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 |
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