. MATLAB is used for plotting the responses of the

system. In practical situation, road disturbances are different than the assumed one. In this paper, system is simulated for different road

disturbances in order to achieve a practical road conditions. The different road profiles considered are sinusoidal, square, step,

triangular and sinc waveforms.

Keywords: Modeling, MATLAB, Road disturbances, Vibration.

1. Introduction

Suspension system plays an important role for providing the

comfort and safety ride. Most of the research has been done

in vibration analysis for achieving the comfort of passenger.

Road conditions assumed in many of the papers are of step

type but it doesn’t matches with the actual road conditions.

So the results obtained are not accurate. In order to achieve

accuracy, various road profiles are assumed which are nearer

to the actual road conditions. MATLAB programs for various

road profiles are developed and responses are plotted.

Different road profiles considered are sinusoidal, step,

square, triangular and sinc.

2. Mathematical Modeling

Figure 1: Mathematical model

Mathematical model developed is quarter car model having

two degree of freedom.

Table 1: Units for suspension system

Symbol Quantity Unit

mw Mass of wheel kg

mv Mass of vehicle body

kg

Ks Stiffness of vehicle body N/m

Kt Stiffness of tire N/m

Cs Damping coefficient of vehicle body N-s/m2

yv Displacement of vehicle body m

yw Displacement of wheel m

2.1 Free body Diagram

For wheels,

Figure 2: FBD of un-sprung mass

For vehicle body,

Figure 3: FBD of sprung mass

2.2 Equation of motion

mw*ÿw – cs(ýv-ýw)+kt(yw-y) -ks (yv-yw)

=0 (1)

mv*ÿv + cs(ýv - ýw)+ks (yv - yw)=0 (2)

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2.3 Input parameters

Table 2: Values for suspension system

Symbol Quantity Unit Values

mw Mass of wheel Kg 10

mv Mass of vehicle body Kg 100

Ks Stiffness of vehicle body N/m 18600

Kt Stiffness of tire N/m 266252

Cs Damping coefficient of vehicle

body

N-s/m2 1490

3. Road Profiles

Actual disturbances in road profile are bumps and potholes of

different sizes. Bump or pothole is assumed to be of 10 cm.

3.1 Sinusoidal profile

Figure 4: Sinusoidal profile

3.2 Step Profile

Figure 5: Step profile

3.3 Square Profile

Figure 6: Square profile

3.4 Sinc Profile

Amplitude goes on decreasing in this type.

Figure 7: sinc profile

3.5 Triangular Profile

Figure 8: Triangular profile

4. Results

4.1 Sinusoidal Profile

Figure 9: Displacement of wheel vs time

Figure 10: Displacement of Vehicle body vs time

50







4.2 Step Profile



4.3 Square Profile



4.4 Sinc profile



51







4.5 Triangular Profile



5. Conclusion

Responses for different road profiles are plotted. From the

responses we can conclude that:

1) Practical road disturbances are bumps and potholes, so the

profile which is nearer to the actual road profile is

sinusoidal profile.

2) Sinc road profile which is an extension of sinusoidal road

profile. In this profile the peak amplitude is unity and with

the time, amplitude goes on decreasing. So we get Bumps

and Potholes of various sizes as that of the actual

condition.

3) Square and triangular road profiles are not as per the actual

conditions but it can be considered for studying sudden

impacts occurring and how the vehicle suspension will

react to it.

4) From above observation, we can conclude that sinusoidal

and sinc can be used to get accurate results. Step, Square,

triangular road profiles can be used for the study purpose.

References

[1] Florin , Manolache-Rusu Ioan-Cozmin , Pătuleanu

Liliana, “PASIVE SUSPENSION MODELING USING

MATLAB, QUARTER CAR MODEL, IMPUT

SIGNAL STEP TYPE”, TEHNOMUS - New

Technologies and Products in Machine Manufacturing

Technologies.

[2] Oluwole O. O, “ Matlabr and Simulink Use in Response

Analysis of Automobile Suspension System in Design”,

International Journal of Traffic and Transportation

Engineering 2012, 1(2): 19-31 DOI:

10.5923/j.ijtte.20120102.03.

[3] Abdolvahab Agharkakli*Chavan U. S. Dr. Phvithran S,

“Simulation And Analysis Of Passive And Active

Suspension System Using Quarter Car Model For Non

Uniform Road Profile”, Abdolvahab Agharkakli, Chavan

U. S. Dr. Phvithran S. / International Journal of

Engineering Research and Applications (IJERA) ISSN:

2248-9622 www.ijera.com Vol. 2, Issue 5, September-

October 2012, pp.900-906 900 .

[4] P. Sathishkuma, J. Jancirani, Dennie john, S.

manikandan, “Mathematical modelling and simulation

quarter car vehicle suspension” ,International Journal of

Innovative Research in Science, Engineering and

Technology

[5] An ISO 3297: 2007 Certified Organization, Volume 3,

Special Issue 1, February 2014.

[6] S. Segla, S. Reich, “Optimization and comparison of

passive, active, and semi-active vehicle suspension

systems” , 12th IFToMM World Congress, Besançon

(France), June18-21, 2007

[7] Abdolvahab Agharkakli, Ghobad Shafiei Sabet, Armin

Barouz, “Simulation and Analysis of Passive and Active

Suspension System Using Quarter Car Model for

Different Road Profile”, International Journal of

Engineering Trends and Technology- Volume3Issue5-

2012 ISSN: 2231-5381

[8] Mr.Rajendra Kerumali, Prof. Dr. S. H. Sawant,

“Analysis of Nonlinearity in spring and Damper of

Vibration Isolator Subjected to Harmonic Excitation” ,

SSRG International Journal of Mechanical Engineering

(SSRG-IJME) – volume1 issue 3 July 2014 ISSN: 2348

– 8360.

[9] C. B. Patel, P. P. Gohil and B. Borhade,“MODELLING

AND VIBRATION ANALYSIS OF A ROAD

PROFILE MEASURING SYSTEM”, Journal of

Automotive and Mechanical Engineering (IJAME)

ISSN: 1985-9325(Print); ISSN: 2180-1606 (Online);

Volume 1, pp. 13-28, January-June 2010.

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International Journal of Science and Research (IJSR) ISSN ... · Barouz, “Simulation and Analysis...

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