Mechanical Systems

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Tools and Machines have enabled humans to adapt and control their environment. 

From the earliest times, humans have used tools to extend their capabilities. 

Some tools have remained virtually unchanged over a several centuries, whilst others have been modified and developed in order to exploit the energy resources available

Some of the earliest  known tools were simple mechanisms

The technological advances humans have made through the ages, have been closely linked with their ability to harness energy and use it to perform mechanical work.

Machines have become so important in our lives today that we have a machine to do almost every task imaginable. Because we have so many machines around us we often do not notice them or even realize that some of these devices are machines. 

To understand machines we don’t have to look at exotic or expensive devices. We all use a variety of machines every day. 

We may call these things many different names but they are really very simple machines.

They use one of three basic movements, either singularly or combined. The three basic movements are :
Movement in a straight line  (linear or reciprocating)
Movement in an arc (oscillating)
Movement about a centre

These movements are made by mechanisms such as screw-threads, lever arms, wheels, pivots, etc. 
Although humans are extremely versatile creatures, our size, structure and limited muscle power put severe limitations on our capabilities. These physiological limitations stop us doing many tasks unaided. When situations arise which are beyond our normal capabilities, humans have always turned to technology for a solution.

Some early structures such as the Pyramids,  the Easter Island Statues and Stonehenge were designed and built by early civilizations with very little technology 

These and many other monuments were not only very large but were constructed of very heavy materials. To this day we still don’t know precisely how the stones they used were moved or lifted, but many attempts have been made to duplicate these efforts with little success.

The only sensible answer is that they must have made use of early machines and mechanisms

All mechanisms are based on what ancient philosophers called the Five Basic Machines. The five basic machines are the five simplest machines which form the basis of all the other machines developed throughout human history. They are :

The Wheel

The Lever

The Inclined Plane

The Wedge

The Screw

The five basic machines mentioned above were intended to supplement human muscle; they enhanced early human capabilities and allowed them do do things which would otherwise have been impossible. The history of technology mirrors the history of human achievement.

Naturally-occurring forms of energy can be used to do work, and humans soon discovered how to tap these resources. They harnessed animals such as horses and oxen, they developed machines such as windmills for converting a naturally-occurring form of energy into a more directly useful form of work and then developed engines to harness the energy locked into fossil fuels. You will find that engines are often referred to as prime movers because they provide the energy that initiates the action of machines.

The purpose of any machine is to do mechanical work. A machine is used to convert (change) or transmit (pass on) energy. Machines are made from a number of working parts (components) which we collectively call mechanisms

A mechanism or mechanical control system changes an input force and movement into a desired output force and movement.

Mechanical Control Systems are used in anything that controls movement. They can be used to:
Change the Velocity or Speed of movement
Change the Distance or Direction of movement
Change the type of movement (from one type of motion to a different type of motion)
Make it easier to move a load.

All mechanisms do at least one of these things.

The Lever

All levers have three things in common: the effort (where you do the pushing), the load (the thing that resists the pushing) and the pivot or fulcrum (the point round which the first two revolve). 

Levers were probably the first kind of mechanism ever used, they were used to move large rocks or open shells in much the same way that we might use a crowbar to open a crate.

By changing the position of the load, effort and fulcrum, you find three different arrangements. These are called the three classes of lever.

Most levers that you will come across will be examples of class 1 or class 2 levers. They are more common than class 3 levers because both class 1 and class 2 levers give you a mechanical advantage (MA)
This means that you can move a large load using a relatively small effort. The mechanical advantage of the class two lever (wheel barrow) shown below is found by comparing the weight of the load with the effort needed to move it. It uses a formula which you should be familiar with.

The mechanical advantage of any mechanism can be calculated in the same way. The larger the number, the greater the mechanical advantage. Class 3 levers are used less often because their mechanical advantage is less than one this means that the force needed to use them is greater than the force they can move.

When calculating the M.A. it may seem that you are getting something for nothing, you can move a large load with a much smaller force!

As with most things however you rarely get something for nothing and this is certainly true for the diagram below! 

Look at how far you would have to move effort in comparison to the the distance the load is moved. 

By comparing the two distances you obtain the velocity ratio (V.R.) The velocity ratio is also  a formula which you should be familiar with !

All this assumes that a mechanism is 100% efficient. In practice they never are !, parts twist and bend, surfaces rub and produce friction, energy is lost as waste heat etc. All this makes them less than 100% efficient.

 

The efficiency of a mechanism is found very easily by comparing its M.A. and V.R. using the formula shown opposite:

Now let us examine a number of common objects which use the principle of levers. Can you spot the load, effort and fulcrum points here ?

By connecting levers together, we can make some useful objects. Have you considered how the pedal bin works? 

It is an example of simple linkage. The act of pressing your foot down on the pedal works a lever which pushes up a rod at the back of the bin. This rod is connected to the lid, which is pivoted at the back, thus causing the lid to rise.

Linkages are very important in mechanical systems, because they allow forces and movement to be transmitted to where it is needed. They can change the direction of a movement, the size of a force, or make things move in a particular (constrained) way. They often do several of these at once.

Bell cranks and reverse motion linkages can be used to change the direction of motion.

A bell crank is useful for taking motion round a corner.

A good example of this type of linkage can be found on the brakes of a bicycle. The caliper brakes use two bell cranks which pivot on the same bolt. 
The forces needed to stop a mountain bike are often greater than a normal bicycle because of the degree of control required. 

By changing the position of the fulcrum or extending the length of one side of the lever, the amount of movement or the size of the force produced can be changed. 

The brakes used on a mountain bike have much longer levers on the effort side of the fulcrum than those on the load (brake block) side. This allows far greater forces to be applied to the wheel when braking.

A reverse motion linkage is useful for changing a "push" to "pull"

Parallel Linkages.

Linkages based on a parallelogram can be used to make two or more parts move together or apart whilst keeping them parallel to one another. The important feature of this linkage is that opposite sides remain parallel to each other as they move.

Linkages based on this idea can be found in use on tool boxes, keeping the trays level, on safety gates, allowing the gates to fold back into a smaller space, and on scissor lift tables where the table top is kept parallel with the ground.

Treadle Linkage.

This linkage involves changes between rotary and oscillating motion. It can be used to power a rotary machine by working the oscillating treadle (as in an old - fashioned foot operated sewing machine for instance) It can also be used in the other way to change rotary motion into oscillating motion. Some car windscreen wipers work in this way when combined with a parallel linkage.

 

The need to move large objects and the desire to make this task easier probably led to one of the most important inventions - the wheel. It is not too much of an exaggeration to say that if we did not have the wheel, many tasks would be impossible. Just take a look at your own surroundings...... Different ancient cultures arrived at the idea of the wheel in many different ways and at different times sometimes almost a thousand years apart!

Pulleys . . .

From a wheel, it is only a small jump to create a mechanical system of transferring energy from one point to another by connecting two wheels with a belt. What would happen if we were to use this method of transferring motion from one pulley to another? This system can be useful as it stands. With a slight modification to the wheels and the belt we can stop the belt from sliding off the wheel, but there is still the problem that the belt may slip around the pulley !

Chain and Sprocket

The problem of slipping in a belt and pulley system have been overcome with a sprocket and chain. What are the advantages and disadvantages of this type of arrangement? To complete the link between the two systems using new materials, a mechanism for the accurate rotation of one pulley by another has been designed - the toothed belt and pulley. This has all the advantages of a chain and sprocket without the disadvantages of friction, wear and the need for lubrication

Gears

Fixing pegs to a wheel transforms it into a gear. It is not known when or how the first gear was used.. However, we do know what materials were used and we can speculate as to what it may have looked like. It is clear that a wooden gear-wheel constructed like this would have many problems, all of which would reduce its efficiency. It was only a matter of time before gears were made to fit accurately into each other. We call this meshing.

Why do you think that the tooth of a gearwheel is shaped as it is and not with a sharp point?

TYPES OF GEARS

Gears transfer rotary motion from one shaft to another without slipping. There are many types of gears because of the number of different type of movements that are required.

Can you work out where these gears might be used and what each type is called?

THE SCREW THREAD

gives us a great deal of accurate control and an increase in effort. The screw-thread is always used to convert a circular movement into a linear motion.

The control of a stick deodorant is by a screwthread. If the base is rotated, the screw-thread attached to the base will also turn. This pulls down or pushes up the stick. Where else do you see a rotary motion being converted into a linear motion ?.

The tap uses a screw-thread. Turning the tap on lifts the washer, which allows water to flow from the tap. The screw-thread is an extensively used mechanism and gives us a large mechanical advantage. If you turn on a tap fully, how much force do you have to use to stop the flow of water with your finger?

SCREW THREAD AS CONTROL

If you place your thumbnail on a screw-thread and turn the thread you will notice that the thumbnail moves along the thread. The movement is very slow and hardly noticeable.

Here, the screw-thread is converting a rotary motion into a linear motion.

Now substitute a small gear for the thumbnail (See diagram. ) In this new arrangement the rotary motion is converted to another rotary motion but we have changed the axis. Therefore we have converted both the direction and the position. This arrangement is used in a guitar. Here a large number of turns of the key are required to turn the gear once, again providing a great deal of control.

We call this mechanism a worm-gear and worm-wheel.

The majority of machines use some kind of rotary movement. Some, like the bicycle, are totally based on rotating parts. Others use a rotary input motion which they change into a different output motion. A car engine does things the other way round, it changes the reciprocating motion of the pistons into a rotary motion of the wheels.

Internal combustion engines or electric motors are often used to provide a rotary input movement and force to a machine. The input speed is rarely the one needed for the output. A means has to be found of connecting the input and output while also changing the speed. It may also be necessary to reverse the direction of rotation at the same time. These things can be done using either pulley systems, chain and sprocket systems or gear systems, or a combination of the three.

PULLEY SYSTEMS

Pulley systems use a belt to transmit motion and force from the driver shaft to the driven shaft. The continuous V-belt is the one most often used. It fits tightly into the groove on the pulley wheels to keep slipping to a minimum. V-belts come in a variety of widths and thicknesses.

Speed changes are made by using different size pulleys on the driver and driven shafts. By comparing the size of the two pulleys you can calculate the velocity ratio of the system.

For example in the diagram shown here:

Driver pulley = 140 diameter

Driven pulley = 35 diameter

 

Velocity ratio = Driven pulley diameter

Driver pulley diameter

 

= 35 1 or 1:4

140 4

In other words, one turn of the driver shaft will give four turns of the driven shaft.

The speed of the driven shaft can be calculated using:

Output speed (OS) = Input speed (IS)

Velocity ratio (VR)

e.g. If input speed = 1860 rpm

and VR = 1:4

 

OS = IS = 1860 = 7440 rpm

VR 1:4

Chain and sprocket systems use a chain to transmit rotary motion from the driver shaft to the driven shaft. Sprockets are the toothed wheels on which the chain runs. Unlike some pulley systems the chain and sprocket cannot slip. Bicycles and motorbikes use a chain and sprocket system, because of its strength and because it will not slip. Like a pulley and belt system, a chain needs to be correctly tensioned. On a bicycle, this is done by moving the position of the back wheel or, if the bike has derailier gears, by the spring loaded jockey wheels. One of the disadvantages of a chain and sprocket system is that it needs to be well oiled, particularly on a bicycle, if it is not to go rusty.

When it comes to working out speed changes, sprocket and chain systems are very similar to pulley systems. The only difference is that instead of using the pulley diameters you use the number of teeth on the sprockets.

For example if:

Driver sprocket has 60 teeth

Driven sprocket has 15 teeth

 

VR = No of teeth on driven sprocket

No of teeth on driver sprocket

 

= 15 = 1 or 1:4

60 4

GEARS

Gears are toothed wheels, fixed to the driver and driven shafts, which mesh together. A number of gears connected together is called a gear train. The diagram shows a pair of spur gears, fixed to parallel shafts, forming a simple gear train. The shafts will turn in opposite directions and, because the gears are different sizes, at different speeds. The difference in their speeds (velocity ratio) can be calculated from the number of teeth on each gear:

VR = No of teeth on driven gear = 30 = 2 or 2:1 or 2

No of teeth on driver gear 15 1

In other words, two turns of the driver shaft are needed to give one turn of the driven shaft.

To get them to turn in the same direction, a third gearwheel has to be fitted between them, as shown. This idler gear has no effect on the speeds of the other two shafts, whatever its size. It simply makes the driver and driven shafts rotate in the same direction.

Compound gear trains involve several pairs of meshing gears. They are used where it is necessary to make large speed changes or to get different outputs moving at different speeds.

Worm Gears Another way of making large speed reductions is to use a worm gear and wormwheel. The worm, which looks rather like a screw thread, is fixed to the driver shaft. It meshes with the wormwheel which is fixed to the drrven shaft. The driven shaft runs at 90° to the driver shaft. When considering the speed changes in most worm gear systems, you can think of the worm as if it were a spur gear with one tooth. It is a single tooth wrapped around a cylinder.

The velocity ratio between the gears shown is:

 

VR = Driver = 30 = 30 or 30:1

Driven 1

Bevel Gears

Bevel gears, like worm gears, use shafts at 90° to each other.The hand drill shown uses them not only to change the rotary motion through 90 degrees, but also, by using different sized gears, to increase the speed of rotation. The one shown gives a speed increase of15.

Helical Gears

Helical gears have their teeth at an angle across the gearwheel. Each tooth is very slightly curved. Its shape is part of a helix, a type of spiral. Helical gears are quieter and more efficient than normal spur gears. They are used in things like gearboxes where smooth, guiet, efficient transfer of power is important. By angling the teeth even more, they can also be used to change the direction of drive through a 90° angle.

Rack and Pinion Systems

Rack and pinion systems involve changes between rotary and linear motion. They can be used either way round. You use this type of system on a drilling to bring the drill down into the work.

Gearwheels are usually made of steel or plastic. Plastic gears have the advantage that they are much quieter running and need much less lubrication than steel gears. Many gear trains include at least one gear to reduce noise.

CAMS, CRANKS and SLIDERS

Although there are both linear and rotary cams, rotary cams are far more common. They are used to change rotary motion into either reciprocating or oscillating motion. Cams are shaped pieces of metal or plastic fixed to, or part of, a rotating shaft. A’follower’is held against the cam, either by its own weight or by a spring. As the cam rotates, the follower moves The way in which it moves and the distance it moves depends on the shape of the cam

CIRCULAR CAM This is the simplest form of rotary cam, also known as an’eccentric’cam because the circle is fitted’off-centre’ on the driving shaft. This type of cam gives the follower a smooth continuous movement known as simple harmonic motion.

PEAR SHAPED CAM This diagram shows an overhead camshaft which, as it rotates, opens and closes the inlet and exhaust valves in an engine. Each of the pear shaped cams controls the movement of one valve, opening and closing it at the correct time in the firing seguence. With pear shaped cams there is guite a long dwell period, more than half the cycle, during which the follower does not move. When the follower is moving, the rise and fall times are egual because of the symmetrical shape of the cam. The distance the follower moves depends on the stroke of the cam.

HEART SHAPED CAM The heart shaped cam gives the follower a continuous uniform motion. It moves smoothly, at a constant speed. The bobbin winding mechanism on a sewing machine uses a heart shaped cam so as to wind the thread evenly onto the bobbin. Similar mechanisms exist in industry to wind wire and cables onto large reels. ‘

OTHER CAMS There are several other types of cam. The box cam and the cylindrical cam, are two of them.

CRANK and SLIDER

Crank slider mechanisms involve changes between rotary and reciprocating motion. The diagram right shows the basic principles. The crank rotates while the slider reciprocates. The longer the crank the further the slider will move. Crank sliders can be used in several ways, but the two main ways are:

1. To change reciprocating motion into rotary motion, as in a car engine. The reciprocating pistons are connected to the crankshaft by connecting rods.As the pistons move up and down the connecting rods push the crankshaft round. Each piston moves down in turn, so keeping the crankshaft turning.

2. To change rotary motion into reciprocatina motion, as in a power hacksaw. An electric motor powers a crank which is connected to the saw frame. The saw frame is free to slide on the’arm’. As the crank rotates it causes the frame to slide backwards and forwards on the arm. The longer the crank the further the saw frame will move.

A compressor also uses this idea to provide compressed air for pneumatic systems. The rotary motion of an electric motor is used to make a piston reciprocate. As it reciprocates, it draws in air and then forces it, through a one-way valve, into the receiver tank.

 

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