Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 25, Problem 5RQ
What are the differences between forced and self-excited vibration?
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find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
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0 a
2a 3a 4a
13)
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Ans. F(s)=
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14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Auto Controls
A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
NO COPIED SOLUTIONS
Chapter 25 Solutions
Manufacturing Engineering & Technology
Ch. 25 - Describe the distinctive features of machining...Ch. 25 - Explain how the tooling system in a machining...Ch. 25 - Explain the trends in materials used for...Ch. 25 - Is there any difference between chatter and...Ch. 25 - What are the differences between forced and...Ch. 25 - Explain the importance of foundations in...Ch. 25 - Explain why automated pallet changers and...Ch. 25 - What types of materials are machine-tool bases...Ch. 25 - What is meant by the modular construction of...Ch. 25 - What is a hexapod? What are its advantages?
Ch. 25 - What factors contribute to costs in machining...Ch. 25 - List the reasons that temperature is important in...Ch. 25 - Explain the technical and economic factors that...Ch. 25 - Spindle speeds in machining centers vary over a...Ch. 25 - Explain the importance of stiffness and damping of...Ch. 25 - Are there machining operations described in...Ch. 25 - How important is the control of cutting-fluid...Ch. 25 - Review Fig. 25.10 on modular machining centers,...Ch. 25 - Prob. 19QLPCh. 25 - Describe the adverse effects of vibration and...Ch. 25 - Describe some specific situations in which thermal...Ch. 25 - Prob. 22QLPCh. 25 - Prob. 23QLPCh. 25 - Prob. 24QLPCh. 25 - List the parameters that influence the temperature...Ch. 25 - List and explain factors that contribute to poor...Ch. 25 - Prob. 27QLPCh. 25 - Prob. 28QLPCh. 25 - Describe types and sizes of workpieces that would...Ch. 25 - Prob. 30QLPCh. 25 - Explain the advantages and disadvantages of...Ch. 25 - What are the advantages and disadvantages of (a)...Ch. 25 - What would be the advantages and limitations of...Ch. 25 - Explain how you would go about reducing each of...Ch. 25 - Describe workpieces that would not be suitable for...Ch. 25 - Give examples of forced vibration or self-excited...Ch. 25 - A machining-center spindle and tool extend 10 in....Ch. 25 - Using the data given in the example, estimate the...Ch. 25 - A machining-center spindle and tool extend 12 in....Ch. 25 - In the production of a machined valve, the labor...Ch. 25 - Estimate the optimum cutting speed in Problem...Ch. 25 - Prob. 42QTPCh. 25 - If you were the chief engineer in charge of the...Ch. 25 - Prob. 45SDPCh. 25 - Make a list of components of machine tools that...Ch. 25 - The cost of machining and turning centers is...Ch. 25 - Prob. 49SDPCh. 25 - Describe your thoughts on whether or not it is...Ch. 25 - Prob. 51SDPCh. 25 - Prob. 53SDP
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- Auto Controls A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain i. for K = 1 , derive the exact magnitude and phase expressions of G(jw). ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities. iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin) iv. what happens to the gain margin and Phase margin when you increase the value of K?you You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus NO COPIED SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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