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of the cam pro le It presents a quick picture of the follower motion It will be shown that for radial cams the displacement diagram, if drawn to scale, does not show the true slopes of the cam contour In other words, in transferring the cam contour from a rectangular to a polar layout the displacement diagram is distorted on radial cams, whereas no changes occur with cylindrical cams The transition point (see Fig 124) is the point on the cam at which the follower is at maximum velocity In the displacement diagram, the transition point (point of in ection) is located at the maximum cam slope The time chart or timing diagram is the superimposing of more than one displacement diagram on the same abscissa or time basis This provides a comparison of the operation of interrelated cams The initial plotting of this chart is essential in automatic machinery to establish the action of the cam followers and the proper timing of its members By proper use of this chart, the designer can keep the idle time to a minimum and increase the production of the machine Figure 125 shows the time charts used for the compounding of three cams The usual development of high-speed automatic machinery requires the manipulation of the timing diagram until the ultimate design has been reached and the smallest cam possible has been attained The cam pro le is the actual working surface contour of the cam It is the surface in contact with the knife-edge, roller surface, or at-faced follower Figure 126 shows a popular cam pro le consisting of a single-lobe, external radial cam In an enclosed cam, an inner and outer cam pro le constrain the roller follower The cam pro le may be of many shapes, external or internal, single or multilobe, and so forth The base circle (see Fig 126) is the smallest circle drawn to the cam pro le from the radial cam center Obviously, the cam size is dependent on the established size of the base circle We shall denote the radius of the base circle as Rb The trace point (see Fig 126) is the point on the follower located at the knife-edge, roller center, or spherical-faced center The pitch curve, or pitch pro le, is the path of the trace point Figure 126 shows the pitch curve of a radial cam In cam layout, this curve is often determined rst and the cam pro le is then established by tangents to the roller or at-faced follower surfaces For the elementary knife-edge follower, the pitch curve and cam pro le are the same The prime circle (see Fig 126) is the smallest circle drawn to the pitch curve from the cam center It is similar to the base circle We shall denote the radius of the prime circle in inches as Ra The pressure angle (see Fig 126) is the angle (at any point) between the normal to the pitch curve and the direction of the follower motion This angle is important in cam design because it represents the steepness of the cam pro le, which if too large can affect the smoothness of the action.

The output is shown here:

0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9

25 20 Pressure angle (degrees) 15 10 5 0 5 10 15 20 25 0

In general, when you need to cycle through a collection, a foreach loop is more convenient to use than an enumerator However, an enumerator gives you a little extra control by allowing you to reset the enumerator at will

We plot these points on a single set of axes (Fig 121) Supposing that the curve we seek to draw is a smooth interpolation of these points (calculus will later show us that this supposition is correct), we nd that our curve is as shown in Fig 122 This curve is called a cubic

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When using a non-generic IDictionary, such as Hashtable, you will use an IDictionaryEnumerator instead of an IEnumerator when cycling through the collection The IDictionaryEnumerator inherits IEnumerator and adds three properties The first is DictionaryEntry Entry { get; }

200 y (deg)

Part II:

Entry obtains the next key/value pair from the enumerator in the form of a DictionaryEntry structure Recall that DictionaryEntry defines two properties, called Key and Value, which can be used to access the key or value contained within the entry The other two properties defined by IDictionaryEnumerator are shown here: object Key { get; } object Value { get; } These allow you to access the key or value directly An IDictionaryEnumerator is used just like a regular enumerator, except that you will obtain the current value through the Entry, Key, or Value properties rather than Current Thus, after obtaining an IDictionaryEnumerator, you must call MoveNext( ) to obtain the first element Continue to call MoveNext( ) to obtain the rest of the elements in the collection MoveNext( ) returns false when there are no more elements Here is an example that enumerates the elements in a Hashtable through an IDictionaryEnumerator:

Other interesting features are the cam pro le and the pressure-angle distribution, which are shown in Figs 717 and 718 Moreover, to complete the description of the problem at hand, Fig 719 shows the curvature of the pitch curve From this gure, one can obtain the maximum value of the curvature of the pitch curve as kM = 007283 mm-1, which corresponds to a roller radius rR = 12 mm Once we know the value of the roller radius, we can plot the pitch curve as shown in Fig 720, which is displayed using a dash line

6 3 3 6 x

// Demonstrate IDictionaryEnumerator using System; using SystemCollections; class IDicEnumDemo { static void Main() { // Create a hash table Hashtable ht = new Hashtable(); // Add elements to the table htAdd("Tom", "555 3456"); htAdd("Mary", "555 9876"); htAdd("Todd", "555 3452"); htAdd("Ken", "555 7756"); // Demonstrate enumerator IDictionaryEnumerator etr = htGetEnumerator(); ConsoleWriteLine("Display info using Entry"); while(etrMoveNext()) ConsoleWriteLine(etrEntryKey + ": " + etrEntryValue); ConsoleWriteLine(); ConsoleWriteLine("Display info using Key and Value directly"); etrReset(); while(etrMoveNext()) ConsoleWriteLine(etrKey + ": " + etrValue); } }

The output is shown here:

.

24:

Display info using Entry Ken: 555 7756 Mary: 555 9876 Tom: 555 3456 Todd: 555 3452 Display info using Key and Value directly Ken: 555 7756 Mary: 555 9876 Tom: 555 3456 Todd: 555 3452

We plot these points on a single set of axes (Fig 123) Supposing that the curve we seek to draw is a smooth interpolation of these points (calculus will later show us that this supposition is correct), we nd that our curve is as shown in Fig 124 This is another example of a parabola

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