c) Cutting forces should be kept constant during machining operations to prevent changes in spindle speeds or work position. Such changes would deteriorate the accuracy of the work’s dimensions. A control system is proposed to control the cutting force. The plant is difficult to model, since the factors that affect cutting force are time varying and not easily predicted. However, assuming the simplified force control model shown in Figure Q2(c). (i) Show the closed-loop transfer function for the system of the system as below K(s+3) T(s)= s* +7s° +14s² + (8+K)s+3K
c) Cutting forces should be kept constant during machining operations to prevent changes in spindle speeds or work position. Such changes would deteriorate the accuracy of the work’s dimensions. A control system is proposed to control the cutting force. The plant is difficult to model, since the factors that affect cutting force are time varying and not easily predicted. However, assuming the simplified force control model shown in Figure Q2(c). (i) Show the closed-loop transfer function for the system of the system as below K(s+3) T(s)= s* +7s° +14s² + (8+K)s+3K
Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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Question
(ii) Determine the range K to keep the system stable using the Routh-Hurwitz
criterion.
![(c) Cutting forces should be kept constant during machining operations to prevent changes
in spindle speeds or work position. Such changes would deteriorate the accuracy of the
work's dimensions. A control system is proposed to control the cutting force. The plant
is difficult to model, since the factors that affect cutting force are time varying and not
easily predicted. However, assuming the simplified force control model shown in
Figure Q2(c).
(i)
Show the closed-loop transfer function for the system of the system as below
K(s+3)
s* +7s³ +14s² + (8+K )s +3K
T(s)=-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d717893-3971-408c-90c8-d1bb2ad8909b%2F724be872-c9d2-48e3-bc10-19f5db845aa2%2Fwnfii8p_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Cutting forces should be kept constant during machining operations to prevent changes
in spindle speeds or work position. Such changes would deteriorate the accuracy of the
work's dimensions. A control system is proposed to control the cutting force. The plant
is difficult to model, since the factors that affect cutting force are time varying and not
easily predicted. However, assuming the simplified force control model shown in
Figure Q2(c).
(i)
Show the closed-loop transfer function for the system of the system as below
K(s+3)
s* +7s³ +14s² + (8+K )s +3K
T(s)=-
![R(s)
C(s)
K(s+3)
s (s + 1)(s+2)(s+4)
Figure Q2 (c)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d717893-3971-408c-90c8-d1bb2ad8909b%2F724be872-c9d2-48e3-bc10-19f5db845aa2%2Flqy2b_processed.png&w=3840&q=75)
Transcribed Image Text:R(s)
C(s)
K(s+3)
s (s + 1)(s+2)(s+4)
Figure Q2 (c)
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