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A MECHANISM FOR
IPAD WEIGHT SCALE
ME492 Engineering Project Presentation
DORUK ANGUN
Dept. Of Mechanical Engineering
Yeditepe University, ISTANBUL
Adviser: Asst. Prof. Namık Cıblak
Outline
 The Need and the Statement of the Problem
 The Objective & The Scope
 Literature Survey
 Preliminary Design Alternatives
 Detailed Design
 Conclusion
 References
02/06/15YEDITEPE UNI./ ISTANBUL
2
The Need and the Statement of the Problem
 People want IPAD to
do multiple tasks.
 Weighing an object
is a common thing
to do.
 There is a demand
for IPAD weight
scale.
 Weighing by using
the position change
of the slider.
Definition of the Need Statement of the Problem
02/06/15YEDITEPE UNI./ ISTANBUL
3
The Objectives & The Scopes
 Low cost
 Accurate
 Precise
 Compact size
 Ease of installation
 Esthetic look
 Jewel bearing
 Registering a touch
 Harmless to IPAD
 Using the screen as
much as possible.
Objectives Scopes
02/06/15YEDITEPE UNI./ ISTANBUL
4
Literature Survey
Parallelogram Linkage
 Consists of two identical
cranks fixed with a
distance between.
 Four straight sides.
 Opposing sides, parallel
and same length.
02/06/15YEDITEPE UNI./ ISTANBUL
5
Literature Survey
Slider-Crank
Mechanism
 Converts rotational
motion in to translational
motion.
 Consists of a rotating
driving beam, a
connection rod and a
sliding body.
02/06/15YEDITEPE UNI./ ISTANBUL
6
Literature Survey
Capacitive
Touchscreen
 IPAD 2 has a capacitive
touchscreen.
 In capacitive
touchscreens, there is
an insulator such as
glass coated with
indium tin oxide as
conductor.
 Touching, distortion in
the electrostatic field,
determining where the
body is touching. 02/06/15YEDITEPE UNI./ ISTANBUL
7
Preliminary Design Alternatives
Involute Mechanism
Slider-crank
mechanism
with guided stylus
Parallelogram with
Slider-crank
mechanism
02/06/15YEDITEPE UNI./ ISTANBUL
8
Mechanism Ideas
Preliminary Design Alternatives
Battery-Powered Stylus Jointed Stylus Stylus with Wheel
02/06/15YEDITEPE UNI./ ISTANBUL
9
Stylus Ideas
Preliminary Design Alternatives
0
10
20
30
40
50
60
Involute
mechanism
Slider-crank
mechanism
with guided
stylus
Parallelogram
with slider-
crank
mechanism
%
Mechanism
Series1
0
10
20
30
40
50
60
Battery
powered
stylus
Jointed stylus Stylus with
wheel
%
Stylus (slider)
Series1
02/06/15YEDITEPE UNI./ ISTANBUL
10
Detailed Design
Parallelogram with Slider Crank Mechanism + Stylus With Wheel
+Weight Top part goes downExtension spring extends Slider goes forward
-WeightExtension spring relaxesTop part goes upSlider goes back
02/06/15YEDITEPE UNI./ ISTANBUL
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Detailed Design
Analysis
FBD of Crank FBD of Slider FBD of Top
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Detailed Design
Numerical Implementation
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Detailed Design
MATLAB Calculations
Inputs
“1” represents the weight holder, “2” represents the crank and “3”
represents the slider.
 Masses (kg)
m1=0.137, m2=0.172 , m3=0.086
 Link Lengths (m)
r1=0.11, r2=0.15, r3=0.15
 Connection points (m)
Length of the spring holder a=0.25*r2,
Distance between spring holder and the top of the link c=0.9*r2
 Target mass range (kg)
W∈ [0; 0.427,5]
 Target θ range (degrees)
θ∈ [75; 15]
02/06/15YEDITEPE UNI./ ISTANBUL
14
Detailed Design
MATLAB Calculations
Outputs
 k = 664.2478 N/m
 L0 = 0.0752 m
02/06/15YEDITEPE UNI./ ISTANBUL
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Detailed Design
Mass vs. Theta Slider Position vs. Mass
02/06/15YEDITEPE UNI./ ISTANBUL
16
Detailed Design
3D Modelling of the Design
7 parts
 Jewel (pivot hole)
 Pin
 Link
 Spring holders
 Base
 Top (weight holder)
02/06/15YEDITEPE UNI./ ISTANBUL
17
Detailed Design
3D Modelling of the Design
Jewel Bearing
Torus shape hole
(bigger diameter)
+
Shaft
(smaller diameter)
Minimum fricition, better
than other bearings.
02/06/15YEDITEPE UNI./ ISTANBUL
18
Detailed Design
Manufacturing Process
02/06/15YEDITEPE UNI./ ISTANBUL
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Detailed Design
Manufacturing Process
02/06/15YEDITEPE UNI./ ISTANBUL
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Detailed Design
 k=664.2478 N/m (MATLAB)
 L0=0.0752 m (MATLAB)
 d= 1 mm (design criteria)
 D=5.85 mm ( )
 C= 5.8499 ( )
NOT APPLICABLE
(ADJUSTING IS DIFFICULT)
 k=35.5 N/m (easy to adjust)
 Adjustable hook (adjustable
L0)
02/06/15
21
YEDITEPE UNI./ ISTANBUL
Extension Spring Rubber Band
Spring Design
Detailed Design
Final Design
02/06/15YEDITEPE UNI./ ISTANBUL
22
Detailed Design
Experimental Results
02/06/15YEDITEPE UNI./ ISTANBUL
23
Location Location Location Location Location Location Location Location
77,5 g 127,5 g 177,5 g 227,5 g 277,5 g 327,5 g 377,5 g 427,5 g
6 43 52 101 125 182 247 388
6 42 55 101 122 182 256 391
6 42 55 101 125 182 259 387
4 41 54 102 129 188 260 411
4 41 57 104 125 183 265 437
4 42 58 97 125 186 266 417
4 42 57 96 125 193 276 413
4 42 57 100 126 184 282 413
4 40 57 103 129 191 267 408
4 42 57 100 127 183 271 418
Mass(g) Location
77,5 4,6
127,5 41,7
177,5 55,9
227,5 100,5
277,5 125,8
327,5 185,4
377,5 264,9
427,5 408,3
Detailed Design
Experimental Results
02/06/15YEDITEPE UNI./ ISTANBUL
24
y = 3E-06x3 - 0.0044x2 + 2.1309x + 62.128
R² = 0.99474
0
50
100
150
200
250
300
350
400
450
0 100 200 300 400 500
Mass(g)
Slider Position (pixels)
Series1
Poly. (Series1)
Detailed Design
Experimental Results
02/06/15YEDITEPE UNI./ ISTANBUL
25
Position Weight (g) Average (g) Accuracy (%) Accuracy (AVG %) Precision (g)
101 235,555403 234,868503 3,540836484 3,238902549 10,727584
101 235,555403 234,868503 3,540836484
101 235,555403 234,868503 3,540836484
102 236,885824 234,868503 4,125636923
104 239,525792 234,868503 5,286062418
97 230,163719 234,868503 1,170865495
96 228,798208 234,868503 0,570640879
100 234,218 234,868503 2,952967033
103 238,209281 234,868503 4,707376264
100 234,218 234,868503 2,952967033
Conclusion
In this project
A working mechanism for IPAD weight scale is created by
 Selecting its design among preliminary design ideas.
 Applying a load analysis by using MATLAB.
 3D Modeling and assembling its parts on SOLIDWORKS.
 Manufacturing its parts.
 Calibrating it by conducting experiments.
Total Weight =823.71 grams
Dimensions=200mm*150mm*25mm
Capacity= 427,5 grams
Accuracy=+-3.25 grams
Precision= 10.73 grams
Total Cost= 450 TL
02/06/15YEDITEPE UNI./ ISTANBUL
26
References
 [1] Tian, Y., Yao, Y.-A., Wei, X., Joneja, A. “Sliding-crawling
parallelogram mechanism” (2014)
 [2] H. Jiguang, Z. Chuanyan, Z. Weiyang, “Slider Crank
Mechanism Design with Time Ratio and Minimum
Transmission Angle” (2014)
 [3] G. E. Burnett, D. R. Large, G. Lawson, S. De-Kremer, L.
Skrypchuk “A comparison of resistive and capacitive
touchscreens for use within vehicles” (2013)
 [4] UBC. (n.d.). Stretching of Rubber Bands. Retrieved
from
http://c21.phas.ubc.ca/sites/default/files/rubber_band_write_u
p.pdf
02/06/15YEDITEPE UNI./ ISTANBUL
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THANK YOU FOR
LISTENING
02/06/15YEDITEPE UNI./ ISTANBUL
28
Appendix
150
200
A1
A2
B1
B2
B3
B4
A3
A4
X
Y
0
0
ETİKET X KONUMU Y KONUMU BOYUT
A1 5 -105
2,50 4
M3 - 6H 6
A2 5 -5
2,50 4
M3 - 6H 6
A3 145 -105 2,50 4
M3 - 6H 6
A4 145 -5
2,50 4
M3 - 6H 6
B1 37 -105 3 X 9
B2 37 -5 3 X 9
B3 113 -105 3 X 9
B4 113 -5 3 X 9
C
D
E
B
F
A
23 14
C
F
E
A
B
D
2 14 3
ÇİZEN
DENET.
ONAY.
ÜRET.
KALİTE
AKSİ BELİRTİLMEDİĞİ SÜRECE:
BOYUTLAR MİLİMETREDİR
YÜZEY CİLASI:
TOLERANSLAR:
DOĞRUSAL:
AÇISAL:
BİTİRME: KESKİN KENARLARI
PAHLAYIN VE
KIRIN
İSİM İMZA TARİH
MALZEME:
TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON
BAŞLIK:
RESİM NO.
ÖLÇEK:1:2 SAYFA 1 / 1
A3
ALUMINIUM
AĞIRLIK:
ANGUN
CIBLAK
CIBLAK
1
BASE
150
110
A1
A2
B1
B2
B3 B4 B5
B6
A3
A4
X
Y
0
0
ETİKET X KONUMU Y KONUMU BOYUT
A1 5 -105
2,50 4
M3 - 6H 6
A2 5 -5
2,50 4
M3 - 6H 6
A3 145 -105
2,50 4
M3 - 6H 6
A4 145 -5 2,50 4
M3 - 6H 6
B1 37 -105 3 X 9
B2 37 -5 3 X 9
B3 59 -105 3 X 9
B4 91 -105 3 X 9
B5 113 -105 3 X 9
B6 113 -5 3 X 9
C
D
E
B
F
A
23 14
C
F
E
A
B
D
2 14 3
ÇİZEN
DENET.
ONAY.
ÜRET.
KALİTE
AKSİ BELİRTİLMEDİĞİ SÜRECE:
BOYUTLAR MİLİMETREDİR
YÜZEY CİLASI:
TOLERANSLAR:
DOĞRUSAL:
AÇISAL:
BİTİRME: KESKİN KENARLARI
PAHLAYIN VE
KIRIN
İSİM İMZA TARİH
MALZEME:
TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON
BAŞLIK:
RESİM NO.
ÖLÇEK:1:2 SAYFA 1 / 1
A3
21.05.2015
AĞIRLIK:
ANGUN
CIBLAK
2
TOP
40
20
14
6
10
2,50
3
C
D
E
B
F
A
23 14
C
F
E
A
B
D
2 14 3
ÇİZEN
DENET.
ONAY.
ÜRET.
KALİTE
AKSİ BELİRTİLMEDİĞİ SÜRECE:
BOYUTLAR MİLİMETREDİR
YÜZEY CİLASI:
TOLERANSLAR:
DOĞRUSAL:
AÇISAL:
BİTİRME: KESKİN KENARLARI
PAHLAYIN VE
KIRIN
İSİM İMZA TARİH
MALZEME:
TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON
BAŞLIK:
RESİM NO.
ÖLÇEK:5:1 SAYFA 1 / 1
A3
AĞIRLIK:
SPRING HOLDER NEW
02/06/15YEDITEPE UNI./ ISTANBUL
29
Appendix
1.1.1 Angle function
function y=angle(x)
y=- 2.1*e-19*x^(10) + 2.5*e-16*x^(9) - 1.3*e-13*x^(8) + 3.6*e-
11*x^(7) - 6.1*e-09*x^(6) +6.5*e-07*x^(5) - 4.2*e-05*x^(4) +
0.0015*x^(3) - 0.029*x^(2) + 0.0048*x + 75;
1.1.2 Function of theta function
function [fth,rsA,alp]=fOfTheta(th,W)
global a b c w1 w2 w3 r1 r2
th=pi/180*th;
rsvec=(r2-c)*[cos(th);sin(th)]+a*[-sin(th);cos(th)];
rsAvec=[r1;0]+rsvec;
rsA=norm(rsAvec);
alp=atan2(rsAvec(2),rsAvec(1));
fth=(r2*(w1+w2+W)+1/2*w3*(r2-b))*cos(th)/((r2-c)*sin(th-
alp)+a*cos(th-alp));
end
02/06/15YEDITEPE UNI./ ISTANBUL
30
Appendix
1.1.1 Forces function
function [th,W,s,Fs,alp]=iPadFun(k,L0,thmax,thmin,nth)
global a b c w1 w2 w3 r1 r2 r3
thmax=thmax*pi/180;
thmin=thmin*pi/180;
th=linspace(thmin,thmax,nth);
W=zeros(size(th));
Fs=zeros(size(th));
alp=zeros(size(th));
s=zeros(size(th));
for ii=1:nth
rsvec=(r2-c)*[cos(th(ii));sin(th(ii))]+a*[-
sin(th(ii));cos(th(ii))];
rsAvec=[r1;0]+rsvec;
rsA=norm(rsAvec);
alp(ii)=atan2(rsAvec(2),rsAvec(1));
Fs(ii)=k*(rsA-L0);
W(ii)=Fs(ii)*((r2-c)*sin(th(ii)-
alp(ii))+a*cos(th(ii)-alp(ii)))/cos(th(ii))/r2-
(w1+w2+1/2*w3*(1-b/r2));
sPoly=[1,-2*(r2-b)*cos(th(ii)),(r2-b)^2-r3^2];
s(ii)=max(roots(sPoly));
end
th=th*180/pi;
alp=alp*180/pi;
end
1.1.2 Output function
function [k,L0]=iPadKL0(Wmax,thmax,thmin)
[fthmax,rsAmax]=fOfTheta(thmin,Wmax);
[fthmin,rsAmin]=fOfTheta(thmax,0);
k=(fthmax-fthmin)/(rsAmax-rsAmin);
L0=rsAmax-fthmax/k;
end
02/06/15YEDITEPE UNI./ ISTANBUL
31

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IPAD Weight Scale Mechanism Design

  • 1. A MECHANISM FOR IPAD WEIGHT SCALE ME492 Engineering Project Presentation DORUK ANGUN Dept. Of Mechanical Engineering Yeditepe University, ISTANBUL Adviser: Asst. Prof. Namık Cıblak
  • 2. Outline  The Need and the Statement of the Problem  The Objective & The Scope  Literature Survey  Preliminary Design Alternatives  Detailed Design  Conclusion  References 02/06/15YEDITEPE UNI./ ISTANBUL 2
  • 3. The Need and the Statement of the Problem  People want IPAD to do multiple tasks.  Weighing an object is a common thing to do.  There is a demand for IPAD weight scale.  Weighing by using the position change of the slider. Definition of the Need Statement of the Problem 02/06/15YEDITEPE UNI./ ISTANBUL 3
  • 4. The Objectives & The Scopes  Low cost  Accurate  Precise  Compact size  Ease of installation  Esthetic look  Jewel bearing  Registering a touch  Harmless to IPAD  Using the screen as much as possible. Objectives Scopes 02/06/15YEDITEPE UNI./ ISTANBUL 4
  • 5. Literature Survey Parallelogram Linkage  Consists of two identical cranks fixed with a distance between.  Four straight sides.  Opposing sides, parallel and same length. 02/06/15YEDITEPE UNI./ ISTANBUL 5
  • 6. Literature Survey Slider-Crank Mechanism  Converts rotational motion in to translational motion.  Consists of a rotating driving beam, a connection rod and a sliding body. 02/06/15YEDITEPE UNI./ ISTANBUL 6
  • 7. Literature Survey Capacitive Touchscreen  IPAD 2 has a capacitive touchscreen.  In capacitive touchscreens, there is an insulator such as glass coated with indium tin oxide as conductor.  Touching, distortion in the electrostatic field, determining where the body is touching. 02/06/15YEDITEPE UNI./ ISTANBUL 7
  • 8. Preliminary Design Alternatives Involute Mechanism Slider-crank mechanism with guided stylus Parallelogram with Slider-crank mechanism 02/06/15YEDITEPE UNI./ ISTANBUL 8 Mechanism Ideas
  • 9. Preliminary Design Alternatives Battery-Powered Stylus Jointed Stylus Stylus with Wheel 02/06/15YEDITEPE UNI./ ISTANBUL 9 Stylus Ideas
  • 10. Preliminary Design Alternatives 0 10 20 30 40 50 60 Involute mechanism Slider-crank mechanism with guided stylus Parallelogram with slider- crank mechanism % Mechanism Series1 0 10 20 30 40 50 60 Battery powered stylus Jointed stylus Stylus with wheel % Stylus (slider) Series1 02/06/15YEDITEPE UNI./ ISTANBUL 10
  • 11. Detailed Design Parallelogram with Slider Crank Mechanism + Stylus With Wheel +Weight Top part goes downExtension spring extends Slider goes forward -WeightExtension spring relaxesTop part goes upSlider goes back 02/06/15YEDITEPE UNI./ ISTANBUL 11
  • 12. Detailed Design Analysis FBD of Crank FBD of Slider FBD of Top 02/06/15YEDITEPE UNI./ ISTANBUL 12
  • 14. Detailed Design MATLAB Calculations Inputs “1” represents the weight holder, “2” represents the crank and “3” represents the slider.  Masses (kg) m1=0.137, m2=0.172 , m3=0.086  Link Lengths (m) r1=0.11, r2=0.15, r3=0.15  Connection points (m) Length of the spring holder a=0.25*r2, Distance between spring holder and the top of the link c=0.9*r2  Target mass range (kg) W∈ [0; 0.427,5]  Target θ range (degrees) θ∈ [75; 15] 02/06/15YEDITEPE UNI./ ISTANBUL 14
  • 15. Detailed Design MATLAB Calculations Outputs  k = 664.2478 N/m  L0 = 0.0752 m 02/06/15YEDITEPE UNI./ ISTANBUL 15
  • 16. Detailed Design Mass vs. Theta Slider Position vs. Mass 02/06/15YEDITEPE UNI./ ISTANBUL 16
  • 17. Detailed Design 3D Modelling of the Design 7 parts  Jewel (pivot hole)  Pin  Link  Spring holders  Base  Top (weight holder) 02/06/15YEDITEPE UNI./ ISTANBUL 17
  • 18. Detailed Design 3D Modelling of the Design Jewel Bearing Torus shape hole (bigger diameter) + Shaft (smaller diameter) Minimum fricition, better than other bearings. 02/06/15YEDITEPE UNI./ ISTANBUL 18
  • 21. Detailed Design  k=664.2478 N/m (MATLAB)  L0=0.0752 m (MATLAB)  d= 1 mm (design criteria)  D=5.85 mm ( )  C= 5.8499 ( ) NOT APPLICABLE (ADJUSTING IS DIFFICULT)  k=35.5 N/m (easy to adjust)  Adjustable hook (adjustable L0) 02/06/15 21 YEDITEPE UNI./ ISTANBUL Extension Spring Rubber Band Spring Design
  • 23. Detailed Design Experimental Results 02/06/15YEDITEPE UNI./ ISTANBUL 23 Location Location Location Location Location Location Location Location 77,5 g 127,5 g 177,5 g 227,5 g 277,5 g 327,5 g 377,5 g 427,5 g 6 43 52 101 125 182 247 388 6 42 55 101 122 182 256 391 6 42 55 101 125 182 259 387 4 41 54 102 129 188 260 411 4 41 57 104 125 183 265 437 4 42 58 97 125 186 266 417 4 42 57 96 125 193 276 413 4 42 57 100 126 184 282 413 4 40 57 103 129 191 267 408 4 42 57 100 127 183 271 418 Mass(g) Location 77,5 4,6 127,5 41,7 177,5 55,9 227,5 100,5 277,5 125,8 327,5 185,4 377,5 264,9 427,5 408,3
  • 24. Detailed Design Experimental Results 02/06/15YEDITEPE UNI./ ISTANBUL 24 y = 3E-06x3 - 0.0044x2 + 2.1309x + 62.128 R² = 0.99474 0 50 100 150 200 250 300 350 400 450 0 100 200 300 400 500 Mass(g) Slider Position (pixels) Series1 Poly. (Series1)
  • 25. Detailed Design Experimental Results 02/06/15YEDITEPE UNI./ ISTANBUL 25 Position Weight (g) Average (g) Accuracy (%) Accuracy (AVG %) Precision (g) 101 235,555403 234,868503 3,540836484 3,238902549 10,727584 101 235,555403 234,868503 3,540836484 101 235,555403 234,868503 3,540836484 102 236,885824 234,868503 4,125636923 104 239,525792 234,868503 5,286062418 97 230,163719 234,868503 1,170865495 96 228,798208 234,868503 0,570640879 100 234,218 234,868503 2,952967033 103 238,209281 234,868503 4,707376264 100 234,218 234,868503 2,952967033
  • 26. Conclusion In this project A working mechanism for IPAD weight scale is created by  Selecting its design among preliminary design ideas.  Applying a load analysis by using MATLAB.  3D Modeling and assembling its parts on SOLIDWORKS.  Manufacturing its parts.  Calibrating it by conducting experiments. Total Weight =823.71 grams Dimensions=200mm*150mm*25mm Capacity= 427,5 grams Accuracy=+-3.25 grams Precision= 10.73 grams Total Cost= 450 TL 02/06/15YEDITEPE UNI./ ISTANBUL 26
  • 27. References  [1] Tian, Y., Yao, Y.-A., Wei, X., Joneja, A. “Sliding-crawling parallelogram mechanism” (2014)  [2] H. Jiguang, Z. Chuanyan, Z. Weiyang, “Slider Crank Mechanism Design with Time Ratio and Minimum Transmission Angle” (2014)  [3] G. E. Burnett, D. R. Large, G. Lawson, S. De-Kremer, L. Skrypchuk “A comparison of resistive and capacitive touchscreens for use within vehicles” (2013)  [4] UBC. (n.d.). Stretching of Rubber Bands. Retrieved from http://c21.phas.ubc.ca/sites/default/files/rubber_band_write_u p.pdf 02/06/15YEDITEPE UNI./ ISTANBUL 27
  • 29. Appendix 150 200 A1 A2 B1 B2 B3 B4 A3 A4 X Y 0 0 ETİKET X KONUMU Y KONUMU BOYUT A1 5 -105 2,50 4 M3 - 6H 6 A2 5 -5 2,50 4 M3 - 6H 6 A3 145 -105 2,50 4 M3 - 6H 6 A4 145 -5 2,50 4 M3 - 6H 6 B1 37 -105 3 X 9 B2 37 -5 3 X 9 B3 113 -105 3 X 9 B4 113 -5 3 X 9 C D E B F A 23 14 C F E A B D 2 14 3 ÇİZEN DENET. ONAY. ÜRET. KALİTE AKSİ BELİRTİLMEDİĞİ SÜRECE: BOYUTLAR MİLİMETREDİR YÜZEY CİLASI: TOLERANSLAR: DOĞRUSAL: AÇISAL: BİTİRME: KESKİN KENARLARI PAHLAYIN VE KIRIN İSİM İMZA TARİH MALZEME: TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON BAŞLIK: RESİM NO. ÖLÇEK:1:2 SAYFA 1 / 1 A3 ALUMINIUM AĞIRLIK: ANGUN CIBLAK CIBLAK 1 BASE 150 110 A1 A2 B1 B2 B3 B4 B5 B6 A3 A4 X Y 0 0 ETİKET X KONUMU Y KONUMU BOYUT A1 5 -105 2,50 4 M3 - 6H 6 A2 5 -5 2,50 4 M3 - 6H 6 A3 145 -105 2,50 4 M3 - 6H 6 A4 145 -5 2,50 4 M3 - 6H 6 B1 37 -105 3 X 9 B2 37 -5 3 X 9 B3 59 -105 3 X 9 B4 91 -105 3 X 9 B5 113 -105 3 X 9 B6 113 -5 3 X 9 C D E B F A 23 14 C F E A B D 2 14 3 ÇİZEN DENET. ONAY. ÜRET. KALİTE AKSİ BELİRTİLMEDİĞİ SÜRECE: BOYUTLAR MİLİMETREDİR YÜZEY CİLASI: TOLERANSLAR: DOĞRUSAL: AÇISAL: BİTİRME: KESKİN KENARLARI PAHLAYIN VE KIRIN İSİM İMZA TARİH MALZEME: TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON BAŞLIK: RESİM NO. ÖLÇEK:1:2 SAYFA 1 / 1 A3 21.05.2015 AĞIRLIK: ANGUN CIBLAK 2 TOP 40 20 14 6 10 2,50 3 C D E B F A 23 14 C F E A B D 2 14 3 ÇİZEN DENET. ONAY. ÜRET. KALİTE AKSİ BELİRTİLMEDİĞİ SÜRECE: BOYUTLAR MİLİMETREDİR YÜZEY CİLASI: TOLERANSLAR: DOĞRUSAL: AÇISAL: BİTİRME: KESKİN KENARLARI PAHLAYIN VE KIRIN İSİM İMZA TARİH MALZEME: TEKNİK RESMİ ÖLÇEKLENDİRMEYİN REVİZYON BAŞLIK: RESİM NO. ÖLÇEK:5:1 SAYFA 1 / 1 A3 AĞIRLIK: SPRING HOLDER NEW 02/06/15YEDITEPE UNI./ ISTANBUL 29
  • 30. Appendix 1.1.1 Angle function function y=angle(x) y=- 2.1*e-19*x^(10) + 2.5*e-16*x^(9) - 1.3*e-13*x^(8) + 3.6*e- 11*x^(7) - 6.1*e-09*x^(6) +6.5*e-07*x^(5) - 4.2*e-05*x^(4) + 0.0015*x^(3) - 0.029*x^(2) + 0.0048*x + 75; 1.1.2 Function of theta function function [fth,rsA,alp]=fOfTheta(th,W) global a b c w1 w2 w3 r1 r2 th=pi/180*th; rsvec=(r2-c)*[cos(th);sin(th)]+a*[-sin(th);cos(th)]; rsAvec=[r1;0]+rsvec; rsA=norm(rsAvec); alp=atan2(rsAvec(2),rsAvec(1)); fth=(r2*(w1+w2+W)+1/2*w3*(r2-b))*cos(th)/((r2-c)*sin(th- alp)+a*cos(th-alp)); end 02/06/15YEDITEPE UNI./ ISTANBUL 30
  • 31. Appendix 1.1.1 Forces function function [th,W,s,Fs,alp]=iPadFun(k,L0,thmax,thmin,nth) global a b c w1 w2 w3 r1 r2 r3 thmax=thmax*pi/180; thmin=thmin*pi/180; th=linspace(thmin,thmax,nth); W=zeros(size(th)); Fs=zeros(size(th)); alp=zeros(size(th)); s=zeros(size(th)); for ii=1:nth rsvec=(r2-c)*[cos(th(ii));sin(th(ii))]+a*[- sin(th(ii));cos(th(ii))]; rsAvec=[r1;0]+rsvec; rsA=norm(rsAvec); alp(ii)=atan2(rsAvec(2),rsAvec(1)); Fs(ii)=k*(rsA-L0); W(ii)=Fs(ii)*((r2-c)*sin(th(ii)- alp(ii))+a*cos(th(ii)-alp(ii)))/cos(th(ii))/r2- (w1+w2+1/2*w3*(1-b/r2)); sPoly=[1,-2*(r2-b)*cos(th(ii)),(r2-b)^2-r3^2]; s(ii)=max(roots(sPoly)); end th=th*180/pi; alp=alp*180/pi; end 1.1.2 Output function function [k,L0]=iPadKL0(Wmax,thmax,thmin) [fthmax,rsAmax]=fOfTheta(thmin,Wmax); [fthmin,rsAmin]=fOfTheta(thmax,0); k=(fthmax-fthmin)/(rsAmax-rsAmin); L0=rsAmax-fthmax/k; end 02/06/15YEDITEPE UNI./ ISTANBUL 31