Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 13, Problem 2RQ
Name three advantages of using digital computers in the loop.
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The worktable of a CNC machine tool is driven by a closed-loop positioning system that consists of a servomotor, ball screw, and optical encoder. The screw has 4 threads/in and is coupled directly to the motor shaft (gear ratio = 1:1). The optical encoder generates 180 pulses per motor revolution. The table is programmed to move a distance = 6.0 in at a feed rate = 25.0 in/min. (a) How many pulses are received by the control system to verify that the table has moved the programmed distance? Determine (b) the pulse rate and (c) motor speed that correspond to the specified feed rate.
Chapter 13 Solutions
Control Systems Engineering
Ch. 13 - Prob. 1RQCh. 13 - Name three advantages of using digital computers...Ch. 13 - Name two important considerations in...Ch. 13 - Prob. 4RQCh. 13 - Prob. 5RQCh. 13 - Prob. 6RQCh. 13 - Prob. 7RQCh. 13 - 8. What method for finding the inverse z-transform...Ch. 13 - What method for finding the inverse z-transform...Ch. 13 - In order to find the z-transform of a G(s), what...
Ch. 13 - Prob. 11RQCh. 13 - Prob. 12RQCh. 13 - Prob. 13RQCh. 13 - Prob. 14RQCh. 13 - Prob. 15RQCh. 13 - Prob. 16RQCh. 13 - Prob. 17RQCh. 13 - Prob. 18RQCh. 13 - Prob. 19RQCh. 13 - Prob. 20RQCh. 13 - Prob. 21RQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 17PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40P
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- 7) Obtain a kinematic diagram (schematic view) equivalent to the following mechanisms and their degree of freedom.arrow_forwardThe worktable of a numerical control machine tool is driven by a closed-loop positioning system which consists of a servomotor, leadscrew, and optical encoder. The leadscrew has a pitch of 0.25 in/rev and is coupled directly to the motor shaft. The optical encoder generates 200 pulse/rev. The table has been programmed to move a distance of 7.5 in at a feed rate=20 in/min. (a) How many pulses are received by the control system to verify that the table has moved the programmed distance? What are (b) the pulse rate and (c) motor speed that correspond to the specified feed rate?arrow_forwardWeight Ple Figure 4: Schematic of a pile driver f(t) m+bv=f(1) m by 3 X pile Figure 5: First-order model of the pile in soil 5. Figure 4 shows a pile driver that is used to drive piles into soil to provide foundation support for buildings. Two major components of a pile driver are a pile and a weight. The pile is in the form of a long rod going into the soil. The weight is to impact the pile at the top with an impulsive force, thus driving the pile into the soil. Figure 5 shows a first-order model of the pile in the soil. The impulsive force produced by the weight is f(t). The resistance of the soil is modeled via a viscous damping coefficient. b. The weight of the pile is balanced by the normal forces in the soil, so it does not need to be considered. In addition, the elasticity of the soil is ignored. Let z(t) and v(t) be the downward displacement and velocity of the pile, respectively. The equation of motion governing the pile velocity v(t) is dv (5) where m is the mass of the pile.…arrow_forward
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- A milling operation is performed on an NC machining center. Total travel distance L= 300 mm in a direction parallel to one of the axes of the worktable. Cutting speed = 1.25 m/s and chip load = 0.05 mm. The end milling cutter has four teeth and its diameter = 20 mm. The axis uses a DC servomotor whose output shaft is coupled to a leadscrew with pitch = 6 mm/rev. The feedback sensing device connected to the leadscrew is an optical encoder that emits 250 pulse/rev. Determine (a) feed rate and time to complete the cut along the travel distance L, and (b) rotational speed of the motor and the pulse rate of the encoder at the feed rate indicated.arrow_forwardB. Use your own words to describe the method to derive the A-matrix that represents each joint of the SCARA robot above?(Hint: Use your own symbols for joint parameters and links’ lengths).C.Arrange the A-matrices described in part (B) in the correct order necessary to derive the kinematic matrix that defines the motion of the end-effector of the SCARA robot?arrow_forwardExplain the difference between forward and inverse kinematics problems.Using geometrical relations derive the forward kinematics of the manipulatorarrow_forward
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