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Gear Drives Gears are toothed members which transmit power / motion between two shafts by meshing without any slip. Hence, gear drives are also called positive drives. In any pair of gears, the smaller one is called pinion(Driver) and the larger one is called gear(Driven) immaterial of which is driving the other. When pinion is the driver, it results in step down drive in which the output speed decreases and the torque increases. On the other hand, when the gear is the driver, it results in step up drive in which the output speed increases and the torque decreases.

Gears

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Page 1: Gears

Gear Drives• Gears are toothed members which transmit power / motion between

two shafts by meshing without any slip. Hence, gear drives are also called positive drives.

• In any pair of gears, the smaller one is called pinion(Driver) and the larger one is called gear(Driven) immaterial of which is driving the other.

• When pinion is the driver, it results in step down drive in which the output speed decreases and the torque increases. On the other hand,

• when the gear is the driver, it results in step up drive in which the output speed increases and the torque decreases.

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• Speed ratio is given by the formula. • Let, N1 and N2 be the speed of driving and driven respectively • ω1 and ω2 be the angular velocities of driving and driven respectively • D1 and D2 be the diameters of driving and driven respectively • t1 and t2 be the number of teeth of driving and driven respectively • Then • N1/N2 =ω1/ω2= t2/t1= D2/D1 • Power =T*ω=2πNT/60 CLASSIFICATION OF GEARS • Gears are classified according to the shape of the tooth pair and disposition into spur, helical, double helical, straight bevel, spiral bevel and hypoid bevel, worm and spiral

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PARALLEL SHAFTS

• Regardless of the manner of contact, uniform rotary motion between two parallel shafts is equivalent to the rolling of two cylinders, assuming no slipping. • Depending upon the teeth of the equivalent cylinders i.e. straight or helical, following are the main types of gears to join parallel shafts: SPUR GEARS • Spur gears have their teeth parallel to the axis and are used for transmitting power between two parallel shafts.• They are simple in construction, easy to manufacture and cost is less. they have highest efficiency and excellent precision rating.

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HELICAL GEARS • Helical gears are used for parallel shaft drives. They have teeth inclined to the axis.• For the same width, their teeth are longer than spur gears and have higher load carrying capacity. • Their contact ratio is higher than spur gears and they operate smoother and quieter than spur gears. Their precision rating is good. • They are recommended for very high speeds and loads. Thus, these gears find applications in automotive gear boxes.• Efficiency is slightly lower than spur gears.

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DOUBLE HELICAL GEAR OR HERRINGBONE GEAR:

• Double helical or Herringbone gears used for transmitting power between two parallel shafts. • They have opposing helical teeth with or without a gap depending on the manufacturing method adopted.• Axial thrusts oppose each other and nullify. Hence the shaft is free from any axial force. • Though their load capacity is very high, manufacturing difficulty makes them costlier than single helical gear. •

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INTERNAL SPUR GEAR

•Internal gears are used for transmitting power between two parallel shafts. •In these gears, annular wheels are having teeth on the inner periphery. This makes the drive very compact Fig. •In these drives, the meshing pinion and annular gear are running in the same direction•Their precision rating is fair. They are useful for high load and high speed application with high reduction ratio.• Applications of these gears can be seen in planetary gear drives of automobiles, automatic transmissions, reduction gearboxes of cement mills, step up drives of wind mills.

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• Rack is a segment of a gear of infinite diameter. • The tooth can be spur as in Figure. • This type of gearing is used for converting rotary motion into translatory motion or visa versa. • Typical example of rack and pinion are lathe carriage.

Spur Rack and Pinion

INTERSECTING SHAFTS

•Kinematically the motion between two intersecting shafts is equivalent to the rolling of two cones, assuming no slipping. The gears, are knows as bevel gears. •When teeth formed on the cones are straight, the gears are known as straight bevel and inclined, they are know as spiral or helical bevel gear

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STRAIGHT BEVEL GEAR• Straight bevel gears are used for transmitting power between intersecting shafts. • They can operate under high speeds and high loads. Their precision rating is fair to good. • They are suitable for 1:1 and higher velocity ratios.• Wide application of the straight bevel drives is in automotive differentials, right angle drives of blenders and conveyors.• A typical application of straight bevel used in differential gear application in automobiles.

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SPIRAL BEVEL GEAR

• Spiral bevel gears are also used for transmitting power between intersecting shafts.• Because of the spiral tooth, the contact length is more and contact ratio is more. • They operate smoother than straight bevel gears and have higher load capacity.• Their efficiency is slightly lower than straight bevel gear. • Usage of spiral bevel gears in an automobile differential.

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WORM GEAR• Worm and worm gear pair consists of a worm, which is very similar to a screw and a worm gear, which is a helical gear as shown in Figure.• They are used in right-angle skew shafts. • In these gears, the engagement occurs without any shock. The sliding action prevalent in the system while resulting in quieter operation produces considerable frictional heat. • High reduction ratios from 8 to 400 are possible.

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• Efficiency of these gears is low anywhere from 90% to 40%. • Higher speed ratio gears are non-reversible. • Their precision rating is fair to good. They need good lubrication for heat dissipation and for improving the efficiency.• The drives are very compact. Worm gearing finds wide application in material handling and transportation machinery, machine tools, automobiles etc.

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• To transmit power between two shafts fitted with pulleys /sprockets• Are used where the distance between the shafts is large• Are flexible type of connectors• Belts and ropes transmit power due to friction between them and pulleys• Tensions are developed in them• Owing to slipping and staining action, belts and ropes are not positive drives.

Belts, Ropes & Chains

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Belt drive

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Belt driveAdvantages of V-belts• Positive drive as slip is negligible• Endless, no joint troubles• Operation is smooth and quite• High velocity ratio up to 10 can be obtained• Multiple V-belt drive increases the power transmission manifold• May be operated in either direction• Can be easily installed and removed

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Belt drive

Disadvantages of V-Belts are:• Cannot be used for large centre distances• Construction of pulleys is not simple• Not as durable as flat belts• Costlier as compared to flat belts

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Rope Drive

• Pulleys with several grooves can be employed to increase the capacity of power transmission, By two ways:1.Using a continuous rope passing from one pulley to the other and back again to the same pulley in the next grove, and so on2.Using one rope for each pair of grooves

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Types of bets drives

• Open Belt drive

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• Crossed Belt drive

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• Quarter turn belt drive

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• Compound drive

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Belt Drive

• Velocity RatioLength of belt passing driver pulley = length of belt passing driven pulley N2/N1 = D1/D2

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Belt Drive

• Velocity ratio of compound Belt drive

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MaterialsFlat Belts– Leather belts– Fabric belts-cotton/canvas– Rubber beltsV-Belts- Rubber impregnated fabricRopesCotton, Hemp, Manila or Wire

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Power transmitted by BeltP = Net force x distance moved/second= (T1-T2)V Watts

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Ratio of Driving Tensions for flat belt

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Chain Drive

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Chains• Regarded between belts and gears – metallic yet transmitted at longer distance• Advantages– Constant velocity ratio, no slip, positive drive– No effect of over load on velocity ratio– Oil or grease on surfaces does not affect Velocity ratio– Chains occupy less space– Lesser loads are put on the shafts– High transmission efficiency due to no slip

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Chain Drive• Disadvantages– It is heavier as compared to the belt– There is a gradual stretching and increase in length of chains– Lubrication of its parts is required– Chains are costlier as compared to belts

• Types– Hoisting chains– Conveyor chains– Power transmission chains – Block chain, Roller chain and Silent chain