Automobile Suspension- Control - Other Vibration Applications - Automobile Suspension Assignment Help

Internal Code : 3EIB

Modeling Assignment Help

TASK1 Approximate the selected vehicle as a 1DOF system and analyse the system using theoretical calculations, Matlab commands/scripts and compare with a simulink model: a)For free vibration. b)For forced vibration. c) The response of the vehicle to typical road surface and possible road conditions you mayencounter when driving in your town. d) Include in your Simulink model suitable non-linearity’s and write a paragraph and/or show howor if these will affect the previous analysis. e) Expand on and discuss your results highlighting the findings from your analysis. f) Include a conclusion to summarise the key findings and recommendations from the analysis. TASK2 For the roller mechanism in Figure 3: a) Determine the possible number of degrees of freedom in the system. Explain what assumptionsyou need to make if you wish to model it as a 1 DOF system. b) Develop the equation of motion for the 1 DOF system*, determine the free vibration response,forced vibration, critical damping* and Magnification Factor*. *Express in terms of J, m1, m2,k1, k2, c1, c2, r and R. State and explain any assumptions you make. c) Select some values for the unknowns (clearly state these) and calculate/graph the values listedin part (b) of the question. Briefly comment on/explain what your results mean. d) You can use a Simulink model to verify your theoretical results. TASK3 A test rig to test the durability of equipment is shown in Figure 2. It includes a hydraulic ram to movethe test equipment. The ram is controlled by a controller and powered by a hydraulic pump. The ramcan apply force in both upwards and downwards directions. The vertical displacement is measured by adisplacement sensor in the ram. The platform is resisted by a two linear springs and has viscousdamping applied at the rollers as shown. It is desired to vibrate the equipment in a pure sinusoidalmotion at an amplitude of +4mm in the frequency range from 1 to 8Hz.Use: mcombined = 110kg, k = 5500N/m, c = 1100 N.s/m. Create a suitable Simulink model and PID controller for the rig and analyse its performance. a)emonstrate that the controller can produce the required movement and comment on anym limitations you may discover. b) Document how you determined the PID parameters. c) Discuss any PID values that failed to produce the desired movement. d) Determine maximum force required from the hydraulic ram. e) Set the value determined in d) as the maximum force the ram can provide and modify your Simulink model accordingly to do the remaining parts. f) Determine and discuss the stability and bandwidth of the system. g) Demonstrate the effect on the system if: i. The mass of the test equipment is increased by 90kg ii. The spring stiffness is doubled