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ENEM14015 Mechanical Systems 2017

ENEM14015 Mechanical Systems 2017



ENEM14015 Mechanical Systems 2017Use these questions to help show your individual ability to fulfil some of the Learning Outcome criteria for ENEM14015. You can choose to do as many questions or parts of questions as required. You can also create/solve your own additional questions or expand/improve on the team projects. Focus you efforts in the portfolio criteria areas you require more evidence. Some of the portfolio criteria requires multiple DOF’s so feel free to add more DOF’s to the demonstration questions to allow you to demonstrate the excellent portfolio criteria. The demonstration problems submitted in your portfolio must be solely your own work.

A Distinction or High Distinction Level will require a demonstration of a high individual achievement of the Learning Outcomes and the demonstration problems and other individual work will assist in creating the necessary evidence for this. Without any Demonstration Problems or other totally unique work it will be very difficult to attain the Excellent level of the Portfolio assessment criteria and hence a Distinction or High Distinction.

You will get due credit for part completions of questions. Major faults that demonstrate a lack of understanding could impact on your criteria based assessment and result in a reduction in grade

Papers can be completed in handwritten form, scanned and submitted  Make sure your method is shown clearly with adequate diagrams and working as if it was to be checked by another engineer.

Any Matlab, Simulink, Excel files should also be submitted. Make it clear in your submission the name of files which relate to which questions. Explain clearly how the work in these files were developed, i.e. modelling equations, non-linearity’s, inputs, non-linearity’s etc.

The demonstration problems should be included in your portfolio submission and used to support your claims against the learning criteria.


Only clarifications to questions will be given. As stated previously these should be your own work, use your learnings from the team projects and tutorials to complete them. Any clarifications will be posted on Moodle.

Individual Effort

Make sure the work submitted is your own work. You can use/modify project work or files provided in the course to help but do not directly copy report sections or Simulink models used in the projects. To show your understanding of the Matlab scripts add your own comments and modifications. You should develop any Simulink models from scratch. This is meant to be a demonstration of your own understanding of the course.

Section A – Rail Vehicle Suspension


The context for Parts 1 to 2 is your car. If you do not have a car, you can choose one. The model of the car must be clearly stated in your answer

Using this context complete analysis that demonstrates your abilities, start, like you did during the term, look at simple modeling approximations and then progress on to more complex models.

Find, estimate or calculate the mass and suspension data for the car you choose. (they should be reasonable and somewhat justified):

  • Masses, 2nd Moments of Inertia
  • Stiffness, Damping
  • Dimensions
  • Centre of gravity

Figure 1: Some cars

QUESTION 1: 1 DOF Modeling

Create a 1 DOF system approximation of your car and analyse the system using theoretical vibration calculations/ or Matlab scripts and compare with a simulink model:

  1. For free vibration
  2. For forced vibration (you will have to estimate the forced vibration that could be expected in your vehicle)
  • The response of your car to expected road surface roughness and possible road defects.
  1. Include in your Simulink model suitable non-linearity’s, discuss and show how or if these will affect the previous analysis. You may have to generate some extreme road defects to show the operation of the non-linear properties.
  2. Damping helps to isolating vibration and reduces transmitted vibration. Based on your analysis write a paragraph on the effect of damping in affecting your car’s performance i.e. Where would be better to use high damping; Where would it be better to use low damping; and how does the damping levels you have chosen in your car affect passenger comfort and the wheel-road contact force.

QUESTION 2: 2 DOF modelling

Improve your car model and include the roll DOF in addition to vertical motion. For this 2DOF system there will be two mode shapes and two natural frequencies to calculate. Demonstrate your competence by:

  1. Creating the two (2) equations of motion
  2. Creating the equations of motion in matrix form
  • Creating/modifying a Matlab script using eigenvalues and eigenvectors or other means to find the natural frequencies and mode shapes.
  1. Discuss what the mode shapes and natural frequencies results refer to and what analysis conclusions you can draw from these.
  2. Create a Simulink model to investigate the response of the system to expected road surface roughness and defects, like corrugations, potholes and speedbumps.
  3. Write a conclusion on your overall analysis above, for example: Is the suspension suitable? How could the suspension be changed to improve it? What future analysis or investigation is needed?

Section B – Control

QUESTION 3: Vibration Table

A vibration table in Figure 2, includes a hydraulic cylinder, a mass, a sensor and a controller. The table is resisted by a linear spring and viscous damping as shown. It is desired to vibrate the mass in a pure sinusoidal motion at an amplitude of +5mm and at frequencies from 0 to 10Hz. Use m = 100kg, k = 5000N/m, c = 1000 N.s/m.

Desired movement
and pump

Figure 2: Mass and controller

Develop a suitable model and PID controller for the system and model this in Simulink and analyse its performance.

  1. Demonstrate that the controller is able to produce the desired movement and comment on any limitations you may discover.
  2. Document how you determined the PID parameters.
  3. Discuss any PID values that failed to produce the desired movement.
  4. Determine force required from the hydraulic ram and the force on the damper and spring.
  5. Determine and discuss the stability of the control system.
  6. Demonstrate that your controller is capablable of two following design changes:
    1. The mass of the table is increased to 200kg
    2. The spring stiffness is doubled for the ranges (+4mm to +5mm) and ( -4mm to -5mm)
  7. Determine the new force required from the hydraulic ram and the force on the damper and spring due to the changes in part (f).

QUESTION 4: Cruise Control

Use Simulink to develop a suitable cruise controller for a loaded truck. The controller must be designed to adjust the engine power setting (i.e. fuel control) and provide braking control in over speed circumstances. Choose a truck to determine its mass, engine power, torque etc. Clearly specify the make and model of the truck used.

You will need to consider the effect of grades and propulsion resistance.

  • For grades consider that grades up to 1 in 12 are possible on roads.
  • For air and rolling resistance use: F = mg x 0.01 + 0.5 * 0.7 * 1.225 *A.V2 where m is in kg; V is speed in m/s, A is frontal area in m2.
  1. Demonstrate the robustness of your design with a test road containing both up and down grades as well as flat road
  2. Demonstrate the operation of the brake control.
  3. Provide a measure of the stability of the cruise control system.
  4. Comment on the disadvantages of your controller and possible improvements or investigations

Section C – Other Vibration Applications

QUESTION 5: Rotational and Linear Vibrating System For the mechanical system in Figure 3:

  1. Determine the equation of motion for the system*, calculate the free vibration response, forced vibration, critical damping* and Magnification Factor*. *Express in terms of J, m1, m2, k1, k2, c1, c2 and L. State and explain any assumptions you make.
  2. Select some values for the unknowns (clearly state these) and calculate/graph the values listed in part (a) of the question. Briefly comment on and explain what your results mean.
  3. Use a Simulink model to verify your results.

David Marks

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