(Solved) : 3 Quarter Car Model See Figure 2 Consists Wheel Attachments Tire Visco Elastic Characteris Q37262275 . . .
3. A quarter-car model (see Figure 2) consists of the wheel and its attachments, the tire (of visco-elastic characteristics), the suspension elements and quarter the chassis and its rigidly connected parts is shown below ( for the model’s parameters see Table 3). The dynamics of the model can be described by the following differential equations: Here, xe and xw are the displacements of the sprung and un-sprung mass, respectively. The ground profile ,xe, is assumed to be zero. Table 3: Quarter-car model parameters Parameter Description Tire stiffness Tire damping coefficient 1400 Un-sprung mass Suspension stuffiness Sprung mass Value kt(kN/m) b.(Ns/m) mw(kg) k, (kN/m) m.(k g) 135000 49.8 5700 466.5 Car Body Attaches Here Wheel and Tiree Car mc body Spring and Damper w and tire Hub Assembl Figure 2: Quarter-car physical model (15 pts.) Solve the quarter car model using Matlab function ode45. (15 pts.) Use Matlab Simulink to solve the quarter-car physical model. For part a and b, plot the sprung mass’s displacement (x versus time and velocity (c versus time, for b [1000 1200 2000]Ns/m when the sprung mass is at 0.01 m under the equilibrium point, xe(0) 0.0 a. b. Show transcribed image text 3. A quarter-car model (see Figure 2) consists of the wheel and its attachments, the tire (of visco-elastic characteristics), the suspension elements and quarter the chassis and its rigidly connected parts is shown below ( for the model’s parameters see Table 3). The dynamics of the model can be described by the following differential equations: Here, xe and xw are the displacements of the sprung and un-sprung mass, respectively. The ground profile ,xe, is assumed to be zero. Table 3: Quarter-car model parameters Parameter Description Tire stiffness Tire damping coefficient 1400 Un-sprung mass Suspension stuffiness Sprung mass Value kt(kN/m) b.(Ns/m) mw(kg) k, (kN/m) m.(k g) 135000 49.8 5700 466.5
Car Body Attaches Here Wheel and Tiree Car mc body Spring and Damper w and tire Hub Assembl Figure 2: Quarter-car physical model (15 pts.) Solve the quarter car model using Matlab function ode45. (15 pts.) Use Matlab Simulink to solve the quarter-car physical model. For part a and b, plot the sprung mass’s displacement (x versus time and velocity (c versus time, for b [1000 1200 2000]Ns/m when the sprung mass is at 0.01 m under the equilibrium point, xe(0) 0.0 a. b.
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Answer to 3. A quarter-car model (see Figure 2) consists of the wheel and its attachments, the tire (of visco-elastic characterist…
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