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adjustment is sometimes provided for reducing backlash and preloading the roller In Fig 1021b we see concentric rollers of the same diameter but in a relieved groove The undercut is dif cult to produce accurately The last type, and the most acceptable, is shown in Fig 1021c, where we see two concentric rollers of different diameters in a stepped groove external double roller on cam: In Fig 1022 are shown positive-drive double rollers on double surfaces Figure 1022a indicates a globoidal cam having a straight rib and a translating follower Figure 1022b has a tapered rib with a globoidal cam and an oscillating follower An excellent choice for radial cams is realized by the application of conjugate or complementary cams, Fig 1022c This arrangement is exible and accurate and minimizes misalignment of contacting parts It is also reliable for high-speed, highmass systems giving low noise and low vibration In all three cam followers shown, pre-

4 4 1 4 0+ 9/5

Method public static double Abs(double v) public static float Abs(float v) public static decimal Abs(decimal v) public static int Abs(int v) public static short Abs(short v) public static long Abs(long v) public static sbyte Abs(sbyte v) public static double Acos(double v) public static double Asin(double v) public static double Atan(double v) public static double Atan2(double y, double x) public static long BigMul(int x, int y) public static double Ceiling(double v)

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Meaning Returns the absolute value of v Returns the absolute value of v Returns the absolute value of v Returns the absolute value of v Returns the absolute value of v Returns the absolute value of v Returns the absolute value of v Returns the arc cosine of v The value of v must be between 1 and 1 Returns the arc sine of v The value of v must be between 1 and 1 Returns the arc tangent of v Returns the arc tangent of y/x Returns the result of x * y as a long value, thus avoiding overflow Returns the smallest integer (represented as a floating-point value) not less than v For example, given 102, Ceiling( ) returns 20 Given 102, Ceiling( ) returns 1 Returns the smallest integer (represented as a decimal value) not less than v For example, given 102, Ceiling( ) returns 20 Given 102, Ceiling( ) returns 1 Returns the cosine of v Returns the hyperbolic cosine of v Return the result of x / y The remainder is returned in rem Return the result of x / y The remainder is returned in rem Returns the natural logarithm base e raised to the v power Returns the largest integer (represented as a decimal value) not greater than v For example, given 102, Floor( ) returns 10 Given 102, Floor( ) returns 2

FIGURE 1023 Flat-faced follower (may be offset to distribute wear)

public static double Ceiling(decimal v)

public static double Cos(double v) public static double Cosh(double v) public static int DivRem(int x, int y, out int rem) public static long DivRem(long x, long y, out long rem) public static double Exp(double v) public static decimal Floor(decimal v)

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loading or reducing the clearances and tolerances may be accomplished by use of the adjustable stud shown or by an eccentric roller stud, or by (in rare cases) a compression spring The preload of the rollers depends on the cam size, with -0001 in interference t, a usually acceptable amount 1093 Sliding Followers Sliding followers may be either at-faced or spherical faced and are sometimes called mushroom followers These followers in general weigh less than roller followers for the same application and have the additional advantages of simplicity of maintenance and ease of lubrication Lubrication is with high-viscosity oil or with EP lubrication Automobile makers are the largest users of at-faced followers, although some manufacturers are switching to roller followers The spherical follower face has a large radius of curvature, 30 to 300 in, which corrects for wearing and misalignment and provides longer fatigue wear Obviously this sliding follower cannot be used with concave cam surfaces These sliding followers also are employed with small cams only, because of the prohibitive high sliding with large cams With small cams the uctuating cam-follower contacting surface speed maintains an oil lm largely in the hydrodynamic regime discussed in Chap 8 Sometimes the mushroom follower is offset to reduce the sliding action (Fig 1023) The rise or fall of the follower is unaffected by the offset However, the follower is now rotating and translating (corkscrew action), giving sliding and rolling of the cam The area of contact and wear life is thus increased The magnitude of the unbalanced forces on the follower stem, tending to de ect and jam it in its guide, limits the amount of offset The practical net improvement of offsetting in this manner is subject to controversy

TABLE 21-1

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