ME‐205 : Element of machine dynamics and design Machine dynamics : Chain Drives Dr. Muhammad Wasif Assistant Professor – I.M.D. Ph.D. (CAD/CAM – Canada), M.Engg. (Mfg. Engg. – NEDUET), B.E. (Mech. Engg. – NED UET). Member ASME and PEC Room : 1st on LHS of main corridor, ground floor – IM Building 1 Chain Drives • Roller chain is mostly used to transmit power. • A chain is a power transmission element made as a series of pin‐connected links. • Load is applied by the driving sprocket on the chain, the load is transmitted to a bushing, pin, and pair of link plates, pins and link plates push the driven sprocket to run. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 2 Chain Drives ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 3 Chain Drives ‐ Advantages • Due to no slippage, constant velocity is obtained. • Less width is occupied, due to metal strength. • Can be used for short as well as long center distances. • High transmission efficiency (97‐99%). • One chain can transfer power to multiple shafts. • Can be operated at high temperature. • Permits high speed ratio of 8 to 10. • Multiple reduction stages are made, for high reduction ratio. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 4 Chain Drives ‐ Limitations • Installation and component cost is higher. • Require maintenance and lubrication. • Velocity fluctuation occurs, when mounted inaccurately. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 5 Chain Drives – Roller chains Roller dia (d) b1 ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 6 Chain Drives ‐ Nomenclature • Pitch Is the distance between the centers of two adjacent pins. • Pitch circle radius (rc) Distance between the pin center and the center of sprocket, when the hinge is meshed with that sprocket. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 7 Chain Drives ‐ Classification • Hoisting and hauling (or crane) chains ‐ Can be used up to 0.25m/s ‐ Two types : Oval and square links • Conveyor Chains ‐ Used for elevating and conveying within 0.8 to 3m/s. ‐ Two types : Detachable or hook joint, closed joint type. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 8 Chain Drives ‐ Classification • Power Transmitting Chains ‐ ‐ ‐ ‐ ‐ Used for short center distance. Three types : Block or bush chain Bush roller chain Silent chain ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 9 Chain Drives – Lubrication • The performance of chain assembly is improved by proper lubrication. It reduces the friction and act as a coolant. • Improper lubrication produces premature chain failure. • Lubrication types depend upon the speed and environment. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 10 Chain Drives – Lubrication • Manual lubrication : Lube is applied periodically using brush or oil can. e.g. cycle or bike chain. • Drip lubrication : oil drips with sufficient flow is directed on the chain. e.g. Conveyor chains, engine. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 11 Chain Drives – Lubrication • Bath or Disc lubrication : chain runs through an oil sump or bath in the drive housing. In disc lubrication, a disc picks up the oil and deposit on chain. Oil level is to be maintained in these cases. • Stream lubrication : Some nozzles attached with supply of oil, are set on chain to spray the oil on chain near sprocket engagement. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 12 Chain Drives – Roller chains ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 13 Roller chains ‐ Recommendations • 17, , 120 = No. of teeth on small, large sprocket • Velocity Ratio (V.R.) = n1⁄n 2 7 • 30 pitches center distance (C) 50 pitches • Pitch (p) should be even. • Chain length (L)=2C ∙ ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 14 Roller chains – problem solving steps 1. Specify a service factor and compute the design power. Ks=K1.K2.K3 ; Pt=Ks x P Multiple strand factor (1,2,3) ‐ Km=1.7, 2.5, 3.3 – Pt/Km ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 15 Roller chains ‐ Calculation 2. Compute the velocity ratio. V.R. = n1/n2 3. Select the chain pitch, and rpm of smaller sprocket. 16 ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) Roller chains ‐ Calculation ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 17 Roller chains ‐ Calculation 4. Number of teeth of small sprocket. 5. Pitch of the chain 18 Roller chains ‐ Calculation Roller dia (d) b1 ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 19 Roller chains ‐ Calculation 6. Compute number of teeth of larger sprocket. T2 = T1 V.R (check in catalogue) 7. Compute the actual expected output speed n2= n1 (T1/T2) 8. Compute the pitch diameters of the sprockets. °⁄ °⁄ 9. Compute the length of the chain (L). ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 20 Roller chains ‐ Calculation 10. Corrected center distance. 1 ∙ 4 2 8∙ 2 2 11. Compute the angle of wrap of the chain for each sprocket 180 ° 2. − /2 180 ° 2. − /2 ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 21 Roller chains ‐ Calculation Design a chain drive for a heavily loaded coal conveyor to be driven by a gasoline engine through a mechanical drive. The input speed will be 900 rpm, and the desired output speed is 230 to 240 rpm. The conveyor requires 15.0 hp. (variable load with mild shock, 20 hr) 1. Ks=1.25(.8)(1.4)=1.4; Pt=Ks x P = 1.4 x 15 = 21hp 2. V.R. = n1/n2 = 900/235 = 3.83 3. Pt = 15hp = 21hp x 0.7456 kW/hp = 15.6576kW ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 22 Roller chains ‐ Calculation 3. Select the chain pitch, and rpm of smaller sprocket. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 23 Roller chains ‐ Calculation 4. Number of teeth on sprockets. 5. Pitch 24 Roller chains ‐ Calculation 6. T2= T1 x V.R = 23 x 3.83 = 88.09 89 7. n2= n1x(T1/T2) = 900(23/89) = 232.58 rpm Range given 230‐240 – OK 8. °⁄ °⁄ = = . °⁄ . °⁄ 139.902mm 539.790mm ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 25 Roller chains ‐ Calculation 9. Length of the chain C = 40pitch (30 to 50 is recommended) L 2C L L 138.757pitch 140 pitches (even recommended) 140(19.05) 2667 mm ∙ Corrected center distance C C ∙ 8∙ 40.64 pitch C = 40.64(19.05) = 774.248mm ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 26 Roller chains ‐ Calculation 10. Angle of wrap 180 ° 2. − /2 = 175.114° 180 ° 2. − /2 184.885° ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 27 Design summary 539.790mm 139.902mm 175.114 184.885° ° 774.240mm Chain Pitch : No. 12B, 19.05mm Length : 140pitches = 2667mm Center distance : 774.24mm maximum Sprockets : Single strand, No. 12B, 19.05mm pitch Small : 23 teeth, D = 139.902mm Large : 89 teeth, D = 539.790mm Lubrication Bath lubrication is recommended due to 1000 rpm, large sprocket dip in bath. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 28 Compact Redesign 1. Transmitted power (design for 3 strands) Km=3.3 Pt = 15.6576/3.3 = 4.745kW 2. V.R. = 3.83 3. Chain selection 29 Roller chains ‐ Calculation 4. Number of teeth on sprockets. 5. Pitch 30 Roller chains ‐ Calculation 6. T2= T1 x V.R = 23 x 3.83 = 88.09 89 7. n2= n1x(T1/T2) = 900(23/89) = 232.58 rpm Range given 230‐240 – OK 8. °⁄ °⁄ = = . °⁄ . °⁄ 93.268mm 359.860mm ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 31 Roller chains ‐ Calculation 9. Length of the chain C = 35pitch (30 to 50 is recommended) L 2C L L 129.151pitch 130 pitches (even recommended) 130(12.7) 1651mm ∙ Corrected center distance C C ∙ 8∙ 35.443 pitch C = 35.443(12.7) = 450.137mm ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 32 Roller chains ‐ Calculation 10. Angle of wrap 180 ° 2. − /2 = 171.592° 180 ° 2. − /2 188.408° ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 33 Design summary 359.860mm 93.268mm 171.592 188.408° ° 450.137mm Chain Pitch : No. 08B, 12.7mm Length : 130pitches = 1651mm Center distance : 450.137mm maximum (41.86% reduced) Sprockets : three strand, No. 08B, 12.75mm pitch Small : 23 teeth, D = 93.268mm (33.33% reduced) Large : 89 teeth, D = 359.860mm (33.33% reduced) Lubrication Bath lubrication is recommended due to 1000 rpm, large sprocket dip in bath. ME‐205, Elements of Machine design and dynamics, conducted by Dr. Muhammad Wasif (Asst. Professor ‐ IMD, NEDUET) 34 Refernces • • • • • • • R.S. Khurmi, G.K. Gupta, 2005, A text book of machine design, New Dehli‐ India, EURASIA PUBLISHING HOUSE. R. G. Budynass, J.K. Nisbett, 2005, Shigley’s Mechanical Engineering Deisgn, New York –USA, McGraw Hill. R. L. Mott, 2004, Machine Elements in Mechanical Design, USA, Pearson Prentice‐ Hall. R. L. Norton, 1996, Machine design an integrated approach, NJ USA, Prentice‐Hall. B. J. Hamrock, B. O. Jacobson, S. R. Schmid, 1999, Fundamental of Machine Elements, New York –USA, McGraw‐Hill. U. C. Jinbal, 2010, Machine Design, India, Pearson . R. O. Parmley, 2005, Machine devices and components, USA, McGraw‐Hill. 35