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Presentations text content in Experiment on Farthest Throw of Catapult
Slide1
Experiment on Farthest Throw of Catapult
Course project of DOE, 2010 springBy Group 11:沈坤，孙维，袁怡潇，于漠南，朱雯
1
Photo art courtesy: smart_katalog_fortwo_2007.pdf, Daimler AG
Slide2
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IntroductionFactor AnalysisExperiment and AnalyzingSummary
Agenda
Slide3
Background
Catapult in history
Application of the principal of leverage
A tool for attack
How to make it have a launch on the largest distance?
Catapult in experimentComposed of a band, a ball, some bolts and the basic wooden structure
Slide4
Objectives
A
statistical model of significant factors in response to the cast distance of the
catapult
The optimal combination of the significant factors to maximize the cast
distance
An estimation of this “optimal distance”
Slide5
Related Chapters in Textbook
23 full factorial designResponse surface analysis --- The steepest ascent methodFitting regression modelGeneral linear model
5
Slide6
Related Papers
《利用响应曲面法确定竹叶中黄酮最佳提取条件》，冯涛、曹东旭、高辉、季光，2003年6月，《天津轻工业学院学报》。《试验设计与优化》，李波、徐泽民、李方、张新申，2003年1月，《中国皮革》。《Experiment of washing process》，于航等。 （五字班DOE课程小组大作业报告）《An investigation on data entry effectiveness & efficiency 》，张重阳等。 （五字班DOE课程小组大作业报告）
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Slide7
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Introduction
Factor Analysis
Experiment and Analyzing
Summary
Slide8
Response variable
Cast distance of the catapultRange 0.5 through 3.5 metersMeasurementband tape + number of floor tires
Slide9
Effect factor
Catapult
The
open angel of the cast arm
The
position of the apron
Tiredness
Concentration
Put the cast arm to the precise angel
Humidity
Air resistance
The right position of the ball
Temperature
Wind velocity
Put the cast arm to the precise angel
The height of the catapult
The radius of the ball
The precision of the band tape
The front fixture of the band
The
back
fixture of the band
Operator
Measurement
Catapult
Environment
Cast distance of the catapul
t
Slide10
Constant Variables & Noise Variables
Slide11
Control the interference factor
Slide12
Control Variables
Real factorRangeCategoryInfluenceLevelFront fixture of the band1,2,3,4DiscreteTension of the band1,3 (a)Position of the apron1,2,3,4,5,6DiscreteAngel of the ball4,6 (b)Open angel of the cast arm0~180 degreeContinuousCast speed of the ball160 and180 degree (c)
(a)
(b)
(c)
Slide13
Real factorVariable nameRangeCategoryCoded value—+Front fixture of the bandA1,2,3,4Discrete13Position of the apronB1,2,3,4,5,6Discrete46Open angel of the cast armC0~180 degreeContinuous160180
The 23 factorial design
Replications: 5
Slide14
14
Introduction
Factor Analysis
Experiment and Analyzing
Summary
Slide15
Our experimenting and analyzing process
Slide16
The qualitative analysis of factors’ effects
Slide17
The further analysis of response surface
We will show the process in Minitab.Regression model:When A=1, B=6, C=180 :
Slide18
A GLM between distance and the significant factors and interactionsResources: A, B, C, AC, BCThe functionThe theoretical optimal solution:Setting A at “1”, B at “6”, C at “180”
General Linear Model
18
Slide19
19
Special verification of “B”
Whether or not factor B is significant to DistanceFull factorial design: B is proved to have no significant effectGeneral linear model: B’s effect seems to be significantAdvanced analysis: Based on more data10 replications
Slide20
Data in detail:ConclusionB has a slight positive effect to the response variable DistanceOptimal style: A=1, B=6, C=180
Box-plot:
Special verification of “B”, cont
Slide21
Under A=1, B=6, C=18020 replications95% confidence interval Our estimation of the “Largest distance”: (544.98, 551.02)
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DownloadNote - The PPT/PDF document "Experiment on Farthest Throw of Catapult" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Presentations text content in Experiment on Farthest Throw of Catapult
Experiment on Farthest Throw of Catapult
Course project of DOE, 2010 springBy Group 11:沈坤，孙维，袁怡潇，于漠南，朱雯
1
Photo art courtesy: smart_katalog_fortwo_2007.pdf, Daimler AG
Slide22
IntroductionFactor AnalysisExperiment and AnalyzingSummary
Agenda
Slide3Background
Catapult in history
Application of the principal of leverage
A tool for attack
How to make it have a launch on the largest distance?
Catapult in experimentComposed of a band, a ball, some bolts and the basic wooden structure
Slide4Objectives
A
statistical model of significant factors in response to the cast distance of the
catapult
The optimal combination of the significant factors to maximize the cast
distance
An estimation of this “optimal distance”
Slide5Related Chapters in Textbook
23 full factorial designResponse surface analysis --- The steepest ascent methodFitting regression modelGeneral linear model
5
Slide6Related Papers
《利用响应曲面法确定竹叶中黄酮最佳提取条件》，冯涛、曹东旭、高辉、季光，2003年6月，《天津轻工业学院学报》。《试验设计与优化》，李波、徐泽民、李方、张新申，2003年1月，《中国皮革》。《Experiment of washing process》，于航等。 （五字班DOE课程小组大作业报告）《An investigation on data entry effectiveness & efficiency 》，张重阳等。 （五字班DOE课程小组大作业报告）
6
Slide77
Introduction
Factor Analysis
Experiment and Analyzing
Summary
Slide8Response variable
Cast distance of the catapultRange 0.5 through 3.5 metersMeasurementband tape + number of floor tires
Slide9Effect factor
Catapult
The
open angel of the cast arm
The
position of the apron
Tiredness
Concentration
Put the cast arm to the precise angel
Humidity
Air resistance
The right position of the ball
Temperature
Wind velocity
Put the cast arm to the precise angel
The height of the catapult
The radius of the ball
The precision of the band tape
The front fixture of the band
The
back
fixture of the band
Operator
Measurement
Catapult
Environment
Cast distance of the catapul
t
Slide10Constant Variables & Noise Variables
Slide11Control the interference factor
Slide12Control Variables
Real factorRangeCategoryInfluenceLevelFront fixture of the band1,2,3,4DiscreteTension of the band1,3 (a)Position of the apron1,2,3,4,5,6DiscreteAngel of the ball4,6 (b)Open angel of the cast arm0~180 degreeContinuousCast speed of the ball160 and180 degree (c)
(a)
(b)
(c)
Slide13Real factorVariable nameRangeCategoryCoded value—+Front fixture of the bandA1,2,3,4Discrete13Position of the apronB1,2,3,4,5,6Discrete46Open angel of the cast armC0~180 degreeContinuous160180
The 23 factorial design
Replications: 5
Slide1414
Introduction
Factor Analysis
Experiment and Analyzing
Summary
Slide15Our experimenting and analyzing process
Slide16The qualitative analysis of factors’ effects
Slide17The further analysis of response surface
We will show the process in Minitab.Regression model:When A=1, B=6, C=180 :
Slide18A GLM between distance and the significant factors and interactionsResources: A, B, C, AC, BCThe functionThe theoretical optimal solution:Setting A at “1”, B at “6”, C at “180”
General Linear Model
18
Slide1919
Special verification of “B”
Whether or not factor B is significant to DistanceFull factorial design: B is proved to have no significant effectGeneral linear model: B’s effect seems to be significantAdvanced analysis: Based on more data10 replications
Slide20Data in detail:ConclusionB has a slight positive effect to the response variable DistanceOptimal style: A=1, B=6, C=180
Box-plot:
Special verification of “B”, cont
Slide21Under A=1, B=6, C=18020 replications95% confidence interval Our estimation of the “Largest distance”: (544.98, 551.02)
Estimating the Optimal Value
Slide2222
Introduction
Factor Analysis
Experiment and Analyzing
Summary
Slide2323
Our methodology
Slide2424
Our final result
Optimal style: A=1, B=6, C=180Optimal value: (544.98, 551.02)
Slide25The End !Thank you!
Q & A
25
Photo art courtesy: smart_katalog_fortwo_2007.pdf, Daimler AG