Balancing of Planar Eight –Bar Mechanism using Genetic Algorithm

Table 1.

Original and optimized parameters ofeight-bar mechanism

Sl. No.

Parameter

Description

Original Value

Optimized Value

1

r1(mm)

Length of fixed link

600

540

2

r2(mm)

Length of crank

100

90

3

r3(mm)

Length of coupler

400

450

4

r4(mm)

Length of follower

320

270

5

r7(mm)

Length of fixed link

500

450

6

r5(mm)

Length of coupler

500

450

7

r6(mm)

Length of follower

330

330

8

r10(mm)

Length of fixed link

600

540

9

r8(mm)

Length of coupler

550

500

10

r9(mm)

Length of follower

400

360

11

m2 (kg)

Mass of crank

0.36

0.36

12

m3(kg)

Mass of coupler

1.296

0.75

13

m4 (kg)

Mass of follower

1.046

0.75

14

m5 (kg)

Mass of coupler

0.36

0.36

15

m6 (kg)

Mass of follower

1.046

0.75

16

m8 (kg)

Mass of coupler

0.36

0.36

17

m9 (kg)

Mass of follower

1.046

1.046

18

δ2 (degree)

Structural angle of crank

0

0

19

δ3 (degree)

Structural angle of coupler

0

329

20

δ4 (degree)

Structural angle of follower

0

0.016

21

δ5 (degree)

Structural angle of coupler

0

0

22

δ6 (degree)

Structural angle of follower

0

355

23

δ8 (degree)

Structural angle of coupler

0

0

24

δ9 (degree)

Structural angle of follower

0

0355

25

Ig2 (kg m2)

Inertia moment of crank

4.13 x 10-4

2.0 x10-4

26

Ig3?(kg m2)

Inertia moment of coupler

1.87 x 10-2

0.008

27

Ig4?(kg m2)

Inertia moment of follower

9.87 x 10-3

0.02

28

Ig5 (kg m2)

Inertia moment of coupler

1.87 x 10-2

0.0187

29

Ig6(kg m2)

Inertia moment of follower

9.87 x 10-3

9.85 x 10-3

30

Ig8 (kg m2)

Inertia moment of coupler

1.87 x 10-2

0.018

31

Ig9 (kg m2)

Inertia moment of follower

9.87 x 10-3

0.00985

32

rg2(mm)

Position vector of crank

50

50

33

rg3(mm)

Position vector of coupler

200

200

34

rg4(mm)

Position vector of follower

160

160

35

rg5(mm)

Position vector of coupler

200

200

36

rg6(mm)

Position vector of follower

160

145

37

rg8(mm)

Position vector of coupler

200

180

38

rg9(mm)

Position vector of follower

160

162