CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Chapter 5, Problem 18RQ
Describe state-
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The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
A tensile specimen made of hot-rolled AISI 1020 steel is loaded to point corresponding to a strain of 43%.
60
Su = 66 ksi
Stress σ (ksi)
40 B
20
0
0
0
T
H
Sy = 39 ksi
Se = 36 ksi
Hot-rolled 1020 steel
F
10 20 30 40
50 60 70 80 90 100 110 120 130 140 150 160
Strain € (%)
T
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6
Area ratio R
0.1
0.2
0.3
0.4
0.5
Area reduction A,
What value of strain is applicable to this location?
0.6
Chapter 5 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
Ch. 5 - Prob. 1RQCh. 5 - Name three basic forms for interconnecting...Ch. 5 - For each of the forms in Question 2, state...Ch. 5 - Besides knowing the basic forms as discussed in...Ch. 5 - For a simple, second-order feedback control system...Ch. 5 - Prob. 6RQCh. 5 - Prob. 7RQCh. 5 - How are summing junctions shown on a signal-flow...Ch. 5 - If a forward path touched all closed loops, what...Ch. 5 - Name five representations of systems in state...
Ch. 5 - Prob. 11RQCh. 5 - Which form of the state-space representation leads...Ch. 5 - When the system matrix is diagonal, what...Ch. 5 - What terms lie along the diagonal for a system...Ch. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - For what kind of system would you use the observer...Ch. 5 - Describe state-vector transformations from the...Ch. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - Find the closed-loop transfer function, T(s) =...Ch. 5 - Find the equivalent transfer function, T(s) =...Ch. 5 - Reduce the system shown in Figure P5.4 to a single...Ch. 5 - Reduce the block diagram shown in Figure P5.6 to a...Ch. 5 - Find the unity feedback system that is equivalent...Ch. 5 - 8. Given the block diagram of a system shown in...Ch. 5 - 9. Reduce the block diagram shown in Figure P5.9...Ch. 5 - Reduce the block diagram shown in Figure P5.10 to...Ch. 5 - 11. For the system shown in Figure P5.11, find the...Ch. 5 - 12. For the system shown in Figure P5.12, find the...Ch. 5 - Prob. 13PCh. 5 - For the system of Figure P5.14, find the value of...Ch. 5 - 15. For the system shown in Figure P5.15, find K...Ch. 5 - For the system of Figure P5.16, find the values of...Ch. 5 - Find the following for the system shown in Figure...Ch. 5 - 18. For the system shown in Figure P5.18, find ,...Ch. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Find the transfer function G(s) = Eo(s)/T(s) for...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - State Space SS
24. Given the system below, draw a...Ch. 5 - Prob. 25PCh. 5 - Using Mason’s rule, find the transfer function,...Ch. 5 - Using Mason’s rule, find the transfer function,...Ch. 5 - Prob. 28PCh. 5 - Use block diagram reduction to find the transfer...Ch. 5 - State Space SS 30. Represent the following systems...Ch. 5 - Prob. 31PCh. 5 - State Space SS 32. Repeat Problem 31 and represent...Ch. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Repeat Problem 34 for the system shown in Figure...Ch. 5 - Prob. 37PCh. 5 - State Space SS 38. Consider the rotational...Ch. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - State Space SS
42. Consider the subsystems shown...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - State Space SS
45. Diagonalize the following...Ch. 5 - Prob. 46PCh. 5 - Prob. 48PCh. 5 - Prob. 51PCh. 5 - Figure P5.33 shows a noninverting operational...Ch. 5 - Figure P5.34 shows the diagram of au inverting...Ch. 5 - Prob. 54PCh. 5 - A car active suspension system adds an active...Ch. 5 - Prob. 58PCh. 5 - Prob. 60PCh. 5 - Some medical procedures require the insertion of a...Ch. 5 - Prob. 62PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - The purpose of an Automatic Voltage Regulator is...Ch. 5 - 68. Integrated circuits are manufactured through a...Ch. 5 - Prob. 69PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Assume ideal operational amplifiers in the circuit...Ch. 5 - Parabolic trough collector. Effective controller...
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- A tensile specimen made of hot-rolled AISI 1020 steel is loaded to point corresponding to a strain of 40%. 60 Su = 66 ksi Stress σ (ksi) S₁ = 39 ksi 40 Se = 36 ksi Hot-rolled 1020 steel 20 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 Strain € (%) 0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 Area ratio R 0.1 0.2 0.3 0.4 0.5 Area reduction A, What value of area ratio is applicable to this location? 0.6arrow_forwardA tensile specimen made of hot-rolled AISI 1020 steel is loaded to point corresponding to a strain of 43%. 60 Su = 66 ksi Stress σ (ksi) 20 Sy = 39 ksi Se = 36 ksi Hot-rolled 1020 steel F 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 Strain € (%) 0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 Area ratio R 0.1 0.2 0.3 0.4 0.5 Area reduction A, What value of area reduction is applicable to this location? 0.6arrow_forwardTable of Measurements and Results: Reading m/s Ji- a (wh Nu h Re Nu Error% (C) (°C) 2 1 Discussion: 1-Estimate the heat transfer and experimental value of the heat transfer coefficient hex with its unit and Nusselt number Nu expl 2- Find the percentage error for the value of the experimental Nusselt number. 3-Draw the graph showing a relationship between the temperatures difference (T-T) and theoretical and experimental value of Nusselt number. 4-The forced convection heat transfer coefficient of a plate depends on which of the following: a-gravity. b-velocity of fluid. e-conductivity of fluid. d-conductivity of plate material. Experiment: Internal Forced convenction Heat trovate on now through t objectives. Study the convection heat transfer of air flow through stage Calculations. Q & (T-T) Vary Re Q. heup A (TT) (T. Te-T ASPL Nep Re 117 RITT 14 ' 14arrow_forward
- If AE = 1.6 m, ED = CD = 1.9 m and F = 3.1 kN, then find the magnitude of the force acting in EB. B 30° 30° C E D ED m DC m ♥F KNarrow_forwardAssume multiple single degree of freedom systems with natural periods T ∈ [0.05, 2.00] seconds with in- crement of period dT = 0.05 seconds. Assume three cases of damping ratio: Case (A) ξ = 0%; Case (B) ξ = 2%; Case (C) ξ = 5%. The systems are initially at rest. Thus, the initial conditions are u(t = 0) = 0 and ̇u(t = 0) = 0. The systems are subjected to the base acceleration that was provided in the ElCentro.txt file (i.e., first column). For the systems in Case (A), Case (B), and Case (C) and for each natural period compute the peak acceleration, peak velocity, and peak displacement responses to the given base excitation. Please, use the Newmark method for β = 1/4 (average acceleration) to compute the responses. Create three plots with three lines in each plot. The first plot will have the peak accelerations in y-axis and the natural period of the system in x-axis. The second plot will have the peak velocities in y-axis and the natural period of the system in x-axis. The third plot…arrow_forwardDetermine the resultant stress at points P and Q.arrow_forward
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