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04 where r is disturbance input and fs is control input. Use mb 300 kg, m 60 kg, b,-1000 N/m/s, k...
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are syste...
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems gains, determine the following: (a) Derive an expression for the error Eis) Rs)- C(s) in terms of R(s) and D(s) (b) What is the steady state error if R(s) and D(s) are both step inputs D(s) Cls) R(S) k, Kes
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
A 2 kg block is launched to the right by a spring with k=1000 N/m. The...
A 2 kg block is launched to the right by a spring with k=1000 N/m. The spring is initially compressed by 0.3 m and is not attached to the block. It slides across the table a distance of 0.2 m where is hits and sticks to a 4 kg block. The 4 kg block is right at the end of a second, initially uncompressed, 1000 N/m spring. Find the maximum compression of the second spring if the coefficient of friction...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT l. For the system shown in Figure 1, where mi=5 kg, m,-10 kg, ki=1000 N/m, k2-500 N/m, k, 2000 N/m, fi-100sin(15t) N and f-0, use modal analysis to determine...
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT l. For the system shown in Figure 1, where mi=5 kg, m,-10 kg, ki=1000 N/m, k2-500 N/m, k, 2000 N/m, fi-100sin(15t) N and f-0, use modal analysis to determine the amplitudes of masses m, and m2. The equations of motion are given as sin(15t), wth natura frequencies 5 01[i, 0 10 500-500x, 500 2500jx, x,[100 ω,-14.14 rad's and a, = 18.71 rad/s, and mode shapes, Φ',, and Φ' k, Im Figure 1
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT...
General Note: Always use Rwater = 1000 kg/m), g= 9.81 m/s", and Viwater. = 1*10-6 mº/s...
General Note: Always use Rwater = 1000 kg/m), g= 9.81 m/s", and Viwater. = 1*10-6 mº/s 1) For the given flow conditions in a horizontal rectangular channel: Q=4 m/s, n=0.014, channel width=2 m, the water depth at the control section A is 0.9 m, determine the approximate distance x from A to where the depth is 0.8 m. Fill the Table below and plot the water-surface profile. Show your calculations. (72 – yy)+(V? - V?)/2g Ax = V=-Ra's S.-S, 1...
please solve step by step Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m...
please solve step by step
Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m and the dise parameters are given as: a. R-25 cm b. T(thickness) 2.5cm c. P (density) 7850 kg/m Conduct the following: 1. Derive the governing equation for the system shown in Fig.2. and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (x(t) using suitable computer software (eg. Matlab,...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the r...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems gains, determine the following: (a) Derive an expression for the error Eis) Rs)- C(s) in terms of R(s) and D(s) (b) What is the steady state error if R(s) and D(s) are both step inputs D(s) Cls) R(S) k, Kes
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT l. For the system shown in Figure 1, where mi=5 kg, m,-10 kg, ki=1000 N/m, k2-500 N/m, k, 2000 N/m, fi-100sin(15t) N and f-0, use modal analysis to determine the amplitudes of masses m, and m2. The equations of motion are given as sin(15t), wth natura frequencies 5 01[i, 0 10 500-500x, 500 2500jx, x,[100 ω,-14.14 rad's and a, = 18.71 rad/s, and mode shapes, Φ',, and Φ' k, Im Figure 1
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT...
General Note: Always use Rwater = 1000 kg/m), g= 9.81 m/s", and Viwater. = 1*10-6 mº/s 1) For the given flow conditions in a horizontal rectangular channel: Q=4 m/s, n=0.014, channel width=2 m, the water depth at the control section A is 0.9 m, determine the approximate distance x from A to where the depth is 0.8 m. Fill the Table below and plot the water-surface profile. Show your calculations. (72 – yy)+(V? - V?)/2g Ax = V=-Ra's S.-S, 1...
please solve step by step
Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m and the dise parameters are given as: a. R-25 cm b. T(thickness) 2.5cm c. P (density) 7850 kg/m Conduct the following: 1. Derive the governing equation for the system shown in Fig.2. and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (x(t) using suitable computer software (eg. Matlab,...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
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