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(Wiederrich, 1981; Rooney and Deravi, 1982) Multiple degree-of-freedom and combined lumped/distributed parameter models have been investigated for certain speci c camfollower mechanisms (Akiba et al, 1981; Chan and Pisano, 1987; Kosugi and Seino, 1986; Hanachi and Freudenstein, 1986; Pisano and Freudenstein, 1983) In the model described here, the cam and the camshaft operate at constant speed and are assumed to be rigid components so the cam contour and the camshaft are unaffected by the forces acting on them It is also assumed that the cam is manufactured with precision so that machining errors can be neglected and that the spring will always prevent separation of the follower from the cam Further, the effects of frictional forces are neglected Output Motion and Cam Motion Equations of Motion In the following discussions, the displacement, Y, and its derivatives will be referred to as the output motion The displacement, Yc, and its derivatives which de ne the cam pitch curve will be referred to as the cam motion Correspondingly, Yc(1), is referred to as the cam velocity, Yc(2), the cam acceleration, etc The equation of motion of the model of Fig 523, written in terms of these variables, is as follows:

Use our new de nitions to simplify the expression A = e[5 ln 2 3 ln 4]

As you can see, the empty string that previously resulted because of the combination of the comma and space after land has been removed Splitting a string is an important string-manipulation procedure because it is often used to obtain the individual tokens that comprise the string For example, a database program might use Split( ) to decompose a query such as show me all balances greater than 100

Part II:

MY (2 ) (t ) + (Cs + C f )Y (1) (t ) + ( Ks + K f )Y (t ) = C f Yc(1) (t ) + K f Yc (t )

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into its individual parts, such as show and 100 In the process, the separators are removed Thus, show (without any leading or trailing spaces) is obtained, not show The following program illustrates this concept It tokenizes strings containing binary mathematical operations, such as 10 + 5 It then performs the operation and displays the result

SOLUTION We write A = e[ln(2

// Tokenize strings using System; class TokenizeDemo { static void Main() { string[] input = { "100 + 19", "100 / 33", "-3 * 9", "100 - 87" }; char[] seps = {' '}; for(int i=0; i < inputLength; i++) { // split string into parts string[] parts = input[i]Split(seps); ConsoleWrite("Command: "); for(int j=0; j < partsLength; j++) ConsoleWrite(parts[j] + " "); ConsoleWrite(", Result: "); double n = DoubleParse(parts[0]); double n2 = DoubleParse(parts[2]); switch(parts[1]) { case "+": ConsoleWriteLine(n break; case "-": ConsoleWriteLine(n break; case "*": ConsoleWriteLine(n break; case "/": ConsoleWriteLine(n break; } } } }

(518)

+ n2);

- n2);

If the contact force is of interest it can be found easily In the case of a at-faced follower with a pre-load, Fp , the contact force, Fc, is given as: Fc = C f (Yc(1) - Y (1) ) + K f (Yc - Y ) + Fp (519)

* n2);

5 ) ln(43 )]

/ n2);

If, in Eq (518), the damping, Cf = 0 (the limiting case), then the cam displacement curve, Yc(t), can be arithmetically determined from the synthesized output motion The quantity Yc(t) can be found for this case as: Yc = [ MY (2 ) + CsY (1) + ( Ks + K f )Y ] K f Here, the contact force can be expressed as: Fc = MY (2 ) + CsY (1) + KsY + Fp (521) (520)

Here is the output:

Command: Command: Command: Command: 100 + 19 , Result: 119 100 / 33 , Result: 303030303030303 -3 * 9 , Result: -27 100 - 87 , Result: 13

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