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All machined surfaces (with the exception of MEMS, Chap 15) are generated and functionally operated under the in uence of impact and impulsive forces of variable

Method public static double Floor(double v)

4 1

Meaning Returns the largest integer (represented as a floatingpoint value) not greater than v For example, given 102, Floor( ) returns 10 Given 102, Floor( ) returns 2 Returns the remainder of dividend / divisor

intensities and frequencies These dynamic forces, which are of indeterminable magnitude, affect the cam pro le, accuracy, surface quality, and life Moreover, the magnitude of these factors and the performance of the cam-follower systems are greatly in uenced by the fabrication of the cam pro le The interrelated factors of accuracy, cost, and time are pertinent to the study Poor manufacturing techniques can seriously impede the functional ability of the mechanism Under most methods of fabrication, the actual and the theoretical cams rarely agree Accuracies as close as 00001 in may be necessary in highspeed machinery The following are some brief thoughts: Make parts as rigid as possible to keep exibility to a minimum Use laminated thermoset resins, carbides, and new materials if possible and practicable Make the component moving parts of the machine as light as possible Use new materials such as titanium, magnesium, and aluminum, if feasible We should aspire for a high natural frequency of the follower linkage If resonance occurs in a given speed range, it will be with a higher harmonic number and consequently smaller amplitude harmonics Surface nish and accuracy of fabrication are of prime importance Be sure that cams are cut accurately in accordance with the theoretical contours so that bene t from the mathematics is not lost Keep surface errors to a minimum Backlash in parts should be held to a minimum Preloaded bearings and followers are a possible solution Use low-friction bearings, and lubricate all mating surfaces Balance the cams with intelligent proportioning of the mass For high-speed production machinery DRD cam curve choices are the modi ed sine and the modi ed trapezoid These yield low accelerations and no discontinuities Both have excellent follower vibration performance

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public static double IEEERemainder(double dividend, double divisor) public static double Log(double v) public static double Log(double v, double base) public static double Log10(double v) public static double Max(double v1, double v2) public static float Max(float v1, float v2) public static decimal Max(decimal v1, decimal v2) public static int Max(int v1, int v2) public static short Max(short v1, short v2) public static long Max(long v1, long v2) public static uint Max(uint v1, uint v2) public static ushort Max(ushort v1, ushort v2) public static ulong Max(ulong v1, ulong v2) public static byte Max(byte v1, byte v2) public static sbyte Max(sbyte v1, sbyte v2) public static double Min(double v1, double v2) public static float Min(float v1, float v2) public static decimal Min(decimal v1, decimal v2) public static int Min(int v1, int v2) public static short Min(short v1, short v2) public static long Min(long v1, long v2) public static uint Min(uint v1, uint v2) public static ushort Min(ushort v1, ushort v2)

TABLE 21-1 Methods De ned by Math (continued)

It is dangerous to try to save work by not dividing the integral at the singularity The next example illustrates what can go wrong EXAMPLE 518

(5)(6)( 7) (1)(2)(3)

Returns the logarithm for v using base base Returns the base 10 logarithm for v Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the greater of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2 Returns the lesser of v1 and v2

Part II:

= 35

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