Assignment Task: Quarter car modelling
Learning Outcomes:
This assignment aims to enhance students' knowledge on applied computer simulation and practical methods to analyse vehicles dynamics and vibration.
The successful student will be able to:
A) Apply analysis techniques to load an active suspension example
B) Use commercial packages to model quarter car model with an aim to understand:
• A method of characterizing the Newton laws for modelling oscillating behaviour
• A theoretical approach to establish calculation of a 2 degree of freedom system
• The impact of the modelling choices to the accuracy of results under different loading conditions
• Understands subtle different approaches to model a vibrating system
• How these findings can be used to improve the actual suspension system
The assignment will reinforce a student to:
• Analyse an oscillating structural event such as frequencies and shape modes.
• Understand the fundamental differences to structural behaviour under different modal assumptions (boundary conditions, load combinations)
• Understand how loads can develop through an assembly. The chosen vehicle part should belong to this simple assembly
• Compare theoretical outputs to the computer models
• Appreciate how a fundamental approach to simulation can be used to derive structural performance.
Assignment Brief:
For the purposes of this assignment you have been tasked with simulating a simplified model of a quarter car active suspension. You are encouraged to consider the identified loading scenarios and complete the tasks of this assignment. You may develop your own assumptions under your identified loading/displacement scenarios and provide a clear evaluation on the oscillating system when experiencing road conditions. Your defined assumptions should be based on a clear loading and boundary condition you may use to assess these solutions. These should lead you to develop your own Simulink model and compare the theoretical and Simulink models. In final stage a comparison should be made on those found from modelling/simulation.
Please provide a report with your assumptions, calculations, solutions and observations as follows:
• Your assumptions in terms of design, requirements and measurable
• State clearly your requirements and their limits
• Justify your model choices and calculate their influence on its performance
• Compare the methods for differences and similarities
• Highlight design recommendations which can improve the function of the design.
Assignment Task 1: Theoretical modelling
• Perform free body diagram (FBD) for the system to satisfy the Newton's 2nd low. Please develop your own assumptions to address the applied forces onto the identified masses.
• Find the equation of motions and response of the system to oscillations. You may use your own assumptions as used in the FBD of the system. Please make sure to address loading scenarios applied to masses, springs and damping elements.
• Please consider either free or forced vibration and complete the results. The assumption made in previous step can be used here. However, your defined assumptions should be based on clear and specific metrics which you may use to assess these solutions. The vibration characters, e.g. frequency of oscillation and response of the system, need to be appropriately calculated based on your individual data.
Assignment Task 2: MATLAB simulation
• Please simulate the system using a MATLAB program. You can consider the assumption made in previous tasks. These should lead you to develop your own individual Simulink model with a potential design choice which can be assessed against the model derived in previous task.
• Please used the model created in Task1 to simulate the suspension model. You are encouraged to evaluate the function of the suspension on specified road profile. Key calculations and assumptions need to be explained and justified adequately.
• Please plot the displacement and acceleration of the car/suspension. You can assume that possible forces are applied uniformly.
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