Function Generation

1
Function Generation
2
Function Generator Equations
3
Function Generation Example
4
Function Generation (cont)
5
Function Generation (cont)
6
Function Generation (cont)
7
Function Generation (cont)
8
Multi-Loop Synthesis
9
Three Loops
10
Alternate For Last 2 Loops
11
Ground Pivot Specification
12
Basic Equations
13
Condition For Solution
14
Equation Development
15
Simplification
16
Further Development
17
Scalar Equations
18
Solutions
19
Final Results
20
(No Transcript)
21
Function Generation
22
Freudensteins Equation
23
Eliminate Q3
24
Simplify Equation
25
For Three Positions
26
Final Result
27
Function Generation
28
Loop Closure Technique
29
Three Precision Points
30
Solution
31
Solution (cont)
32
Solution (cont)
33
Solution (cont)
34
Example
35
Loop Closure-Slider Crank
Z
3
f
j
Z
2
g
Z
j
4
Z
1
x
j
r
Z
1
j
36
Slider-Crank Equations
37
For Three Positions
38
For Function Generation
39
Solution For Z2
40
Solution For Z3
41
Solution For Z4
42
Example
43
Results
44
Order Synthesis
45
Equations
46
Simplify Equations
47
Solution
48
Solution (cont)
49
Example Problem
50
Final Results