Presentation is loading. Please wait.

Presentation is loading. Please wait.

Design of Experiment Group member: Li Zheran Xu Zan She Manrong Lei Chen.

Similar presentations


Presentation on theme: "Design of Experiment Group member: Li Zheran Xu Zan She Manrong Lei Chen."— Presentation transcript:

1 Design of Experiment Group member: Li Zheran Xu Zan She Manrong Lei Chen

2 Content : MMotivation LLiterature review DDesign of Experiment IImplementation RRestrictions 2

3 Motivation  Find out the main effect on spinning top  Design a model between the effect and the response  Help understand the work principle of spinning top 3

4 Content :  Motivation  Literature review  Design of Experiment  Implementation  Restrictions 4

5 Literature review  The history of spinning-top: ① 明代刘侗、于奕正《帝经 物略 · 二春场》载 : “ 陀螺者, 木制,如小空钟,中实而 无柄。绕以鞭之绳,卓于 地,争制其鞭 ……” 。 ② 1852 年, 博科 (Foucault) 首 先将高速旋转的刚体称为 陀螺。 Wooden gyro Clockwork gyro Rotating handle gyro 5

6 Literature review  The process of turning spinning-top: 6

7 Literature review  The process of turning spinning-top: 7

8 Content :  Motivation  Literature review  Design of Experiment  Implementation  Restrictions 8

9 Design of Experiment Factor Decomposition Implementation of the experiments Data analysis The results of the design 9

10 Factor Decomposition  Response Variable:  Response Variable: Slewing time  Control variable: ① Ground surface ( cement / plastic / ceramic ) ② Height ( low / high ) ③ Weight ( light / heavy )  Fixed variables:  Fixed variables: Force ( held constant )  Nuisance factor: ① Surface homogeneous ② Wind speed 10

11 Factor Level Definition Control Variable CodeLevelsLevel Code Ground SurfaceA Cement Ground1 Plastic Ground(playground)2 Ceramic Ground3 HeightB Low(H=10cm)1 High(H=20cm)2 Gyro WeightC Light1 Heavy(with plasticine)2 11

12 Preliminary Experiment Choose rotating handle gyro to do the preliminary experiment to control the fixed factor Ground Surface cement Height H=10cm Weight light 12

13 Control the fixed factor 13

14 Control the fixed factor 14

15 Content :  Motivation  Literature review  Design of Experiment  Implementation  Restrictions 15

16 Implementation 1:cement 2:plastic 3:ceramic A: ground surface 1:H=10cm 2:H=20cm B: height 1:light 2:heavy C: weight 16

17 Implementation Full Factorial Design 17

18 Data analysis Significant effect A: type of ground surface C: the weight of the gyro No significant effect B: the height 18

19 Data analysis ( cont. ) No interaction effect A and B B and C Significant effect A and C On the ceramic ground, the difference is bigger. 19

20 Data analysis ( cont. ) Normality assumption Normal probability plot √ Histogram √ Equal variance assumption Residual VS fitted value ╳ 20

21 Slewing Time 的方差分析,在检验中使用调整的 SS 来源 自由度 Seq SS Adj SS Adj MS F P A B C A*B A*C B*C A*B*C 误差 合计 S = R-Sq = 93.92% R-Sq (调整) = 92.52% 项 系数 系数标准误 T P 常量 A B C A*B A*C B*C A*B*C

22 Another experiment 1:cement 2:plastic 3:ceramic A: ground surface 1:H=30cm 2:H=1m B: height 1:light 2:heavy C: weight Clockwork gyro 22

23 Data analysis 23

24 Data analysis 24

25 Slewing Time 的方差分析,在检验中使用调整的 SS 来源 自由度 Seq SS Adj SS Adj MS F P A B C A*B A*C B*C A*B*C 误差 合计 S = R-Sq = 93.11% R-Sq (调整) = 91.53% 项 系数 系数标准误 T P 常量 A B C A*B A*C B*C A*B*C

26 The results of the design  Main effect: Ground surface & weight with 95% confidence  Ground surface effect: Ceramic material increases the slewing time  Weight effect: Lighter gyro increases the slewing time 26

27 Content :  Motivation  Literature review  Design of Experiment  Implementation  Restrictions 27

28 Restrictions on the experiment Force control: Force control: Though we have practice to keep force constant, there is still personal error. Difficult to control the weight: Difficult to control the weight: To control the weight, we choose to cover plasticine to plus weight. Data acquisition: Data acquisition: Each run we use stopwatch to record data, which may have measuring error. Wearing restriction: Wearing restriction: With the increasing of run times, the gyro wearing increases. 28

29

30 Thank you for listening Q&A 30


Download ppt "Design of Experiment Group member: Li Zheran Xu Zan She Manrong Lei Chen."

Similar presentations


Ads by Google