Complex Engineering Problem (CEP)
Mechanical Vibration (ME-315) – Spring 2024
Submission: 10th May 2024
Instructor: Dr. Taimoor Hassan
Analysis of an automobile suspension system
Statement:
A vehicle travelling over a road surface, with a certain linear velocity, can be considered as an example
of the base excitation problem studied in mechanical vibration.
An automobile modeled as a single degree of freedom system with mass “𝒎” traveling, with a
constant linear velocity “𝒗”, over a road surface with a sinusoidal profile of amplitude 𝟏𝟎 𝒎𝒎 and
time period “𝑻” is shown in Fig. 01. The suspension system of the automobile consists of a damper,
with damping coefficient “𝒄”, and a linear spring with a stiffness “𝒌”.
10mm
Fig. 01: Problem schematics
Develop a mathematical model for the deflection experienced by the automobile as it travels over the
sinusoidal road. Determine the effect of “𝒎” and “𝒗” on the deflection of the automobile. Further
more also determine the effect of changing the suspension system parameters i.e. “𝒄” and “𝒌”.
Use MATLAB to simulate your results and show the comparison for the different values used
(𝒎, 𝒗, 𝒄, 𝒌). Make reasonable assumptions where required.
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Submission:
This is a group assignment and should be submitted in the form of a report. Each group can have a
maximum of 04 students. The report should be submitted in hard form along with the TURNITIN
report. Keep the report brief and to the point. The headings should include the followings;
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6.
Title
Introduction & Background
Methodology followed for solving the problem
Mathematical Modelling
Results/ Discussion
Conclusion
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