PROBLEM 4:
Solution:
Given that,
θ2(s)/T(s) for the following rotational mechanical system Problem 4: Find the transfer function G(s) TO) N1...
Question 3 Find the transfer function, G(s) s) / T(s), for the rotational mechanical system in Fig. Q3 below. The gears have inertia and bearing friction as shown. (20 marks) 3 Nm/rad 2 Nms/rad + 1 kg/m? N3 = 100 N2 = 100 T(t) N4 = 20 N = 20 0.04 Nms/rad Fig. Q3
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl 6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...
1. Obtain the transfer function G(s)-20 Consider the system of Figure 1. Obtain the transfer function G (s) - of the system in Figure 1 (clearly show the derivation of the model) Question 1.(15) Consider the system of Figure T(s) TO) J1 2 kg-m D1 1 N-m-s/rad J2-1 kg-m2 D2 2 N-m-s/rad K = 64 N-m/rad J-16 kg-m2 D3 32 N-m-s/rad Figure 1 1. Obtain the transfer function G(s)-20 Consider the system of Figure 1. Obtain the transfer function G...
IL IULIUCI. (Q3) Consider below rotational mechanical system. Find the transfer function between 02(s) and T(s), that is find G(s) = 0; (5) T(s) en(t) T(t) 1) N1=20 W 1 N3=30 02(t) 450 kg.m? N2=100 225 N.m/rad --00004 Ny=90 5 N.m.s/rad 3 N.m.s/rad
translational rotational Example 5a: Write, but do not solve the equations of motion for the mechanical network of Figure 5a. 石 x20) K1 f(t) fv, Figure 5a 4/2019 ВЕКС 3533 Introduction to Control Systems Example 7: Write but do not solve, the Laplace transform of the equations of motion for the system shown in Figure 7. 6,(t) Di D2 D3 Figure 7 Example 8: Find the transfer function, θ2(s)/T(s), for the rotational mechanical system shown in Figure 8. 1 N-m/rad...
Determine the transfer function between the angular movement [deg] of inertia and applied torque [N.m].Jm 6 kg m2 N1-25 N3 10 T(t) t) B J0.5 kg m2 N2-15 Www k 2 Nm/rad N4 5 e(t) T(t) Jm 6 kg m2 N1-25 N3 10 T(t) t) B J0.5 kg m2 N2-15 Www k 2 Nm/rad N4 5 e(t) T(t)
Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer function G(s)-0s(s)/T(s). The gears have inertia and bearing friction as shown T(0) Ji. D N2 N3 2. D2 14. D
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
2) Find the transfer function for the following rotational system (25%) G(s) = 02(*)/T(s) TO I N-m-s/rad fo 1 kg-m? = 25 8.(1) N>= 50 + 0000 4 N-m/rad HHHH
Problem 2 Determine the transfer function 01(s)/M(s) for the shaft-gear mechanical system in the figure, where 1(s) and Ms) are the Laplace transforms of the angle 01(t) and of the moment m(t). Use the time-domain mathematical model of this system. Known are J1, ki, J2, c, k2, Ni and N2. N. 1000 0,m 0 000 N Problem 3 By using the transfer function 1(s)/Ms), determined in Problem 2, calculate and plot 01(t) using the step input command of MATLAB. Known...