2- A free body diagram (FBD) indicating the physical modeling of a passenger car suspension system...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
2- A free body diagram (FBD) indicating the physical modeling of a passenger car suspension system is given below. The suspension system of the car is modelled as a spring k and a viscous damper c acting in parallel as shown. Assume that you are working as a mechanical designer in a car company. You are expected to design a suspension system providing a comfortable ride when driving on a bumpy road equipped with unwanted disturbance. order to fix this problem, you should design the suspension system prototype based on the scenario of maximum displacement of tyre and vehicle body, seperately. As seen in the FBD, the mathematical model consists of two masses and two sets of springs and dampers in order to analyse the 1/4 of the entire car. Two 2nd order differential equations are used to determine the displacements (x and x2) of masses m (vehicle body) and m (tyre), respectively. k 1552 m, C1 m mi k C2 m2 F PTT 5m www m x = -S- G + F m x = S' + G-S - G - F In governing equations S,G and F represent spring force, damper force and net force acting on the system, respectively. The sinusoidal road profile is applied with the amplitude of the car driving along a wavy road with wavelength 5 m, and peak-to-peak amplitude of 240 mm through the traveling of the tyre. The initial conditions are assumed as X=0 for tyre and vehicle body. m m G. Write a Python program by "Runge Kutta-4th order Method" to calculate and print displacement of tyre and vehicle body with regards to time for two vehicle velocity cases of 10 m/s and 40 m/s. Plot a graph with two curves showing the behaviour of tyre and vehicle body displacement of the suspension system. The graph should include axis names (displacement and time), a title and solid curve style in red and brown colors. (50p) C 600 N/m 140 Ns/m 650 kg 620 N/m 380 Ns/m 150 kg 0,1 N The analysis will be limited in 30 seconds time interval. The time-step will be taken as 0,1 s. PTT 240 mm 2- A free body diagram (FBD) indicating the physical modeling of a passenger car suspension system is given below. The suspension system of the car is modelled as a spring k and a viscous damper c acting in parallel as shown. Assume that you are working as a mechanical designer in a car company. You are expected to design a suspension system providing a comfortable ride when driving on a bumpy road equipped with unwanted disturbance. order to fix this problem, you should design the suspension system prototype based on the scenario of maximum displacement of tyre and vehicle body, seperately. As seen in the FBD, the mathematical model consists of two masses and two sets of springs and dampers in order to analyse the 1/4 of the entire car. Two 2nd order differential equations are used to determine the displacements (x and x2) of masses m (vehicle body) and m (tyre), respectively. k 1552 m, C1 m mi k C2 m2 F PTT 5m www m x = -S- G + F m x = S' + G-S - G - F In governing equations S,G and F represent spring force, damper force and net force acting on the system, respectively. The sinusoidal road profile is applied with the amplitude of the car driving along a wavy road with wavelength 5 m, and peak-to-peak amplitude of 240 mm through the traveling of the tyre. The initial conditions are assumed as X=0 for tyre and vehicle body. m m G. Write a Python program by "Runge Kutta-4th order Method" to calculate and print displacement of tyre and vehicle body with regards to time for two vehicle velocity cases of 10 m/s and 40 m/s. Plot a graph with two curves showing the behaviour of tyre and vehicle body displacement of the suspension system. The graph should include axis names (displacement and time), a title and solid curve style in red and brown colors. (50p) C 600 N/m 140 Ns/m 650 kg 620 N/m 380 Ns/m 150 kg 0,1 N The analysis will be limited in 30 seconds time interval. The time-step will be taken as 0,1 s. PTT 240 mm
Expert Answer:
Answer rating: 100% (QA)
The question requires us to implement a numerical solution for a system of secondorder differential equations using the RungeKutta 4th order method Specifically well be analyzing a quartercar model wh... View the full answer
Related Book For
An Introduction To Mechanical Engineering
ISBN: 9781111576820
3rd Edition
Authors: Jonathan Wickert, Kemper Lewis
Posted Date:
Students also viewed these mechanical engineering questions
-
ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...
-
What problems could arise here, and how could they be overcome? [6 marks] 6 Numerical Analysis I (a) For Single Precision in the IEEE binary floating-point standard (IEEE 754) the precision is...
-
Peppers Lockdown produces keys for homes and cars. As Peppers is planning for next year's production, he decided to implement a high-low system to forecast future costs. With total production of...
-
Explain why intermediate goods and services usually are not included directly in GDP. Are there any circumstances under which they would be included directly?
-
Find the derivative of the function.
-
Mind & Motion entered into a real estate purchase contract (REPC) with Celtic Bank to buy a large piece of the banks foreclosed property. Although the county had approved plans to construct...
-
On July 1, 2013, Lula Plume created a new self-storage business, Safe Storage Co. The following transactions occurred during the companys first month. July 1 Plume invested $30,000 cash and buildings...
-
Externalities and the Environment Meyer describes the "Tragedy of the Commons." The IMF article explains how this type of problem is an example of an "externality." What is an externality? What might...
-
Rio Ferinand, the owner of Ferdinand Gold Mining, is evaluating a new gold mine in Fort McMurray. Paul Pogba, the company's geologist, has just finished his analysis of the mine site. He has...
-
a. Calculate the Reg- b. c. If 50 Vac is connected between a-b, calculate Ix. Recalculate the Reg if the conductor between 10 52 and 16 92 is Determine new Ix and current in 60 Q....
-
How does a company choose a CSR project when there are many options and needs? What type of project can help a company's business and marketing objectives? How should a business handle a project?...
-
Goodson (2016) states in exercise 42 picture, that when writing a research finding fifteen minutes at a time a week and putting on a timer or printout a list of your findings or results during each...
-
Read the method findMin() to understand its logic. (b) Fill in the method findMax() to find the largest number. It should look very similar to the find min() method. Test if it outputs the largest...
-
You have a client named Fiona. When you first started working with Fiona, you quickly developed a rapport with her and found that you were able to work effectively with her. However, recently, Fiona...
-
Discuss when and why participation should be used to improve leadership effectiveness. Also, explain the role of culture in the use of participative leadership. Cite your references.
-
Focuses on the internal environmental analysis and competitive advantage. What resources, technology, skill set of your staff, etc. does your organization have that give it a competitive edge, which...
-
What types of questions can be answered by analyzing financial statements?
-
A 6-m-high, 4-m-wide rectangular gate is located at the end of an open freshwater tank (Figure P6.6). The gate is hinged at the top and held in place by a force F. From Equation (6.4), the pressure...
-
Give three examples of engineered products that must be black in color.
-
A two-tier system to repair bridge infrastructures is supported by two steel cables for each platform (Figure P5.15). All the support cables have a diameter of 0.50 in. Assume the applied loads are...
-
The Captain of an interstellar photon-rocket spaceship wishes to maintain a constant acceleration \(a\) in the instantaneous rest-frame of the ship, since that would provide a constant effective...
-
Prove from Fermat's Principle that the angles of incidence and reflection are equal for light bouncing off a mirror. Use neither algebra nor calculus in your proof! (Hint: The result was proven by...
-
An ideal converging lens focusses light from a point object onto a point image. Consider only rays that are straight lines except when crossing an air-glass boundary, such as those shown in the...
Study smarter with the SolutionInn App