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Analysis of engineering system by means of graph representation

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Presentation on theme: "Analysis of engineering system by means of graph representation"— Presentation transcript:

1 Analysis of engineering system by means of graph representation
12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity 12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity

2 Building the corresponding graph representation
12 1 S C P C D 14 E 15 O 1 ,2 B P 1 1 12 13 A 2 4 V 16 - initial velocity O 2 15 S C F G F 3 A 7 9 13 14 15 12 O E D 8 10 P 2 12 1 S C P 5 O O 1 2 3 4 5 6 P B O 17 A 3 ,5 2 15 S C F 7 8 9 10 P 2 16 G F 11 F 6 7 S C

3 Choosing the spanning forest
12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity P P D C S P 1 12 14 17 1 13 1 E O B 12 3 O 15 2 4 9 F F 5 6 G F C S A 15 2 8 G i P 2 7 16 10 F F 11 C 7 S 6

4 Dividing into two groups of edges – EF and E
12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity 6 7 S C F 1 2 3 4 5 13 14 15 12 8 9 10 P 16 B O A G i E D 11 17

5 Building two auxiliary subgraphs
Building two auxiliary subgraphs. G is obtained by removing the edges of EF 12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity 1 O B 3 2 4 5 6 F A G i P 2 G 16 11

6 Building two auxiliary subgraphs
Building two auxiliary subgraphs. GF is obtained by contracting the edges of E 12 1 S C P E A 14 7 9 13 2 3 4 5 15 F 10 8 D O G B ,2 ,5 V 16 - initial velocity 13 14 15 12 7 8 9 G O E D 17 1 13 14 15 12 7 8 9 10 16 P G O i E D 17 2 3 4 5 6 B O A F G GF P 2 11

7 Constructing the analysis equations in accordance with the two graphs and the spanning forest


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