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mission index can take throughout the motion of the mechanism The overall size of the mechanism is not important as this is a function generation problem Consequently, the nondimensional ratios of (r/d) and (d/a) are used The value of d determines the size of the mechanism The procedure consists of the following steps Step 1: For the speci ed minimum value of (r/d) and a chosen value of (d/a), using Eq (827), the two segments of n vs q curve are drawn This determines the permissible zone as the region enclosed between the two curves for specifying the motion in the rst half of the cycle Drawing the (-dh/dq) vs q curve in the same graph aids the visualization of the motion in the remaining half of the cycle Step 2: Depending on the nature of the desired function f(q), the n vs q can be speci ed within the permissible region The (d/a) ratio can be changed if necessary Secondorder (acceleration) and third-order (jerk or shock) derivatives of the function f(q) can be controlled in this process Continuity of the function f(q) and its derivatives can also be ensured Harmonic, cycloidal, polynomial, spline, and other types of curves can be used to specify the n vs q curve to satisfy all of the design objectives in the design of the cam Then, the motion in the second half of the cycle is easily computed using Eq (817) The (-dh/dq) vs q curve should be appropriately used to control the motion in the second half of the cycle by specifying a curve in the rst half Step 3: The rotation of the cam in the entire 360 range can be readily obtained by computing the cumulative area under the n vs q curve from 0 to 360 This can be done either analytically or numerically depending on how the n vs q curve is speci ed Note that the analytical expression for (-dh/dq) is readily available from Eq (819) Step 4: Using the kinematic inversion technique the endpoint of the two-link open serial chain can be made to trace the pitch curve of the cam pro le as per the function f(q) obtained in step 3 The nite radius of the roller is then used to obtain the actual pro le of the cam as an envelope of all the positions of the rollers This can be done by computing the equidistant offset curve of the pitch pro le of the cam using the numerically determined normal at the point of contact In practice, by choosing a milling cutter of the same radius as the roller, the pitch pro le is suf cient All of the above steps are implemented in Matlab (2000) and the entire design procedure automated The Matlab scripts generate the G-code for the computer numerically controlled Fadal vertical machining center to manufacture the cam 8124 Force Closure Form closure and force closure are two ways in which the cam and roller can be kept in constant contact even at high speeds Force closure with a helical extension spring is disscussed here Figure 823 shows the arrangement of the spring Three parameters s1, s2, and y are identi ed to locate the spring on the roller crank and the cam These three parameters are determined to meet the following objectives As the mechanism is in motion, the length of the spring should not change excessively as this will impose additional loads on the mechanism The direction of the spring force should be such that it counteracts the separative forces acting on the cam and roller An optimization problem was solved for the single dwell cam to minimize the maximum variation of the spring length with s1, s2, and y as the design variables The Nelder-Mead simplex algorithm was used for this purpose 8125 Quasikinetostatic Analysis In this section, the expressions for computing the input torque required at the roller crank are presented If the mechanism operates at high speeds, inertia forces should also be taken.

The output is shown here:

SELECT NVL( F__1Axis__1,F__2Axis__1 ), F__1M__217, F__2M__82 FROM ( SELECT SHPRODUCTSPROD_DESC AS Axis__1, sum(SHCOSTSUNIT_PRICE-SHCOSTSUNIT_COST) AS M__217 FROM SHPRODUCTS, SHCOSTS, SHTIMES WHERE ( SHTIMESTIME_ID=SHCOSTSTIME_ID ) AND ( SHCOSTSPROD_ID=SHPRODUCTSPROD_ID ) AND SHTIMESCALENDAR_YEAR In ( 2005 ) GROUP BY SHPRODUCTSPROD_DESC ) F__1 FULL OUTER JOIN ( SELECT SHPRODUCTSPROD_DESC AS Axis__1, sum(SHSALESAMOUNT_SOLD) AS M__82 FROM SHPRODUCTS, SHSALES, SHTIMES WHERE ( SHTIMESTIME_ID=SHSALESTIME_ID ) AND ( SHPRODUCTSPROD_ID=SHSALESPROD_ID ) AND SHTIMESCALENDAR_YEAR In ( 2005 ) GROUP BY SHPRODUCTSPROD_DESC ) F__2 ON ( F__1Axis__1=F__2Axis__1 )

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