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to accuracy and precision Similarly, a marksman may not hit his desired target for the same reason given earlier in the case of measurements The + sign represents the centre of the target (the bull s eye) Figure 13 (a) shows a series of repeated shots that are accurate because their average is close to the central point of the circle There is no precision because the process has too much of scatter In Figure 13 (b), the repeated shots in the series are seen to be precise (very close to one another) indicating the repeatability of the process, even though the shots had not been hit exactly at the centre of the circle; hence, in this case, there is no accuracy The marksman had aimed poorly at the target However, such a process can be improved Figure 13 (c) shows the series of repeated shots tightly compacted around the true shot (at the centre of the circle), and these shots are both accurate and precise This is an example of an inherently good process, and such a condition is vital to precision engineering The second perspective of accuracy and precision can be understood when we consider a certain dimension of a part machined to length, l A sample group of these machined parts were measured with a sufficiently accurate instrument, and the results are approximated to get a normal curve as shown in Figure 14 (a) The accuracy of the measurement is defined in terms of the difference, dm, between the mean value, N , and the specified (or nominal) dimension called the bias The smaller the bias, the higher is the accuracy Precision, on the other hand, is measured in terms of the degree of the smallness of the dispersion, e, from the mean value From the statistical point of view, a process with 1s is the most precise when compared with that with 2s and 3s, and a process with 2s more precise than one with 3s This is clearly evident in Figure 14 (b).



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In 6 we talked about passive control. In this chapter we explore some of the mechanisms that can take simple rotation and turn it into complex motions. This chapter makes use of linkages bars or rods that are linked together to control the shape of the motion. You can use clever arrangements of links and gears to make the best use of your power sources. This chapter explores some of those clever arrangements, starting with simple mechanisms and moving into more complex ones. Given a choice between using one motor and a complex mechanism, or two motors and perhaps a simple mechanism, the one-motor solution will probably cost less and be more reliable.

Fig 14: (a) Frequency distribution showing measurements of parts machined to a length [1] and (b) the normal

Fig 79: An external view of a grinding spindle for the y-axis [7]





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We ve already discussed a number of mechanisms that shape motion. The cam leaps to mind, since the varying distance of the outside edge to the center axis is used to push a cam follower in an arbitrary way. The simple gear or pulley train shapes motion if you consider how it slows down or speeds up rotation. Sprockets and chains do the same thing as gears with the added bonus of converting the rotary motion of the sprocket into the linear motion of the chain. This linear motion can be used to move things from one place to another, like a conveyor belt or escalator, or perform some other activity. The transmissions shaped motion, as did the levers and U-joints. . . it s what machines do. Here we explore some more ways to shape motion.

Linear air bearings (Figure 711) provide translation on a plane, and they are commonly found in supports for coordinate measuring machines, semiconductor pick-and-place machinery, gantry systems, micromachining centres and zero-gravity simulators Linear bearings are available in a

Fig 710: The assembly of a thrust surface, journal and a spherical bearing on a single shaft used for grinding [7]

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Try This: A single-link mechanism can be something as simple as a lever (Fig. 14-1). A lever can be used to reverse the direction of motion, so when you push down it pushes up. A lever can also transform the length and strength of the motion. A rotating link is more like a cam than a lever (Fig. 14-2). It can be used to press on another link, creating an intermittent back and forth movement, or reciprocal motion. If you stick a second link on this rotating lever, you are moving into the world of two-link mechanisms. However, if you look at it like Fig. 14-3 it might still seem like a one-link mechanism, with one link attached to a wheel. In this use, the wheel and the rotating link are the same thing. The mechanism in Fig. 14-3 converts rotating motion into a continuous reciprocal motion.

variety of shapes and configurations, including bracketed slides, puck type or rectangular shoe type They may combine with spherical and/or cylindrical bearing types to achieve additional rotation or translation around or along other axes These bearings are manufactured for small or large load capacities ranging from 1 kg to 10,000 kg [8]

Fig. 14-1.

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