bearing
gear
shaft
spring
bolts
Outline
role of springs (p. 3)
design considerations (p. 4)
introduction of springs (types) (p. 5~10)
stress in springs (p. 11~15)
spring index & curvature impact (p. 1
Fatigue Analysis
For bending and torsion loads, the trend of the size factor data is given by
Applies only for round, rotating diameter
For axial load, there is no size effect, so kb = 1
Only to be us
Introduction
Machine Design has been one of my favorite courses that I have taken at Missouri S&T thus far and
when this bonus homework was assigned I knew I wanted to give it a shot. One of the thing
How to Plot Stress vs. Strain
1. First obtain the values of engineering stress & strain and true stress & strain. From here, enter each set
of data points in Excel with their respective titles. (As sh
AE 5361 Homework #4
(100 points)
1. Consider the system depicted below.
D(s)
E(s)
R(s)
1
s(s + 1)
K + 11s
Y (s)
Y (s) = G(s) [D(s) + Gc (s) (R(s) Y (s)]
= Gc (s)G(s)R(s) + G(s)D(s) Gc (s)G(s)Y (s)
Y (
AE 5361 Homework #9
(100 points)
Name:
Instructions:
Use this cover sheet when submitting your homework solutions.
Use only one side of the paper for your solutions.
Present your work in an organiz
AE 5361 Homework #1
(100 points)
1. For each of the following functions, determine the poles and zeros, and find the magnitude and phase
of each function at s = 1 j.
F1 (s) =
s2
s+1
+s+1
F1 (s) has on
AE 5361 Homework #2
(100 points)
1. Plot the pole-zero maps using Matlab (you can use the pzmap function) for the following
functions:
s+1
+s+1
6s + 3
F2 (s) =
s2
6(s2 + 2)
F3 (s) =
s(s2 + 2s + 5)
s+3
AE 5361 Homework #4
(100 points)
1. Consider the system depicted below.
D(s)
E(s)
R(s)
1
s(s + 1)
K + 11s
Y (s)
(a) Compute the closed-loop transfer function T (s) = Y (s)/R(s).
T
(b) Determine the se
AE 5361 Homework #6
(100 points)
1. Design, using the first method of Ziegler and Nichols, a controller, Gc (s), for the system
R(s)
1
(s + 6)(s + 10)(s2 + 20s + 100)
Gc (s)
Y (s)
such that you meet t
AE 5361: Flight Dynamics - Stability and Control
Tuning Rules
Ziegler-Nichols Rules
First Method
Ziegler and Nichols conducted numerous experiments and proposed rules
for determining K, Ti , and Td (o
AE 5361 Homework #5
(100 points)
1. A second-order control system has the closed-loop transfer function T (s) = Y (s)/R(s). The system
specifications for a step input are
Percent Overshoot: P.O. 10%
AE 5361 Homework #6
(100 points)
Name:
Instructions:
1. Use this cover sheet when submitting your homework solutions.
2. Use only one side of the paper for your solutions.
3. Present your work in an o
AE 5361 Homework #2
(100 points)
1. Plot the pole-zero maps using Matlab (you can use the pzmap function) for the following functions:
s+1
+s+1
6s + 3
F2 (s) =
s2
6(s2 + 2)
F3 (s) =
s(s2 + 2s + 5)
s+3
AE 5361 Homework #7
(100 points)
1. For the following polynomials, classify the stability of the polynomial using the Routh-Hurwitz method.
If the polynomial is not stable, comment on the number of ro
AE 5361 Homework #5
(100 points)
Name:
Instructions:
1. Use this cover sheet when submitting your homework solutions.
2. Use only one side of the paper for your solutions.
3. Present your work in an o
AE 5361 Homework #3
(100 points)
1. A block diagram for a control problem representing a Space Shuttle docking problem is given below.
E(s)
R(s)
U (s)
G(s)
K
Y (s)
H(s)
X(s)
The controller in this pro
AE 5361 Homework #3
(100 points)
1. A block diagram for a control problem representing a Space Shuttle docking problem is given below.
E(s)
R(s)
U (s)
K
G(s)
Y (s)
H(s)
X(s)
The controller in this pro
AE 5361 Homework #1
(100 points)
1. For each of the following functions, determine the poles and zeros, and find the magnitude
and phase of each function at s = 1 j.
s+1
s2 + s + 1
6(s2 + 2)
F3 (s) =
AE 5361 Homework #7
(100 points)
Name:
Instructions:
Use this cover sheet when submitting your homework solutions.
Use only one side of the paper for your solutions.
Present your work in an organiz
AE 5361 Homework #8
(100 points)
Name:
Instructions:
Use this cover sheet when submitting your homework solutions.
Use only one side of the paper for your solutions.
Present your work in an organiz
Max. Value
Min. Value
Complexity
Safety
Cost
Efficiency
Total
Average
Best Score
Worst Score
Average
Importance
Raw
Weighted
5 N/A
1 N/A
3
0.2
5 0.333333
3
0.2
4 0.266667
15
1
3.75
67.05%
53.57%
62.30
E
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A
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A
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OUTLINE
Slide three contains a picture of
the switch that we will model ours
after.
Slide four co
ME 3525: Homework 1 Solution
1.
d 2T
0
dx 2
dT
c1
T x c1 x c2
dx
T x 0 T1 c2
dT
dx
h T T2
xL
kc1 hLc1
T x
2.
k
h T2 T1
k
h T2 T1
k k hL
h c1L T1 T2
c1
k
h T2 T1
k k hL
x T1
d 2T
q 0
dx 2
d
ME 3703 (13), Exam 2, March 31, 2015
Olg Name; 113.112,. Cm Class ID: 119'
1. (20%)
A part is being analyzed for static failure. Three potentially critical stress elements are identied.
120 M93
Name: 1&1 LL- @014:
ME 3708 (B)
Exam 1, Feb. 26, 2015
(a) Sketch a Mohrs circle diagram (8%)
(b) Calculate the two principal stresses and the maximum shear stress (01, 0'2, tmax) (12%)
, Oar-93:;-
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