(Solved) : 3 Quarter Car Model See Figure 2 Consists Wheel Attachments Tire Visco Elastic Characteris Q37190898 . . .
Solve using MATLAB
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 xg, 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) bt(Ns/m) mw(kg) ks(kN/m) mc(k g) 135000 49.8 5700 466.5 Car Body Attaches Here Xc Wheel and Tire mc body Spring and Damper ox Wheel 200 w and tire Hub Assembl Figure 2: Quarter-car physical model a. Solve the quarter car model using Matlab function ode45 b. Use Matlab Simulink to solve the quarter-car physical model. For part a and b, plot the sprung mass’s displacement (xc versus time) and velocity (c versu ime) for bs [1000 1200 2000]Ns/m when the sprung mass is at 0.01 m underthe equilibr0.01. 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 xg, 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) bt(Ns/m) mw(kg) ks(kN/m) mc(k g) 135000 49.8 5700 466.5
Car Body Attaches Here Xc Wheel and Tire mc body Spring and Damper ox Wheel 200 w and tire Hub Assembl Figure 2: Quarter-car physical model a. Solve the quarter car model using Matlab function ode45 b. Use Matlab Simulink to solve the quarter-car physical model. For part a and b, plot the sprung mass’s displacement (xc versus time) and velocity (c versu ime) for bs [1000 1200 2000]Ns/m when the sprung mass is at 0.01 m underthe equilibr0.01.
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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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