NHA2414 Assignment Brief
| Module | Details |
| Module Code | NHA2414 |
| Module Title | Dynamic Analysis and Control |
| Course Title/s | BEng Mechanical/Automotive Engineering |
| Assessment | Weighting, Type and Contact Details |
| Title | Assignment |
| Weighting | 50% |
| Mode of working for assessment task | Individual |
| Submission | Submission and Feedback Details |
| Hand-out date | 06/02/2026 |
| How to submit your work. | Via Turnitin on Brightspace |
| Submission date/s | 08/05/2026 by 12:00am midnight – if you have any technical issues submitting your work, please contact the Module Leader as soon as possible. |
| Expected amount of independent time you should allocate to complete this assessment | 50 Hours |
| Submission type and format | 2000-2500 word individual discussion and conclusions. Individual peer evaluation sheets must also be submitted |
| Submission | Submission and Feedback Details |
| Date by which your grade and feedback will be returned | 29/05/2026
Note: This is a maximum of three working weeks after the submission deadline. |
| Additional Guidance
Information |
Details |
| Your responsibility | It is your responsibility to read and understand the University regulations regarding conduct in assessment.
Please pay special attention to the assessment regulations on Academic Misconduct. In brief: ensure that you; 1. DO NOT use the work of another student – this includes students from previous years and other institutions, as well as current students on the module. 2. DO NOT make your work available or leave insecure, for other students to view or use. 3. Any examples provided by the module tutor should be appropriately referenced, as should examples from external sources. Further guidance can be found in the SCEN Academic Skills Resource and UoH Academic Integrity Resource modules in Brightspace. |
| Guidance on using AI:
|
Level 1 – Not Permitted
The use of AI tools is not permitted in any part of this assessment.
|
| School Guidance and
Support |
If you experience difficulties with this assessment or with time management, please speak to the module tutor/s, your Personal Academic Tutor, or the Student Progress Mentors.
Student Progress Mentor – useful links. |
| Additional Guidance
Information |
Details |
|
|
| Requesting a Late
Submission |
It is expected that you complete your assessments by the published deadlines. However, it is recognised that there can be unexpected circumstances which may affect you being able to do so. In such circumstances, you may submit a request for an extension.
Extension applications must be submitted before the published assessment deadline has passed. To apply for an extension, you should access the Extension System on MyHud. |
| Extenuating
Circumstances (ECs) |
An EC claim is appropriate in exceptional circumstances, when an extension is not sufficient due to the nature of the request. You can access details on the procedure for claiming ECs, on the Registry website; Consideration of Personal Circumstances
– University of Huddersfield, where you can also access the EC Claim Form. You will need to submit independent, verifiable evidence for your claim to be considered. Once your EC claim has been reviewed you will get an EC outcome email from Registry. An approved EC will extend the submission date to the next assessment period (e.g July resit period). |
| Late Submission
(No ECs approved) |
Late submission, up to 5 working days, of the assessment submission deadline, without an approved extension will result in your grade being capped to a maximum of a pass mark. Submission after this period, will result in a 0% grade for this assessment component. |
| Additional Guidance
Information |
Details |
| Tutor Referral available | NO |
| Resources
|
• Please note: you can access free Office365 software and Matlab/Simulink and you have 100 Gb of free storage space available on Microsoft’s OneDrive – Guidance on downloading Office 365. |
Dynamic Analysis and Control of a Quarter-Car Suspension
Background
The suspension system supports the vehicle, allowing the wheels to move up and down over irregularities in the road. It cushions the ride for the frame, engine, transmission, and passengers, while keeping the tires in firm contact with the road under all conditions. Suspension system parts include springs, damping devices (shock absorbers), ball joints, steering knuckles, and spindles or axles. Two types of front suspension systems are widely used in today’s vehicles: the MacPherson strut suspension and the short/long arm (SLA) suspension. A sound suspension design is based on proper suspension modelling and simulation.
A proper literature review for a better understanding of a car suspension system would be a good start for the assignment. You will be provided with some typical data ranges for one-degree-freedom suspension and two-degree-freedom suspension, including the mass, spring and dampers. You are also be given some PID controller parameters. You will need to find any additional figures you need by research or calculations. The design criteria is deliberately open, it is up to you how you model the system in Matlab/Simulink. The final findings and suggested active control system for a suspension should be in line with criteria made by automotive industry.
TASK LIST:
This is an individual assignment which comprises of four tasks:
Task 1):
The quarter-car model of a vehicle suspension and its free body diagram are shown in Figure 1. In this simplified model, the masses of the wheel, tire, and axle are neglected, and the mass m represents one-fourth of the vehicle mass. The spring constant k models the elasticity of both the tire and the suspension spring. The damping constant c models the shock absorber. The equilibrium position of m when y=0 is x=0. The road surface displacement y(t) can be derived from the road surface profile and the car’s speed.
a. Draw free body diagram (FBD) and derive the equation of motion of m with y(t) as the input, and obtain the transfer function.
If assume: m=250 kg k=10000, 30000, 50000 N/m
c=1000, 2000, 3000 N.s/m
b. Plot magnification ratio vs frequency ratio (r=0-4) diagrams for the parameters given above (you can draw the three curves in one diagram for three different k values and do the same for the three c values as well).
c. Use the derived transfer function to model the system and plot the step response for the system by Matlab or Simulink.
Task 2)
A common example of base excitation is caused by a vehicle motion along a bumpy road surface as shown in Figure 2. This motion produces a displacement input to the suspension system via the wheels. The second task is to calculate and draw displacement transmissibility ratio diagram for a quarter car with 250 kg, the spring constant is 10000 N/m, but varying damping constant to be 1000, 2000, 3000, 5000 and 10000 N.s/m. If the vehicle driver wishes to reduce the vehicle’s body displacement, what suggestion you could make for the driver and why?
Task 3)
The suspension model and free body diagram shown in Figure 2 includes the mass of the wheel-tire-axle assembly. The mass m1 is one-fourth the mass of the car body, and m2 is the mass of the wheel-tire-axle assembly. The spring constant k1 represents the suspension’s elasticity, and k2 represents the tire’s elasticity.
a. Draw FBD and derive the equations of motion for m1 and m2 in terms of the displacements from equilibrium, x1 and x2, and obtain corresponding transfer functions for m1 and m2.
b. Find transfer function equations for m1 and m2
c. If assume: m1=250 kg, m2=40 kg, k1=15000 N/m, k2=150000 N/m, use Matlab to draw the root locus plot to determine the damping value of c1 required to give a dominant root pair having a damping ratio of ξ=0.707
d. Use the value of c1 and the derived transfer functions to model the system and test the step response for the system (m1 and m2) by Matlab or Simulink (plot corresponding diagrams of the response for t=0-1s. You can use either transfer function or state space modelling for the system).
Task 4)
If you are required to design a PID controller f for the Chassis, what model you should derive and what procedure you would follow and what PID design parameters you could suggest and why?
Marking Criteria
The brief is deliberately quite open, and you will receive higher marks if you support and justify your design with appropriate research. Higher marks will also be given for novel solutions, as long as those solutions are valid and justified. Higher marks will be awarded for models with an appropriate level of complexity. Over complex models that add little to the accuracy of the solution will not attract higher marks, nor will over simplified models that sacrifice accuracy.
Time required
You should expect to spend approximately 48 hours on the computer to complete the modelling element in addition to the 12 hours of timetabled laboratory time. The final write up should take 12 hours.
Deliverables
An electronic PDF copy of your report delivered to Turn-it-in in Brightspace before midnight on the hand in date. Please convert your report to PDF and ensure that it has converted properly before submitting to Brightspace. Please note the report will automatically be checked for plagiarism, therefore ensure that all of your sources are correctly referenced.
Marking scheme and Assessment Criteria
One-degree-of-freedom suspension model: —————–20%
Investigate how the mass, spring constant and damping constant for a car suspension will affect the riding comfortable of the car. Gain systematic understanding of how to model and analysis single degree of freedom suspension system. A pass mark will be awarded where the proper formulas have been derived and used to calculate with assigned parameters. Higher marks will be awarded for correct, accurate model and more than one modelling method (for example proper Matlab/Simulink modelling, sufficient analysis and better selection for mass, spring and damping) have been used for analysis and investigation into the influence of mass, spring and damper of the system dynamics.
Transmissibility analysis and drawing the plot—————– 20%
Understanding the relationship between the transmissibility ratio and frequency ratio and recognising the difference between the amplitude ratio curve and transmissibility ratio curve. A pass mark will be awarded where an appropriate drawing has been made and there has been an attempt to investigate the response with differing parameters. Higher marks will be awarded where there has been a detailed analysis of the suspension response and the optimised k and c values have been recommended.
Two-degree-of-freedom suspension model: ———— 30%
Apply knowledge of mathematics, engineering principles and control theories to analyse the suspension of 2 DOF system, and learn how to design a complex system with multiple degrees of freedoms. Use Matlab/Simulink software to model and simulate 2 DOF suspension, understand the important role of modelling in the control system design process and be aware of their advantages and limitations. A pass mark will be awarded where the proper formulas have been derived and used to calculate with assigned parameters. Higher marks will be awarded for correct, accurate models and more than one modelling method have been adopted for analysis and investigation into the influence of mass, spring and damper of the system dynamics.
Active suspension modelling and calculation: – ———– 15%
Understand control principles such as PID controller and design techniques like transfer function (TF) method and state space (SS) method. Know how to use software to model a control system and be aware of their advantages and limitations. Gain coherent and detailed knowledge of control system stability and performance. A pass mark will be awarded where the springs and dampers have been selected to satisfy the design criteria using hand calculations combined with justification. Higher marks will be awarded for a detailed systematic analysis like properly implementing and simulating the PID controller by Matlab/Simulink.
Presentation: ———— 15%
Present your report with a standard coursework writing format included a brief literature review, report objectives, mathematical modelling and simulation, proper discussions for simulation results and final conclusions. You will obtain a pass mark if you submit a neat report divided into appropriate sections and for higher marks your report must be well structured and written. A professional level of engineering knowledge has been demonstrated.
(For more details, please see attached appendix for standard mark rubric)
Marking Rubric
| Mark Rubric | ||
| 90
+ |
Outstanding demonstration of scholarly application and critical understanding of subject area knowledge
well-structured assessment that addresses the learning outcomes and specific criteria for the module critical understanding/application is evident through systematic, relevant and comprehensive coverage of content clearly communicated in a style appropriate to the assessment brief very limited areas for improvement accurate and consistent use of a recognised referencing system wide range of appropriate sources |
|
| 80
+
|
Exceptional demonstration of scholarly application and critical understanding of subject area knowledge
well-structured assessment that addresses the learning outcomes and specific criteria for the module critical understanding/application is evident through systematic, relevant and comprehensive coverage of content clearly communicated in a style appropriate to the assessment brief accurate and consistent use of a recognised referencing system wide range of appropriate sources |
|
| 70 +
|
Excellent demonstration of scholarly application and critical understanding of subject area knowledge
well-structured assessment that addresses the learning outcomes and specific criteria for the module critical understanding/application is evident through systematic and relevant coverage of content clearly communicated in a style appropriate to the assessment brief accurate and predominately consistent use of a recognised referencing system wide range of appropriate sources |
|
| 60 +
|
Very good demonstration of scholarly application and critical understanding of subject area knowledge
well-structured assessment that addresses the learning outcomes and specific criteria for the module critical understanding/application is generally evident in the coverage of content |
|
| clearly communicated in a style appropriate to the assessment brief
predominantly consistent and generally accurate use of a recognised referencing system good range of appropriate sources |
||
| 50 +
|
Good demonstration of scholarly application and critical understanding of subject area knowledge
fairly well structured assessment that addresses the learning outcomes and specific criteria for the module some critical understanding/application is evident through coverage of content which is also descriptive good communication in a style appropriate to the assessment brief predominantly consistent and generally accurate use of a recognised referencing system a range of appropriate sources |
|
| 40 +
|
Adequate demonstration of scholarly application and critical understanding of subject area knowledge
adequately structured assessment that addresses the learning outcomes and specific criteria for the module largely descriptive with some critical understanding/application evident through coverage of content communicates in a style appropriate to the assessment brief attempts to use a recognised referencing system but may have occasional systematic errors a limited selection of appropriate sources |
|
| 30 +
|
Limited demonstration of scholarly application and critical understanding of subject area knowledge poorly structured assessment that does not completely address the module learning outcomes and specific criteria for the module
work is descriptive in its coverage of the content poor communication that does not use a style appropriate to the assessment brief use of recognised referencing system is systematically inaccurate in a number of places an insufficient range of appropriate sources |
|
| •
• |
20
+ |
Minimal demonstration of scholarly application and critical understanding of subject area knowledge
• poorly structured assessment that only address a small part of the module learning outcomes and specific criteria for the module • work is descriptive in its coverage of the content, and in places may be inadequate • poor communication that does not use a style appropriate to the assessment brief • use of recognised referencing system is systematically inaccurate throughout the document • an insufficient range of appropriate sources |
| 10
+ |
poorly structured assessment that does not address the module learning outcomes and specific criteria coverage of the content is inadequate or incomplete
poor communication that does not use a style appropriate to the assessment brief recognised referencing system is not used sources are very limited or absent, or over reliance on one or two sources |
|
| 0+ | Poorly structured assessment that does not address at all the learning outcomes and specific criteria for the module | |
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