Wydział Budowy Maszyn i Informatyki
Kierunek: Automatyka i Robotyka
Rok akademicki: 2013/2014
Studia: stacjonarne
Semestr: 3
Grupa: 1a
LABORATORIUM
METROLOGII
ANALOGOWA I CYFROWA TECHNIKA POMIAROWA, POMIARY CHROPOWATOŚCI POWIERZCHNI.
Daniel Gasidło
1.Cel ćwiczenia:
Dla podanych przez prowadzącego danych należy obliczyć parametry Ra czyli średnią arytmetyczną rzędnych profilu, Rz czyli największa wysokość profilu oraz Rmr(C) czyli udział materiałowy profilu w danych przedziale przekroju oraz sporządzić wykres profilu chropowatości.
2.Przebieg ćwiczenia:
Dla podanych przez prowadzącego danych obliczyłem w Excelu pozostałe dane co przedstawia tabela oraz zrobiłem wykres profilu chropowatości.
13 |
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C=0,8 |
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a |
n |
∑yi |
∑|zi| |
Ra |
Zp |
Zv |
|Zv| |
Rz |
1,868733624 |
229 |
427,94 |
640,0338 |
2,7949074 |
7,711266 |
-9,698734 |
9,698734 |
17,41 |
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x |
yi |
zi |
|zi| |
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0 |
2,66 |
0,791266 |
0,791266 |
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0,010526316 |
0,73 |
-1,138734 |
1,138734 |
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0,021052632 |
1,24 |
-0,628734 |
0,628734 |
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0,031578947 |
1,4 |
-0,468734 |
0,468734 |
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0,042105263 |
3,42 |
1,551266 |
1,551266 |
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0,052631579 |
3,92 |
2,051266 |
2,051266 |
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0,063157895 |
2,67 |
0,801266 |
0,801266 |
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0,073684211 |
-0,35 |
-2,218734 |
2,218734 |
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0,084210526 |
-3,74 |
-5,608734 |
5,608734 |
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0,094736842 |
-2,84 |
-4,708734 |
4,708734 |
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0,105263158 |
-0,15 |
-2,018734 |
2,018734 |
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0,115789474 |
0,76 |
-1,108734 |
1,108734 |
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0,126315789 |
2,33 |
0,461266 |
0,461266 |
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0,136842105 |
4,88 |
3,011266 |
3,011266 |
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0,147368421 |
6,33 |
4,461266 |
4,461266 |
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0,157894737 |
7,37 |
5,501266 |
5,501266 |
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0,168421053 |
7,08 |
5,211266 |
5,211266 |
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0,178947368 |
6,23 |
4,361266 |
4,361266 |
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0,189473684 |
5,71 |
3,841266 |
3,841266 |
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0,2 |
5,89 |
4,021266 |
4,021266 |
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0,210526316 |
4,24 |
2,371266 |
2,371266 |
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0,221052632 |
3,75 |
1,881266 |
1,881266 |
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0,231578947 |
3,83 |
1,961266 |
1,961266 |
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0,242105263 |
2,38 |
0,511266 |
0,511266 |
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0,252631579 |
3,74 |
1,871266 |
1,871266 |
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0,263157895 |
3,4 |
1,531266 |
1,531266 |
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0,273684211 |
1,82 |
-0,048734 |
0,048734 |
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0,284210526 |
0,55 |
-1,318734 |
1,318734 |
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0,294736842 |
1,72 |
-0,148734 |
0,148734 |
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0,305263158 |
1,19 |
-0,678734 |
0,678734 |
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0,315789474 |
2,24 |
0,371266 |
0,371266 |
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0,326315789 |
1,94 |
0,071266 |
0,071266 |
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0,336842105 |
3,89 |
2,021266 |
2,021266 |
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0,347368421 |
4,56 |
2,691266 |
2,691266 |
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0,357894737 |
4,3 |
2,431266 |
2,431266 |
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0,368421053 |
4,06 |
2,191266 |
2,191266 |
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0,378947368 |
2,43 |
0,561266 |
0,561266 |
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0,389473684 |
-0,7 |
-2,568734 |
2,568734 |
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0,4 |
1,19 |
-0,678734 |
0,678734 |
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0,410526316 |
-2,72 |
-4,588734 |
4,588734 |
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0,421052632 |
-1,48 |
-3,348734 |
3,348734 |
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0,431578947 |
0,49 |
-1,378734 |
1,378734 |
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0,442105263 |
-0,49 |
-2,358734 |
2,358734 |
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0,452631579 |
-2,2 |
-4,068734 |
4,068734 |
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0,463157895 |
-5,63 |
-7,498734 |
7,498734 |
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0,473684211 |
-6,15 |
-8,018734 |
8,018734 |
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0,484210526 |
-2,69 |
-4,558734 |
4,558734 |
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0,494736842 |
0,55 |
-1,318734 |
1,318734 |
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0,505263158 |
2,08 |
0,211266 |
0,211266 |
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0,515789474 |
3,65 |
1,781266 |
1,781266 |
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0,526315789 |
4,88 |
3,011266 |
3,011266 |
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0,536842105 |
6,45 |
4,581266 |
4,581266 |
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0,547368421 |
6,03 |
4,161266 |
4,161266 |
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0,557894737 |
3,22 |
1,351266 |
1,351266 |
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0,568421053 |
1,85 |
-0,018734 |
0,018734 |
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0,578947368 |
4,04 |
2,171266 |
2,171266 |
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0,589473684 |
2,08 |
0,211266 |
0,211266 |
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0,6 |
0,56 |
-1,308734 |
1,308734 |
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0,610526316 |
-2,5 |
-4,368734 |
4,368734 |
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0,621052632 |
-3,63 |
-5,498734 |
5,498734 |
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0,631578947 |
-0,03 |
-1,898734 |
1,898734 |
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0,642105263 |
0,03 |
-1,838734 |
1,838734 |
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0,652631579 |
2,26 |
0,391266 |
0,391266 |
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0,663157895 |
-2,35 |
-4,218734 |
4,218734 |
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0,673684211 |
-2,75 |
-4,618734 |
4,618734 |
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0,684210526 |
-1,94 |
-3,808734 |
3,808734 |
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0,694736842 |
-4,73 |
-6,598734 |
6,598734 |
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0,705263158 |
-2,24 |
-4,108734 |
4,108734 |
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0,715789474 |
-0,84 |
-2,708734 |
2,708734 |
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0,726315789 |
1,68 |
-0,188734 |
0,188734 |
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0,736842105 |
2,2 |
0,331266 |
0,331266 |
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0,747368421 |
1,98 |
0,111266 |
0,111266 |
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0,757894737 |
3,05 |
1,181266 |
1,181266 |
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0,768421053 |
2,58 |
0,711266 |
0,711266 |
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0,778947368 |
3,19 |
1,321266 |
1,321266 |
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0,789473684 |
3,59 |
1,721266 |
1,721266 |
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0,8 |
3,94 |
2,071266 |
2,071266 |
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0,810526316 |
4,27 |
2,401266 |
2,401266 |
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0,821052632 |
4,99 |
3,121266 |
3,121266 |
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0,831578947 |
5,54 |
3,671266 |
3,671266 |
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0,842105263 |
4,1 |
2,231266 |
2,231266 |
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0,852631579 |
5,13 |
3,261266 |
3,261266 |
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0,863157895 |
6,76 |
4,891266 |
4,891266 |
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0,873684211 |
4,9 |
3,031266 |
3,031266 |
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0,884210526 |
3,28 |
1,411266 |
1,411266 |
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0,894736842 |
3,56 |
1,691266 |
1,691266 |
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0,905263158 |
4,88 |
3,011266 |
3,011266 |
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0,915789474 |
5,42 |
3,551266 |
3,551266 |
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0,926315789 |
3,74 |
1,871266 |
1,871266 |
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0,936842105 |
1,98 |
0,111266 |
0,111266 |
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0,947368421 |
-0,34 |
-2,208734 |
2,208734 |
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0,957894737 |
-1,21 |
-3,078734 |
3,078734 |
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0,968421053 |
-0,95 |
-2,818734 |
2,818734 |
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0,978947368 |
-3,46 |
-5,328734 |
5,328734 |
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0,989473684 |
-3,72 |
-5,588734 |
5,588734 |
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1 |
1,34 |
-0,528734 |
0,528734 |
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1,010526316 |
6,55 |
4,681266 |
4,681266 |
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1,021052632 |
6,06 |
4,191266 |
4,191266 |
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1,031578947 |
6,07 |
4,201266 |
4,201266 |
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1,042105263 |
4,1 |
2,231266 |
2,231266 |
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1,052631579 |
1,69 |
-0,178734 |
0,178734 |
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1,063157895 |
-0,21 |
-2,078734 |
2,078734 |
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1,073684211 |
-0,18 |
-2,048734 |
2,048734 |
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1,084210526 |
2,01 |
0,141266 |
0,141266 |
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1,094736842 |
2,61 |
0,741266 |
0,741266 |
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1,105263158 |
3,37 |
1,501266 |
1,501266 |
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1,115789474 |
3,25 |
1,381266 |
1,381266 |
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1,126315789 |
2,29 |
0,421266 |
0,421266 |
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1,136842105 |
1,71 |
-0,158734 |
0,158734 |
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1,147368421 |
-0,02 |
-1,888734 |
1,888734 |
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1,157894737 |
-0,66 |
-2,528734 |
2,528734 |
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1,168421053 |
-0,69 |
-2,558734 |
2,558734 |
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1,178947368 |
-1,24 |
-3,108734 |
3,108734 |
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1,189473684 |
0,14 |
-1,728734 |
1,728734 |
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1,2 |
0,89 |
-0,978734 |
0,978734 |
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1,210526316 |
1,11 |
-0,758734 |
0,758734 |
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1,221052632 |
3,27 |
1,401266 |
1,401266 |
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1,231578947 |
4,59 |
2,721266 |
2,721266 |
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1,242105263 |
3,37 |
1,501266 |
1,501266 |
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1,252631579 |
3,33 |
1,461266 |
1,461266 |
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1,263157895 |
2,79 |
0,921266 |
0,921266 |
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1,273684211 |
1,63 |
-0,238734 |
0,238734 |
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1,284210526 |
-0,11 |
-1,978734 |
1,978734 |
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1,294736842 |
-2,62 |
-4,488734 |
4,488734 |
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1,305263158 |
-3,51 |
-5,378734 |
5,378734 |
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1,315789474 |
-5,1 |
-6,968734 |
6,968734 |
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1,326315789 |
-5,05 |
-6,918734 |
6,918734 |
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1,336842105 |
-3,59 |
-5,458734 |
5,458734 |
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1,347368421 |
-2,46 |
-4,328734 |
4,328734 |
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1,357894737 |
-0,76 |
-2,628734 |
2,628734 |
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1,368421053 |
0,34 |
-1,528734 |
1,528734 |
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1,378947368 |
1,36 |
-0,508734 |
0,508734 |
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1,389473684 |
-0,72 |
-2,588734 |
2,588734 |
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1,4 |
-1,51 |
-3,378734 |
3,378734 |
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1,410526316 |
-2,43 |
-4,298734 |
4,298734 |
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1,421052632 |
-3,74 |
-5,608734 |
5,608734 |
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1,431578947 |
-1,31 |
-3,178734 |
3,178734 |
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1,442105263 |
-3,89 |
-5,758734 |
5,758734 |
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1,452631579 |
-0,96 |
-2,828734 |
2,828734 |
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1,463157895 |
3,43 |
1,561266 |
1,561266 |
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1,473684211 |
2,41 |
0,541266 |
0,541266 |
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1,484210526 |
2,04 |
0,171266 |
0,171266 |
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1,494736842 |
1,75 |
-0,118734 |
0,118734 |
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1,505263158 |
0,32 |
-1,548734 |
1,548734 |
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1,515789474 |
0,32 |
-1,548734 |
1,548734 |
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1,526315789 |
1,39 |
-0,478734 |
0,478734 |
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1,536842105 |
0,78 |
-1,088734 |
1,088734 |
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1,547368421 |
-1,45 |
-3,318734 |
3,318734 |
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1,557894737 |
-1,51 |
-3,378734 |
3,378734 |
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1,568421053 |
-5,02 |
-6,888734 |
6,888734 |
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1,578947368 |
-2,82 |
-4,688734 |
4,688734 |
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1,589473684 |
1,1 |
-0,768734 |
0,768734 |
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1,6 |
3,66 |
1,791266 |
1,791266 |
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1,610526316 |
5,72 |
3,851266 |
3,851266 |
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1,621052632 |
7,89 |
6,021266 |
6,021266 |
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1,631578947 |
7,84 |
5,971266 |
5,971266 |
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1,642105263 |
8 |
6,131266 |
6,131266 |
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1,652631579 |
5,77 |
3,901266 |
3,901266 |
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1,663157895 |
4,24 |
2,371266 |
2,371266 |
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1,673684211 |
4,96 |
3,091266 |
3,091266 |
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1,684210526 |
4,85 |
2,981266 |
2,981266 |
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1,694736842 |
4,84 |
2,971266 |
2,971266 |
|
|
|
|
|
1,705263158 |
5,14 |
3,271266 |
3,271266 |
|
|
|
|
|
1,715789474 |
6,44 |
4,571266 |
4,571266 |
|
|
|
|
|
1,726315789 |
6,04 |
4,171266 |
4,171266 |
|
|
|
|
|
1,736842105 |
3,22 |
1,351266 |
1,351266 |
|
|
|
|
|
1,747368421 |
-4,04 |
-5,908734 |
5,908734 |
|
|
|
|
|
1,757894737 |
-7,83 |
-9,698734 |
9,698734 |
|
|
|
|
|
1,768421053 |
-6,12 |
-7,988734 |
7,988734 |
|
|
|
|
|
1,778947368 |
-0,75 |
-2,618734 |
2,618734 |
|
|
|
|
|
1,789473684 |
4,21 |
2,341266 |
2,341266 |
|
|
|
|
|
1,8 |
5,54 |
3,671266 |
3,671266 |
|
|
|
|
|
1,810526316 |
5,91 |
4,041266 |
4,041266 |
|
|
|
|
|
1,821052632 |
0,76 |
-1,108734 |
1,108734 |
|
|
|
|
|
1,831578947 |
-5,23 |
-7,098734 |
7,098734 |
|
|
|
|
|
1,842105263 |
-3,71 |
-5,578734 |
5,578734 |
|
|
|
|
|
1,852631579 |
4,75 |
2,881266 |
2,881266 |
|
|
|
|
|
1,863157895 |
9,48 |
7,611266 |
7,611266 |
|
|
|
|
|
1,873684211 |
9,35 |
7,481266 |
7,481266 |
|
|
|
|
|
1,884210526 |
8,06 |
6,191266 |
6,191266 |
|
|
|
|
|
1,894736842 |
7,02 |
5,151266 |
5,151266 |
|
|
|
|
|
1,905263158 |
4,75 |
2,881266 |
2,881266 |
|
|
|
|
|
1,915789474 |
0,84 |
-1,028734 |
1,028734 |
|
|
|
|
|
1,926315789 |
-0,14 |
-2,008734 |
2,008734 |
|
|
|
|
|
1,936842105 |
-0,27 |
-2,138734 |
2,138734 |
|
|
|
|
|
1,947368421 |
-0,32 |
-2,188734 |
2,188734 |
|
|
|
|
|
1,957894737 |
0,53 |
-1,338734 |
1,338734 |
|
|
|
|
|
1,968421053 |
0,87 |
-0,998734 |
0,998734 |
|
|
|
|
|
1,978947368 |
-0,43 |
-2,298734 |
2,298734 |
|
|
|
|
|
1,989473684 |
0,93 |
-0,938734 |
0,938734 |
|
|
|
|
|
2 |
1,14 |
-0,728734 |
0,728734 |
|
|
|
|
|
2,010526316 |
1,59 |
-0,278734 |
0,278734 |
|
|
|
|
|
2,021052632 |
4,72 |
2,851266 |
2,851266 |
|
|
|
|
|
2,031578947 |
5,23 |
3,361266 |
3,361266 |
|
|
|
|
|
2,042105263 |
6,78 |
4,911266 |
4,911266 |
|
|
|
|
|
2,052631579 |
7,03 |
5,161266 |
5,161266 |
|
|
|
|
|
2,063157895 |
3,66 |
1,791266 |
1,791266 |
|
|
|
|
|
2,073684211 |
1,91 |
0,041266 |
0,041266 |
|
|
|
|
|
2,084210526 |
4,3 |
2,431266 |
2,431266 |
|
|
|
|
|
2,094736842 |
7,25 |
5,381266 |
5,381266 |
|
|
|
|
|
2,105263158 |
8,9 |
7,031266 |
7,031266 |
|
|
|
|
|
2,115789474 |
9,02 |
7,151266 |
7,151266 |
|
|
|
|
|
2,126315789 |
7,81 |
5,941266 |
5,941266 |
|
|
|
|
|
2,136842105 |
9,58 |
7,711266 |
7,711266 |
|
|
|
|
|
2,147368421 |
6,71 |
4,841266 |
4,841266 |
|
|
|
|
|
2,157894737 |
3,83 |
1,961266 |
1,961266 |
|
|
|
|
|
2,168421053 |
-1,74 |
-3,608734 |
3,608734 |
|
|
|
|
|
2,178947368 |
-4,03 |
-5,898734 |
5,898734 |
|
|
|
|
|
2,189473684 |
-0,27 |
-2,138734 |
2,138734 |
|
|
|
|
|
2,2 |
-1,07 |
-2,938734 |
2,938734 |
|
|
|
|
|
2,210526316 |
1,31 |
-0,558734 |
0,558734 |
|
|
|
|
|
2,221052632 |
-0,79 |
-2,658734 |
2,658734 |
|
|
|
|
|
2,231578947 |
-0,23 |
-2,098734 |
2,098734 |
|
|
|
|
|
2,242105263 |
-0,82 |
-2,688734 |
2,688734 |
|
|
|
|
|
2,252631579 |
-1,46 |
-3,328734 |
3,328734 |
|
|
|
|
|
2,263157895 |
1,43 |
-0,438734 |
0,438734 |
|
|
|
|
|
2,273684211 |
2,53 |
0,661266 |
0,661266 |
|
|
|
|
|
2,284210526 |
5,37 |
3,501266 |
3,501266 |
|
|
|
|
|
2,294736842 |
6,94 |
5,071266 |
5,071266 |
|
|
|
|
|
2,305263158 |
2,14 |
0,271266 |
0,271266 |
|
|
|
|
|
2,315789474 |
-1,79 |
-3,658734 |
3,658734 |
|
|
|
|
|
2,326315789 |
1,6 |
-0,268734 |
0,268734 |
|
|
|
|
|
2,336842105 |
4,07 |
2,201266 |
2,201266 |
|
|
|
|
|
2,347368421 |
2,88 |
1,011266 |
1,011266 |
|
|
|
|
|
2,357894737 |
5,13 |
3,261266 |
3,261266 |
|
|
|
|
|
2,368421053 |
4,76 |
2,891266 |
2,891266 |
|
|
|
|
|
2,378947368 |
1,85 |
-0,018734 |
0,018734 |
|
|
|
|
|
2,389473684 |
-0,29 |
-2,158734 |
2,158734 |
|
|
|
|
|
2,4 |
-0,61 |
-2,478734 |
2,478734 |
|
|
|
|
|
3. Wnioski:
W przyrodzie nie istnieje idealnie płaska powierzchnia. Chropowatość jest pojęciem odnoszącym się do nierówności o relatywnie małych odległościach wierzchołków. Przed dokonaniem pomiaru należy oczyścić badaną powierzchnię aby ewentualne zanieczyszczenia znajdujące się na powierzchni nie zafałszowały wyniku. Wielkość chropowatości powierzchni zależy od rodzaju materiału i przede wszystkim od rodzaju obróbki i narzędzia skrawającego jakim obrabiamy powierzchnię.