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sary clearance (backlash) between the roller sides and its groove Sliding, wear, noise, vibration, and shock may be induced at high speeds Furthermore, high speeds and high load may necessitate the use of crowned or conical rollers to accommodate the potential misalignment of contacting surfaces to avoid excessive surface stresses and wear Figures 14c and 14d show mushroom followers in which the contacting surface is either at or spherical The spherical face of the Figure 14d mushroom follower has a large radius that compensates for detrimental de ection or misalignment that may occur with the at mushroom follower The radial follower is one in which the follower translates along an axis passing through the cam center of rotation This type, shown in Fig 14, is the most common The offset follower is one in which the axis of the follower movement is displaced from the cam center of rotation Offsetting often improves action by reducing force, stress, and also the cam s size The eccentricity should be in the direction that improves force components tending to jam the translating follower in its bearing guide Figure 15a shows a follower on a radial cam with an offset shown Figure 15b shows the same relationship for a translating cam In both cams, the follower path is not the pro le displacement of the cam

public string ToString(IFormatProvider fmtpvdr) public string ToString(string format, IFormatProvider fmtpvdr) public static bool TryParse(string str, out type val)

1/2 0

TABLE 21-2 Methods Supported by the Integer Structures (continued)

In Fig 46 the ninth-degree polynomial, curve (1), has a peak velocity of 246 and a peak acceleration of 937 Next let us apply symmetrical displacement controls q= 1 1 ,y= 2 2

Part II:

Method public static bool TryParse(string str, NumberStyles styles, IFormatProvider fmtpvdr, out type val)

1 1/2

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Meaning Attempts to convert the numeric string in str into a binary value using the style information provided by styles and the culture-specific format information provided by fmtpvdr If successful, the value is stored in val and true is returned If no conversion takes place, false is returned This differs from Parse( ), which throws an exception on failure In TryParse( ), type explicitly specifies the data type, such as in SystemInt32TryParse(int v)

Curve (1) Curve (2) Curve (3) y' y'' Curve (3) Curve (2) Curve (1)

TABLE 21-2 Methods Supported by the Integer Structures (continued)

There are two floating-point structures: Double and Single Single represents float Its methods are shown in Table 21-3, and its fields are shown in Table 21-4 Double represents double Its methods are shown in Table 21-5, and its fields are shown in Table 21-6 As is the case with the integer structures, you can specify culture-specific information and format information in a call to Parse( ) or ToString( ) The floating-point structures implement the following interfaces: IComparable, IComparable<T>, IConvertible, IFormattable, and IEquatable<T>, where T is replaced by either double for Double or float for Single

FIGURE 46 Comparison of velocity and acceleration characteristics of three polynomial motions: curve (1) 9th-degree polynomial curve (2) 11th-degree symmetric polynomial curve (3) 11th-degree polynomial with midpoint velocity control

Method public int CompareTo(object v) Meaning Compares the numerical value of the invoking object with that of v Returns zero if the values are equal Returns a negative value if the invoking object has a lower value Returns a positive value if the invoking object has a greater value Compares the numerical value of the invoking object with that of v Returns zero if the values are equal Returns a negative value if the invoking object has a lower value Returns a positive value if the invoking object has a greater value Returns true if the value of the invoking object equals the value of v Returns true if the value of the invoking object equals the value of v Returns the hash code for the invoking object Returns the TypeCode enumeration value for Single, which is TypeCodeSingle Returns true if v represents infinity (either positive or negative) Otherwise, returns false Returns true if v is not a number Otherwise, returns false

1 dx x(1 x)1/2

public int CompareTo(float v)

y = 336q 5 - 1890q 6 + 4740q 7 - 6615q 8 + 5320q 9 - 2310q 10 + 420q 11 This is curve (2) in Fig 46 with a peak velocity of 205 and a peak acceleration of 791 Last we will apply additional velocity controls with the boundary conditions q= q= 1 1 ,y= 2 2 1 , y = 175 2

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