Monday, April 7, 2014

Reduction gearbox

When the reduction in the rotational speed of the shaft between the prime mover and the driven machine is needed, gear reduces are used.  This change in speed produces corresponding increases in torque on the output shaft of the reducer, permitting relatively small, cheap high speed motors to drive machines requiring substantially higher power and Slower of speed.

Functions

The leverage of the engine over the driving shaft is increased by gear reducers
The engine and can turn more rapidly and generate more power to carry the load more effectively from rest by making use of the gear ratios
The gear box enables the engine to be disengaged from the driving shaft and idle when while the vehicle is stationary
A reverse gear is provided by the gear box that allows the engine to continue to run in the same direction
Types of gears utilised by reduction gear boxes

Spur gears

When spur gears are used, to engage the counter shaft drive gear, the gear must be changed.  If the gears are to be changed quietly, double declutching is usually required.  The disadvantage with spur gears is that gear changing is difficult because only two or three teeth are engaged and the gear been changed as fairly heavy.

Helical toothed gears

These gears are used in synchronised gear boxes.  The gears on the main shaft and the gears of the counter shaft drive gear always remain engaged.  The gears on the main shaft have small straight teeth that correspond with those of the synchronised unit.
This results in less wear on the teeth because all the teeth engage simultaneously instead of only two or three as in sliding gears.  Helical teeth also provide a much quieter drive and because more teeth are engaged, the gears are stronger.  The disadvantage of helical teeth is that they cause a lateral pressure.

Double helical toothed gears

The teeth of double helical toothed gears are cut in two opposing angles around the gear.  This eliminates the lateral pressure and ensures quiet driving.

construction

When arranging a gear train the following must be taken into account:
The space occupied by the gearing
The pitch of the teeth
The total speed reduction required and the largest speed reduction that can be allowed in one step
Speed reducers combine rigidity and strength and are manufactured from case-hardened steel, accurately generated and ground. Shafts are located on dual-purpose bearings of ample capacity. In either direction and at all speeds, there must be a positive lubrication.

worm-gear reduction unit

The worm wheel is driven by a high tensile steel worm and, to provide a smooth reduction, can be coupled directly to the motor shaft.
This type of reduction, when driven by a single start worm, has a ratio of around 40:1.




Saturday, June 9, 2012

Differential Mechanism

The differential mechanism allows a vehicles’ driving wheel to revolve at different speed when going around a corner.

The following diagram represents a bevel wheel differential:







A and B are the two sun gears or equal size which are keyed to the two halves of the rear axle.  The planetary gears revolve on pins carried by the casing or the planetary-gear carrier, shown by the letter C. The drive is transmitted from the driving shaft to the casing through the pinion and crown wheel. The planetary gears mesh with the sun gears which enables the sun gears to revolve in opposite directions if the planetary-gear carrier where to be stationary.

When the vehicle is moving in a straight path, the sun gears and planetary gear carrier revolve at the same speed, whereas the planetary gear remains stationary relative to the planetary gear carrier.

If the vehicle follows a curved path, the sun gears revolve in different speeds and the planetary gear carrier will revolve at a speed that is the arithmetic mean of the speeds of the sun gears. The planetary gears will revolve on their pin.

A conventional differential has the disadvantage in that the power from the engine is directed to the wheel with the least resistance. Furthermore, fitting differing size tyre to the driving wheels would result in continuous operation of the differential mechanism.

A detailed analysis will now be looked at of an unusual form of final drive and rear axle: the rigid axle found in front engine cars with rear wheel drive. Different arrangements exist in independent rear wheel suspension or where the engine is located at the back driving the rear wheels, or where the engine is found at the front driving the front wheels. 
There are two functions which the final drive must perform.
1.      Provide a right-angled drive from the propeller shaft to the road wheels and,
2.      Provide constant speed reduction regardless of the gear engaged in the gearbox.
Fulfilment of the functions is achieved with the use of one set of gears known as the crown wheel and pinion.

The pinion wheel is mounted to the end the propeller shaft and meshes with the crown wheel which is a larger gear. As these are bevel gears, they execute the first function of the final drive in providing a right angled drive. Speed reduction that may be attained is dependent on the ratio of the number of teeth in each wheel. For instance, a ratio of 4:1 means that in top gear, the engine turns 4 times faster than the road wheels. These days, in order to reduce the height of the propeller shaft hump in the floor of the car’s rear compartment, hypoid gears are mainly used.

The drive to the road wheels is not taken directly from the crown wheel, but from a cluster of gears known as the differential. If 2 wheels were driven by one shaft connected directly to the crown wheel, the outcome would be both wheels revolving at the same speed. The implications of this are slipping and sliding, rapid wear of the tyres, and difficulty in steering. The solution to counteract this scenario is having the wheels driven through the differential and joined to it by shafts known as half shafts.

The crown wheel is attached to a frame carrying a pair of bevel pinions. These bevel pinions are free to rotate on their bearings. Two bevel gears, which are mounted on the half shafts, mesh with the pinions. The crown wheel is therefore not connected directly to the half shafts. When the car is travelling in a straight line, the turning crown wheel carries round the frame and bevel pinions with it, and in turn rotates the bevel gears, and therefore the wheels are driven at the same speed.

A cornering car needs the outside wheel to speed up and the inside wheel to slow down. Since the crown wheel and frame are still being driven at constant speed, the bevel pinions are forced to roll round the slowed up bevel gear. As these pinions are rolled, they turn on their bearings and so turn the bevel gear on the outside wheels half shaft, ultimately causing this wheel to turn faster. The amount of speed increased in one wheel is always equal to the amount of speed reduced in the other wheel. The average of the two wheel speeds is equal to the speed at which the crown wheel and frame are rotating.

In the case that one wheel does not have grip, the other will remains stationary and causes the slipping wheel to rotate twice as fast as the crown wheel. Slight operation of the differential can occur with differing tyre pressures or uneven loading.

The final drive, differential, and the half shafts are enclosed in a casing called the axle housing, with the exception of using independent rear suspension.

Other types of final drive


When the engine is mounted at the rear of the car, there will be no propeller shaft as such, and the gearbox is also located at the rear. The differential is either attached to or included in the gearbox, therefore, there is no space for a rigid axle and it cannot be allowed to move up and down with the road wheels. In this case, the half shafts are fitted with universal joints similar to those used on the propeller shaft. This arrangement also applies to cars with independent rear wheel suspension.

Engines mounted at the front and driving the front wheels need a transmission system capable of adapting to the independent suspension as well as the wheels to be steered.
To determine the layout of the front wheel system, the way in which the engine is mounted must be known. The engine may either be mounted in line with the chassis or across it.

For an engine mounted in line with the chassis, the gearbox will also be in line and the conventional type of final drive is required. Both the final drive and gearbox may be in the same casing.

A transversely mounted engine may have the gearbox bolted to it in the conventional way, or the gearbox may be found in the engines sump. If a gearbox is in the engines sump, there is no need for a right angled drive and the crown wheel and pinion are replaced by, for example, a pair of helical gears, one of which carries the differential.

Given that the drive to the wheels must allow for vertical movement of the front wheels on their springs, and, lateral movements of steering, the half shafts are connected to the differential and the wheels using special universal joints known as constant velocity universal joints.

The planet pinions also mesh with the reverse sun gear. For all the forward gears, the turbine of the torque converter drives the forward sun gear, and in reverse, the reverse sun gear.  Power is always transmitted via the ring gear connected to the output shaft, to the final drive. The selection of the various gear ratios required is performed by engagement of hydraulically-operated clutches and brake bands.

The front clutch connects the turbine to the forward sun gear.
The rear clutch connects the turbine to the reverse sun gear.
The freewheel clutch prevents over-run engine braking.
The front brake band holds the reverse sun gear stationary.
The rear brake band holds the planet carrier stationary when engaged.


In a brief and simple summary, the following text will describe how the gearbox works with reference to 5 manually selected conditions of operation.

1.      N- Neutral


All the clutches and brake bands are released; therefore, the gear set is disconnected from the torque converter. There is no transmission of power from the engine to the final drive.

2.      D- Drive


Moving the selector lever to D engages the forward clutch and the turbine drives the forward sun gear. The freewheel clutch prevents the carrier from rotating backwards. The ring gear and output shaft are driven through both sets of planet pinions in the same direction as the sun gear. The reverse sun gear freely spins in the opposite direction while the freewheel clutch prevents over-run engine braking. This occurs in first or bottom gear.

In second gear, the drive is through the forward clutch and forward sun gear, however, the reverse sun gear is held stationary by the front brake band. Consequently, the planet carrier with the pinions is compelled to revolve in the same direction as the forward sun gear. The ring gear is now being driven faster. Over-run braking is provided by the freewheel clutch.

In third gear, the drive remains as previously, but now the rear clutch has operated to connect the drive also to the reverse sun gear. Virtually, both sun gears are locked together and there can be no movement of the gears in the train. The whole set revolves as a solid unit providing direct drive from the turbine to the output shaft.

3.      R- Reverse


With the selector lever at R, the rear clutch is engaged and the turbine drives the reverse gear. The planet carrier is held stationary by the rear brake band so that the ring gear and output shaft are driven through the long planet pinions only. This results in rotation in the opposite direction at lower speed.

4.      L- Lock-up


In L, the drive is via the forward clutch and forward sun gear but the rear brake band holds the planet carrier stationary. The ring gear is driven through the planet pinions as in all forward gears except that now there is no freewheel. This allows for maximum engine braking when descending steep hills.

5.      P- Park


In addition to releasing all clutches and brake bands, a pawl is engaged with the outer teeth of the ring gear, therefore, locking the output shaft and immobilising the vehicle.




Thursday, June 7, 2012

Epicyclic gears and gear trains

Epicyclics made up of spur gears 


 A simple epicyclic train



 A is the annular wheel which has internal teeth P is a plant wheel L is an arm, star or spider which carries pins on which the planet wheels can rotate freely. S, the sun wheel, rotates about the same axis as A The input and output shafts are then connected to any two of the sun, arm or annulus.

Epicyclics made up of bevel gears


 Epicyclic bevel gear train

In bevel gearing, the axes of the shafts intersect. Q represents the fixed wheel which meshes with R, the pinion. T is the wheel found on the driven shaft and meshes with the pinion shown at S. R and S pinions are keyed to a shaft revolving in bearings on the arm P. P, the arm, is then keyed to the driving shaft.

 Application of epicyclic gears


 Epicyclic gear trains are used when there is the need for large reductions in speed and limited space availability. Some examples of where these can be found are:
 • Gearboxes
 • Steam driven generators or gas turbines
 • Compressor drives
 • Mine hoists
 • Water turbine drives and marine drives

Principle of a typical epicyclic system



Epicyclic gears, also known as planetary gears, utilize gears which rotate about their own axis and at the same time rotate bodily around a main axis. The planetary gears are mounted on a carrier and mesh with a gear in the centre, called the sun gear, as well as with an internally toothed large ring gear. The planetary gears therefore rotate around the sun gear. If the sun gear were to be held stationary, and the ring gear rotated, the planetary gears move around the sun gear and therefore take the carrier with them. The carrier rotates in the same direction as the ring gear, however, at a reduced speed, which depends on the gear ratio. On the other hand, if the carrier is held stationary, the plant gears will drive the sun gear in the reverse direction to the ring gear and results in having a normal gear train.

 Simple two-speed epicyclic gearbox


The sun gear is driven by an engine and the ring and two planet gears or pinions are mounted on a carrier. The carrier is connected to a shaft which drives the road wheels. The planet gears mesh with the sun gear and the ring gear. When required, a brake band enables the ring gear to be locked stationary. Assume the ring gear is free to revolve. When the sun gear is driven, the planet gears will freely spin and therefore slowly rotate the ring gear. This means the carrier will not move and therefore the gearbox is in neutral. If the brake band locks the ring gear, this results in the planet gears being forced to rotate inside it. The planet carrier is carried around in the same direction as the sun gear at a reduced speed which is dependent on the ratio of the number of teeth in the sun and ring gears. If the ring and sun gears are locked with use of a clutch system and the brake band is released, the planet gears cannot spin and the carrier therefore rotates at the same speed as the sun and ring gears. This results in a direct drive from the engine to the road wheels. In the following epicyclic gear train, the final drive is connected to the ring gear and the carrier is locked to provide drive through the planet gears. Although a different method is used to rotate the planet gears inside the ring gear, the principles involved are the same. Two sun gears of different diameters are used; one is the forward sun gear and the second the reverse sun gear. Mounted to the single carrier are two sets of planet gears; one set is known as the planet pinions short which meshes with both the sun gear and the other set known as the planet pinions long.

The cyclometer mechanism


 This mechanism is used to measure the distance travelled by a bicycle. C and D are the internal wheels and are coaxial. C is fixed. A-B is the compound wheel and is free to revolve on a pin at E. The wheel A meshes with C whereas wheel B meshes with D. The star wheel, S, is operated by a striker fixed to the bicycle wheel and is carried on the driving shaft. For each revolution of the bicycle wheel, the star S makes one fifth of a revolution. The wheel D completes one revolution for every 0, 6 km travelled by the bicycle wheel.

Humpage’s gear


Bevel wheel epicyclic The driving and driven shafts A and B are coaxial, each carrying a bevel wheel C and D. The wheel C meshes with E and F with the fixed wheel G. Wheel D meshes with which is compound with E. The compound wheel E-F freely revolves on the arm attached and revolves about the same axis as the shafts A and B. In the actual gear there are either 2 or 3 arms on H each carrying a compound wheel identical with E and F. This gear is used sometimes on lathes. The mechanism is compact and can be accommodated inside the cone pulley.