Beat up motion in weaving machines
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Modern Developments in Weaving Technology Beat up motion practical exercise & Answer Sley Eccentricity Sley Displacement Sley Displacement Vs Crank Shaft Rotation Sley Velocity Sley Velocity Vs Crank Shaft Rotation Sley Acceleration Sley Acceleration Vs Crank Shaft Rotation Calculations for Textima Loom
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Beat up motion in weaving machines
- 1. Kalarooban S. 171022R TT4390 - Modern Developments in Weaving Technology Practical 01: Beat-Up Motion -------------------------------------------------------------------------------------------------------------------------------------- Data TEXTIMA BUTTERWORTH AND DICKINSON HOKURIKU Radius of the crank (r) 75 mm 65 mm 50 mm Length of the crank arm (l) 195 mm 300 mm 485 mm RPM (n) 220 100 120 Beat-up angle (𝜶𝜶𝑩𝑩) 240 240 240 Sley Eccentricity (e) 𝑒𝑒 = 𝑟𝑟 𝑙𝑙 Textima 𝑒𝑒 = 𝑟𝑟 𝑙𝑙 = 75 𝑚𝑚𝑚𝑚 195 𝑚𝑚𝑚𝑚 = 0.38 Butterworth and dickinson 𝑒𝑒 = 𝑟𝑟 𝑙𝑙 = 65 𝑚𝑚𝑚𝑚 300 𝑚𝑚𝑚𝑚 = 0.21 Hokuriku 𝑒𝑒 = 𝑟𝑟 𝑙𝑙 = 50 𝑚𝑚𝑚𝑚 485 𝑚𝑚𝑚𝑚 = 0.10
- 2. Sley Displacement 𝑆𝑆 = 𝑅𝑅(1 − 𝐶𝐶𝐶𝐶𝐶𝐶𝛼𝛼𝐵𝐵) + 1 2 ∗ 𝑅𝑅2 𝐿𝐿 𝑆𝑆𝑆𝑆𝑆𝑆2 𝛼𝛼𝐵𝐵 Textima 𝑆𝑆 = 75 𝑚𝑚𝑚𝑚(1 − 𝐶𝐶𝐶𝐶𝐶𝐶240) + 1 2 ∗ (75 𝑚𝑚𝑚𝑚)2 195 𝑚𝑚𝑚𝑚 𝑆𝑆𝑆𝑆𝑆𝑆2 240 = 8.87 𝑚𝑚𝑚𝑚 Butterworth and dickinson 𝑆𝑆 = 65 𝑚𝑚𝑚𝑚(1 − 𝐶𝐶𝐶𝐶𝐶𝐶240) + 1 2 ∗ (65 𝑚𝑚𝑚𝑚)2 300 𝑚𝑚𝑚𝑚 𝑆𝑆𝑆𝑆𝑆𝑆2 240 = 6.78 𝑚𝑚𝑚𝑚 Hokuriku 𝑆𝑆 = 50 𝑚𝑚𝑚𝑚(1 − 𝐶𝐶𝐶𝐶𝐶𝐶240) + 1 2 ∗ (50 𝑚𝑚𝑚𝑚)2 485 𝑚𝑚𝑚𝑚 𝑆𝑆𝑆𝑆𝑆𝑆2 240 = 4.74 𝑚𝑚𝑚𝑚 Sley Displacement Vs Crank Shaft Rotation Sley Velocity 𝑉𝑉 𝑠𝑠 = 𝜋𝜋𝜋𝜋 30 𝑅𝑅 �𝑠𝑠𝑠𝑠𝑠𝑠𝛼𝛼𝐵𝐵 + 𝑅𝑅 2𝐿𝐿 𝑠𝑠𝑠𝑠𝑠𝑠2𝛼𝛼𝐵𝐵� Textima 𝑉𝑉 𝑠𝑠 = 𝜋𝜋 ∗ 220 30 ∗ 75 𝑚𝑚𝑚𝑚 �𝑠𝑠𝑠𝑠𝑠𝑠240 + 75 𝑚𝑚𝑚𝑚 2 ∗ 195 𝑚𝑚𝑚𝑚 𝑠𝑠𝑠𝑠𝑠𝑠480� = 70.42 𝑐𝑐𝑐𝑐𝑠𝑠−1 Butterworth and dickinson 𝑉𝑉 𝑠𝑠 = 𝜋𝜋 ∗ 100 30 ∗ 65 𝑚𝑚𝑚𝑚 �𝑠𝑠𝑠𝑠𝑠𝑠240 + 65 𝑚𝑚𝑚𝑚 2 ∗ 300 𝑚𝑚𝑚𝑚 𝑠𝑠𝑠𝑠𝑠𝑠480� = 27.76 𝑐𝑐𝑐𝑐𝑠𝑠−1
- 3. Hokuriku 𝑉𝑉 𝑠𝑠 = 𝜋𝜋 ∗ 120 30 ∗ 50 𝑚𝑚𝑚𝑚 �𝑠𝑠𝑠𝑠𝑠𝑠240 + 50 𝑚𝑚𝑚𝑚 2 ∗ 485 𝑚𝑚𝑚𝑚 𝑠𝑠𝑠𝑠𝑠𝑠480� = 25.59 𝑐𝑐𝑐𝑐𝑠𝑠−1 Sley Velocity Vs Crank Shaft Rotation Sley Acceleration 𝑎𝑎𝑠𝑠 = � 𝜋𝜋 ∗ 𝑛𝑛 30 � 2 ∗ 𝑅𝑅 �𝑐𝑐𝑐𝑐𝑐𝑐𝛼𝛼𝐵𝐵 + 𝑅𝑅 𝐿𝐿 𝑐𝑐𝑐𝑐𝑐𝑐2𝛼𝛼𝐵𝐵� Textima 𝑎𝑎𝑠𝑠 = � 𝜋𝜋 ∗ 220 30 � 2 ∗ 75 𝑚𝑚𝑚𝑚 �𝑐𝑐𝑐𝑐𝑐𝑐240 + 75 𝑚𝑚𝑚𝑚 195 𝑚𝑚𝑚𝑚 𝑐𝑐𝑐𝑐𝑐𝑐480� = 4661.1 𝑐𝑐𝑐𝑐𝑠𝑠−2 Butterworth and dickinson 𝑎𝑎𝑠𝑠 = � 𝜋𝜋 ∗ 100 30 � 2 ∗ 65 𝑚𝑚𝑚𝑚 �𝑐𝑐𝑐𝑐𝑐𝑐240 + 65 𝑚𝑚𝑚𝑚 300 𝑚𝑚𝑚𝑚 𝑐𝑐𝑐𝑐𝑐𝑐480� = 754.52 𝑐𝑐𝑐𝑐𝑠𝑠−2 Hokuriku 𝑎𝑎𝑠𝑠 = � 𝜋𝜋 ∗ 120 30 � 2 ∗ 50 𝑚𝑚𝑚𝑚 �𝑐𝑐𝑐𝑐𝑐𝑐240 + 50 𝑚𝑚𝑚𝑚 485 𝑚𝑚𝑚𝑚 𝑐𝑐𝑐𝑐𝑐𝑐480� = 775.77 𝑐𝑐𝑐𝑐𝑠𝑠−2
- 4. Sley Acceleration Vs Crank Shaft Rotation Calculations for Textima Loom Length of the Beat-up Zone (𝜆𝜆) 𝜆𝜆 = 𝐵𝐵𝑓𝑓 𝐵𝐵𝑠𝑠 �𝑅𝑅(1 − 𝐶𝐶𝐶𝐶𝐶𝐶𝛼𝛼𝐵𝐵) + 1 2 ∗ 𝑅𝑅2 𝐿𝐿 𝑆𝑆𝑆𝑆𝑆𝑆2 𝛼𝛼𝐵𝐵� 𝐵𝐵𝑓𝑓 = 820𝑚𝑚𝑚𝑚 𝛼𝛼𝐵𝐵 = 240 𝐵𝐵𝑠𝑠 = 715𝑚𝑚𝑚𝑚 𝜆𝜆 = 820 𝑚𝑚𝑚𝑚 715 𝑚𝑚𝑚𝑚 �75 𝑚𝑚𝑚𝑚(1 − 𝐶𝐶𝐶𝐶𝐶𝐶240) + 1 2 ∗ 75 𝑚𝑚𝑚𝑚2 195 𝑚𝑚𝑚𝑚 𝑆𝑆𝑆𝑆𝑆𝑆2 240� = 10.17 𝑚𝑚𝑚𝑚 𝑃𝑃 = 𝜆𝜆(𝐶𝐶1 + 𝐶𝐶2) 𝐶𝐶1 = 150 𝐾𝐾𝐾𝐾𝐾𝐾 𝑐𝑐𝑐𝑐 𝐶𝐶2 = 200 𝐾𝐾𝐾𝐾𝐾𝐾 𝑐𝑐𝑐𝑐 𝑃𝑃 = 1.017 ∗ (150 + 200) = 355.95 𝐾𝐾𝐾𝐾𝐾𝐾 𝜔𝜔𝑠𝑠 = 𝜋𝜋 ∗ 𝑅𝑅𝑅𝑅𝑅𝑅 30 𝑟𝑟𝑟𝑟𝑟𝑟𝑠𝑠−1 𝜔𝜔𝑠𝑠 = 𝜋𝜋 ∗ 220 30 𝑟𝑟𝑟𝑟𝑟𝑟𝑠𝑠−1 = 23.03 𝑟𝑟𝑟𝑟𝑟𝑟𝑠𝑠−1
- 5. 𝐸𝐸 = 𝐼𝐼𝜔𝜔𝑠𝑠 2 2 𝐼𝐼 = 350𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝑠𝑠2 𝐸𝐸 = 350 ∗ 23.032 2 = 92816.65 𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾 𝜀𝜀 = 𝑎𝑎𝑠𝑠 𝐵𝐵𝑠𝑠 𝜀𝜀 = 4661.1 𝑐𝑐𝑐𝑐𝑠𝑠−2 71.5 𝑐𝑐𝑐𝑐 = 65.19 𝑠𝑠−2 𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹 𝑜𝑜𝑜𝑜 𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼 = 𝐼𝐼𝐼𝐼 𝐵𝐵𝑓𝑓 𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹𝐹 𝑜𝑜𝑜𝑜 𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼𝐼 = 350𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝐾𝑠𝑠2 ∗ 0.38 82.0 𝑐𝑐𝑐𝑐 = 1.62 𝐾𝐾𝐾𝐾𝐾𝐾𝑠𝑠2