2007年5月29日 星期二

機動學第十一次作業

題目一:

現在探討有個凸輪,
開始時先在0°至100°區間滯留之後提升,
並且在200°至260°區間再次滯留,
其高度(衝程)為5公分,
其餘260°至360°則為返程。
升程採用等加速度運動,
返程之運動型式若為等速度運動的話,
則利用dewell()及plot_dewell()兩個程式,
以每10°計算一次,
並繪出其位置、速度、加速度與凸輪迴轉角度的關係圖:

>> plot_dwell(0:10:360,5,[2 1],[100 200 260])

y =

Columns 1 through 3

0 0 0

Columns 4 through 6

0 0 0

Columns 7 through 9

0 0 0

Columns 10 through 12

0 0 0.0200

Columns 13 through 15

0.0800 0.1800 0.3200

Columns 16 through 18

0.5000 0.6800 0.8200

Columns 19 through 21

0.9200 0.9800 1.0000

Columns 22 through 24

1.0000 1.0000 1.0000

Columns 25 through 27

1.0000 1.0000 1.0000

Columns 28 through 30

0.9000 0.8000 0.7000

Columns 31 through 33

0.6000 0.5000 0.4000

Columns 34 through 36

0.3000 0.2000 0.1000

Column 37

0


yy =

Columns 1 through 3

0 0 0

Columns 4 through 6

0 0 0

Columns 7 through 9

0 0 0

Columns 10 through 12

0 2.2918 2.5210

Columns 13 through 15

2.7502 2.9794 3.2086

Columns 16 through 18

1.1459 0.9167 0.6875

Columns 19 through 21

0.4584 0.2292 0

Columns 22 through 24

0 0 0

Columns 25 through 27

0 0 -0.5730

Columns 28 through 30

-0.5730 -0.5730 -0.5730

Columns 31 through 33

-0.5730 -0.5730 -0.5730

Columns 34 through 36

-0.5730 -0.5730 -0.5730

Column 37

-0.5730


yyy =

Columns 1 through 3

0 0 0

Columns 4 through 6

0 0 0

Columns 7 through 9

0 0 0

Columns 10 through 12

0 1.3131 1.3131

Columns 13 through 15

1.3131 1.3131 1.3131

Columns 16 through 18

-1.3131 -1.3131 -1.3131

Columns 19 through 21

-1.3131 -1.3131 0

Columns 22 through 24

0 0 0

Columns 25 through 27

0 0 0

Columns 28 through 30

0 0 0

Columns 31 through 33

0 0 0

Columns 34 through 36

0 0 0

Column 37

0


h1 =

152.0099
153.0089
154.0089




y為從動件在不同迴轉角度,
垂直移動的高度。
yy為從動件的垂直運動速度。
yyy為從動件的垂直加速度。


題目二:

若今天有一個凸輪半徑15㎝,
以順時針方向旋轉。
從動件為梢型,
垂直接觸凸輪,
長為10㎝。
從動件之運動依照上一題之運動型式,
100°~200°、260°~360°各為升程及返程時的對應迴轉角度。
升程為等加速度運動,
返程仍設定為等速運動。
則透過pincam()來繪製工作圖:

>> [x y]=pincam([0:10:360],15,5,0,10,[100 200 260],[2 1],-1)

x =

Columns 1 through 3

15.0000 14.7721 14.0954

Columns 4 through 6

12.9904 11.4907 9.6418

Columns 7 through 9

7.5000 5.1303 2.6047

Columns 10 through 12

0.0000 -2.6047 -5.1645

Columns 13 through 15

-7.7000 -10.2203 -12.7163

Columns 16 through 18

-15.1554 -17.2903 -18.8098

Columns 19 through 21

-19.6000 -19.5977 -18.7939

Columns 22 through 24

-17.3205 -15.3209 -12.8558

Columns 25 through 27

-10.0000 -6.8404 -3.4730

Columns 28 through 30

-0.0000 3.2993 6.3274

Columns 31 through 33

9.0000 11.2488 13.0228

Columns 34 through 36

14.2894 15.0351 15.2645

Column 37

15.0000


y =

Columns 1 through 3

0 2.6047 5.1303

Columns 4 through 6

7.5000 9.6418 11.4907

Columns 7 through 9

12.9904 14.0954 14.7721

Columns 10 through 12

15.0000 14.7721 14.1894

Columns 13 through 15

13.3368 12.1801 10.6703

Columns 16 through 18

8.7500 6.2932 3.3167

Columns 19 through 21

0.0000 -3.4556 -6.8404

Columns 22 through 24

-10.0000 -12.8558 -15.3209

Columns 25 through 27

-17.3205 -18.7939 -19.6962

Columns 28 through 30

-19.5000 -18.7113 -17.3843

Columns 31 through 33

-15.5885 -13.4058 -10.9274

Columns 34 through 36

-8.2500 -5.4723 -2.6915

Column 37

-0.0000




所計算出來各對應的值,
為梢型從動件和凸輪接觸的座標。
因為偏置為零,
故所有從動件之延長線,
均會交於基圓的圓心。

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