Question

4.9. Draw a Simulink diagram to represent the system shown in Example 4.3. Plot x, and x2 for the first 50 seconds when the applied force fal increases from 0 to 10 N at t = 1 s. The parameter values are M1 = M2 = 10 kg, B = 20 Ns/m, and Ki = K2 = 10 N/m. *4.10. Draw a Simulink diagram to represent the system shown in Example 4.4. Plot the first 10 seconds of the response when the applied force fat increases from 0 to 10 N at t = 1 s. Let M1 = M2 = 10 kg, B1 = B2 =B3 = 20 N.s/m, and Ki = K2 = K3 = 10 N/m. Plot the displacements Xi and x2 on the same axes.

Answer 1

4th order unknown considered mechanical displacement In the modelling of system. The o two x, & az apro are į » pet order di fh of derivative an a de 321_7 ܢܙܠ ܐ ¢ ,ܬ݁ bo f-Body fixy + faf x4 + Big + ky x] My = f face) – B3z + Băi, – ko te thote By connecting an integrator in series we ean lower the order of the derivative and hence can find à from & and followed by x, from

Hence the MATLAB will be based on se & a. Block diagram the equations of - (x) et Bxi B KitK2 & K + K2 in As given B: 20 NS Im k example M, - M2=100g , = R, = 10 nim Xi : -20x - 200, t 20x2 + 20 x₂ 7 10 X2 : loxit 10x, [ fa (X) - 20x2 + 20%, 10 given the matteb block Also diagram.