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Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circ...
A 2nd order dynamic system has a damping ratio, ζ = 0.5 andnatural frequency, ωn...
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Find the damping ratio, undamped natural frequency, damped natural frequency, peak time, 2% setting time, and...
Find the damping ratio, undamped natural frequency, damped natural frequency, peak time, 2% setting time, and the percentage overshoot for the following systems: a. G(s) = 16 52 +2s +16 b. G(s)=++8
Problem Consider a voltage amplifier having a frequency response of the low-pass STC 1ype with a de gain of 60 dB a...
Problem Consider a voltage amplifier having a frequency response of the low-pass STC 1ype with a de gain of 60 dB and a 3-dB frequency of 1000 Hz Find the gain in dB at f- 10 Hz, 10kHz, 100 kHz, and 1 MHz Problem For the circuit shown below first, evalusteand the coresponding comer froquency. Second evalmt and the corresponding comer froquency. At the end caloulate overall transfer function T(w)= and reurite it in the standard fom ( and draw...
b) Given a second order system with the following open loop transfer function where damping ratio,...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
III. For each given transfer function below 1) Find damping factor ς, natural frequency w , Settling Time Ts, Rise time Tr and Percent Overshoot P.O Confirm results with Matlab 240 3s2+12s 240 GOD 4s...
III. For each given transfer function below 1) Find damping factor ς, natural frequency w , Settling Time Ts, Rise time Tr and Percent Overshoot P.O Confirm results with Matlab 240 3s2+12s 240 GOD 4s2 +24s 600) 125 a)T)+24s+600) e) T3)+0.0s + 125) T2(s)= b)
III. For each given transfer function below 1) Find damping factor ς, natural frequency w , Settling Time Ts, Rise time Tr and Percent Overshoot P.O Confirm results with Matlab 240 3s2+12s 240 GOD 4s2...
Problem-4: Find a) the transfer function using “Direct Method” if the input is e(t) and the...
Problem-4: Find a) the transfer function using “Direct Method” if the input is e(t) and the output is eo. For parts b and c, take C = R=1. b) If e(t) = 15, use FVT (if applicable), to determine the steady state value of the zero-state response [(eo)zs]ss. c) If ei(t) = 3cos(2t + 7/3), find steady state response, (eo)ss. * Tivhinois eo Сео
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R...
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R and L values to make the natural frequency 8 rad/sec and the damping ratio 0.75 if C-0.01F a 2 Vi R.
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
For the system shown below, find a) the modeling equation in x; b) natural frequency; c)...
For the system shown below, find a) the modeling equation in x; b) natural frequency; c) damping ratio; d) frequency ratio; e) Magnification factor and f) Steady-state amplitude. M, sin or m = 10 kg 1 = 0.1 kg-m = 10 cm k = 1.6 x 10 **640 N. M = 2 zie " * = 180 rad
A single dof vibration system, modeled by a mass of 50 kg, damping coefficient of 300...
A single dof vibration system, modeled by a mass of 50 kg, damping coefficient of 300 Ns/m, and spring constant of 5000 N/m, is subjected to periodic displacement excitation u(t) as shown in the figure below. 1. Derive the equation of motion 2. Using Laplace transform, find characteristic equation. 3. Find the undamped and damped natural frequencies. 4. Find the damping ratio. 5. Find the transfer function of output x(t) to the periodic input u(t) using Laplace transform.
A 2nd order dynamic system has a damping ratio, ζ = 0.5 and
natural frequency, ωn = 8 rad/s. The transfer
gain is K = 2. There are no zeros of the system. If the
general response to an impulse input has the form:h(t) =e(–ωnζt)[Asin(ωdt)
+ Bcos(ωdt)]; whereωd is the damped frequency. Find damped natural
frequency (ωd), value of constants A and B. Hint: To find A and B, find h(t) using “Transfer Function Property” and
compare it with the given expression...
Find the damping ratio, undamped natural frequency, damped natural frequency, peak time, 2% setting time, and the percentage overshoot for the following systems: a. G(s) = 16 52 +2s +16 b. G(s)=++8
Problem Consider a voltage amplifier having a frequency response of the low-pass STC 1ype with a de gain of 60 dB and a 3-dB frequency of 1000 Hz Find the gain in dB at f- 10 Hz, 10kHz, 100 kHz, and 1 MHz Problem For the circuit shown below first, evalusteand the coresponding comer froquency. Second evalmt and the corresponding comer froquency. At the end caloulate overall transfer function T(w)= and reurite it in the standard fom ( and draw...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
III. For each given transfer function below 1) Find damping factor ς, natural frequency w , Settling Time Ts, Rise time Tr and Percent Overshoot P.O Confirm results with Matlab 240 3s2+12s 240 GOD 4s2 +24s 600) 125 a)T)+24s+600) e) T3)+0.0s + 125) T2(s)= b)
III. For each given transfer function below 1) Find damping factor ς, natural frequency w , Settling Time Ts, Rise time Tr and Percent Overshoot P.O Confirm results with Matlab 240 3s2+12s 240 GOD 4s2...
Problem-4: Find a) the transfer function using “Direct Method” if the input is e(t) and the output is eo. For parts b and c, take C = R=1. b) If e(t) = 15, use FVT (if applicable), to determine the steady state value of the zero-state response [(eo)zs]ss. c) If ei(t) = 3cos(2t + 7/3), find steady state response, (eo)ss. * Tivhinois eo Сео
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R and L values to make the natural frequency 8 rad/sec and the damping ratio 0.75 if C-0.01F a 2 Vi R.
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
For the system shown below, find a) the modeling equation in x; b) natural frequency; c) damping ratio; d) frequency ratio; e) Magnification factor and f) Steady-state amplitude. M, sin or m = 10 kg 1 = 0.1 kg-m = 10 cm k = 1.6 x 10 **640 N. M = 2 zie " * = 180 rad
A single dof vibration system, modeled by a mass of 50 kg, damping coefficient of 300 Ns/m, and spring constant of 5000 N/m, is subjected to periodic displacement excitation u(t) as shown in the figure below. 1. Derive the equation of motion 2. Using Laplace transform, find characteristic equation. 3. Find the undamped and damped natural frequencies. 4. Find the damping ratio. 5. Find the transfer function of output x(t) to the periodic input u(t) using Laplace transform.
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