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Introduction zMechanisms are widely used in industry and society zMany mechanisms will be familiar to you
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(Intro continued) zMany industrial processes involve electronic control, mechanisms provide the muscle to do the work zAll mechanisms involve: ySome kind of motion ySome kind of force yMake a job easier to do yNeed an input to make them work yProduce some kind of product
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4 Basic Kinds Of Motion Rotary yTurning in a circle zLinear yMoving in a straight line zReciprocating yBackwards and forwards movement zOscillating ySwinging back and forwards
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Motion Task 1 zIdentify the type of motion shown by the following activities. zComplete a systems diagram for each
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Motion Task 2 zConsider the tools and machines you have used/ seen in CDT zList up to three tools or machines for each basic type of motion yRotary yLinear yReciprocating yOscillating
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G E A R S zWhat is a gear? yToothed wheel yTransmits rotary motion and power zWhat do they do? yChange the direction of motion yChange the output speed zMost common gear? ySPUR gear
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SIMPLE GEAR TRAINS zWhat is a simple gear train? yMeshed, (Meshing) yTwo or more gears in series zInput gear = DRIVER zOutput gear = DRIVEN zWhat effect does this have on the output (DRIVEN) yReverses motion yChanges speed/ power
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Velocity Ratio zWhat is this? yRatio of the speed between the input and output gears yDivide number of teeth on DRIVER by the number on the DRIVEN zPractice! yA simple gear train is shown. The driver gear A has 20 teeth, while gear B has 40 teeth. yCalculate the Velocity Ratio
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Solutions zDriver = 20 teeth Driven = 40 teeth V.R. = Driver / Driven = 20/40 = 1/2 zGear velocity/speed ratio is 1 : 2
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Calculating Output Speed We know from previous work that the VR for the gear train shown is: Driver = 20 teeth Driven = 40 teeth V.R. = Driver / Driven = 20/40 = 1/2 If the driver has a speed of 200rpm, what is the driven speed? Output speed = VR x input speed = ½ x 200 = 100rpm
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Idler Gears zWhat is an IDLER gear? yA third gear inserted between Driver and Driven yAllows Driver and Driven to rotate in same direction yNo effect on Speed of the system yUsually a small gear (takes up less space)
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More Gears!! zCalculate the velocity ratio for the simple gear train below. If gear A rotates at 250 rpm in a clockwise direction, calculate the output speed. Show all your working. A = 20 teeth B = 5 teeth C = 30 teeth zFor the simple gear train shown below, find the following. yThe gear that rotates in the same direction as A. yThe velocity ratios of A to B, A to C and A to D. yThe speed of B, C and D if A rotates at 500 rpm. xA = 50 teeth xB = 10 teeth xC = 25 teeth xD = 100 teeth
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Compound Gears zWhat are compound gears? yA gear system with pairs of gears mounted on the same shaft yProduce large speed changes (100 : 1) yProvide multiple outputs with different speeds and directions
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Compound Example VR zThe velocity ratio for the first pair of meshing teeth is zThe velocity ratio for the second pair of meshing teeth is zThe total speed ratio is calculated by multiplying both ratios: Driver/Driven = 20/80 = 1:4 Driver/Driven = 10/60 = 1:6 1/4 x 1/6 = 1:24
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Practice A B C D In the compound train shown below wheel A is rotating at 100 rpm. If the numbers of teeth in the gear wheels A, B, C and D are 25, 50, 25, and 50 respectively, determine the speed of rotation of wheel D,
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Worm and Wheel zWhat is a Worm and Wheel? yA worm looks like a screw thread yIt is attached to a drive shaft (the worm can only drive a worm wheel, not the other way about!) yIt meshes with the worm wheel (fixed to driven shaft) yDriven shaft runs at 90 degrees to the driver shaft zWhy is it used? yAnother way of making large speed reductions y Can be used as a safety device, (the worm can only turn in 1 direction. Thus it will not run back if lifting loads.)
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Example: z Think of worm as 1 toothed spur gear z The velocity ratio between the gears shown is z This would mean that for a motor rotating at 100 rpm, the output driven gear would rotate at only 3.33 rpm. Try the problems on the white board now. Velocity ratio = Driver / Driven
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Bevel Gears zWhat is a Bevel Gear? yTwo meshed gears at 90 degrees yGears are angled at 45 degrees yDifferent sized gears give different output rotation speeds
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Tasks z Produce the greatest possible speed within a compound gear train using spur gears with 8t, 16t, 24t and 40t. The driver motor is set at 1 rpm.
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Ratchet and Pawl zWhat is a RATCHET? yA wheel with saw- shaped teeth around its rim zWhat is a PAWL? yA pawl is a small tooth that engages with a ratchet zRatchet and Pawl yTogether they engage and allow rotation in one direction only
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Examples: Ratchet and Pawl zWhere would you see a ratchet and pawl? yA wheel with saw- shaped teeth around its rim
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Belt and Chain Drives z Belts and chains transmit rotary motion between parts of a mechanism z This is usually combined with a change of speed z Too many gears in a simple gear train results in a low efficiency
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Belt Drives z A belt is wrapped around two or more pulleys z Pulleys are grooved wheels z The belt is tensioned by one of the pulleys y Also common to use a jockey pulley For tensioning purposes z Belts are also angled for greater grip (vee- belt)
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Belt Drives z Changes in direction achieved by crossing the belt over y Inexpensive to produce (rubber and string) y Easy to replace y Require little maintenance (no lubrication) y Absorb shock loads (can slip to protect engine)
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Velocity Ratio for belt drives z Pulleys can be used to transmit rotary motion over large distances z Input speed is often fixed speed/ torque (motor) z Velocity Ratio (VR) = diameter of driver pulley ------------------------------ diameter of driven pulley z Multiplier Ratio = diameter of driven pulley diameter of driver pulley
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Toothed Belts z Slipping belts can be an advantage, why? y Protect against shock loads z Toothed belts are used when non-slip is required y Cars use toothed belts as timing belts y If this slipped the pistons would collide with the valves causing damage
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Chain Drives z Used for transmitting large forces with no slip z Pulley replaced with sprocket y Require maintenance (oiling) y When worn will reduce accuracy of drive z Tension provided by pair of jockey wheels VR = Teeth on Driver / Teeth on Driven
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Chain Drives The chain and sprocket is really a form of pulley system that does not allow slippage. (the sprocket is a pulley with teeth, the chain is a metal belt)
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Rack and Pinion z Transforms rotary motion into linear motion (or vice versa) z Spur gear meshes with a ‘rack’ z Task 1: y A rack with 100 teeth per metre is meshed to a pinion with 10 teeth. 1. If the pinion rotates once how far does the rack move? 2. How many revolutions does it take to move the rack from one end to the other? The rack is 1m long
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Rack and Pinion Solutions Task 1 (A) Rack is 1m long with 100T, so each tooth is worth 1000/100 = 10mm This value is known as the Tooth Pitch of the rack. If the pinion rotates once, then it moves 10T, so the movement of the rack is 10 x 10 = 100mm (B)If rack is 1m long then it will take 1000/100 = 10 revolutions to move from one end to the other.
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Questions The compound gear train shown below is driven by a motor that runs at 1000 rpm. Calculate the velocity Ratio of the motor to the output shaft and then the output speed. Show all your working. A = 20 teeth B = 60 teeth C = 40 teeth D = 50 teeth
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Gary Plimer 2006 We know that there are four kinds of motion. These comprise: Rotary Linear Reciprocating Oscillating. Many mechanisms involve changing one type of motion into another. For example, the rotary motion of a pillar-drill handle is changed to the linear motion of the chuck and drill bit moving towards the material being drilled. What mechanism can achieve this conversion? CONVERTING MOTION ANSWER: RACK & PINION
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Gary Plimer 2006 CAM & FOLLOWER With the eccentric cam, the follower is moving constantly. The distance between the highest and lowest point of the follower is known as the STROKE of the cam. With the pear shaped cam, there is a dwell period when the follower does not move. Pear Cam CAM & FOLLOWERS CONVERT ROTARY MOTION TO RECIPROCATING MOTION
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Gary Plimer 2006 CAM & FOLLOWER Pear shaped The follower stays at the lowest position for half a turn and then rises and falls steadily Eccentric The follower rises and falls steadily Ratchet The follower will rise steadily and fall suddenly. The cam can only turn in one direction without locking
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Gary Plimer 2006 CRANK & SLIDER The Crank & Slider can convert ROTARY TO RECIPROCATING or RECIPROCATING TO ROTARY The conversion depends on whether the crank or the slider is being driven.
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Gary Plimer 2006 Pupil Problem (b) If the cam on the valve mechanism turns half a revolution from the position shown on the diagram, what distance does the valve move? (a) What is the input & output motion?
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Friction & Effect y Friction between moving parts reduces the efficiency of the system y Ways in which we can reduce friction These include: Lubrication, Oil or grease Use roller bearings
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