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A System for Automated Fixture Planning with Modular Fixtures

A System for Automated Fixture Planning with Modular Fixtures

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30<br />

In a future plan <strong>with</strong> overhead clamps, each clamp is assumed to apply the Same amount of damping<br />

<strong>for</strong>ce. The minimized due of the objective function is the necessary clamping <strong>for</strong>ce. In a fixture pIm<br />

<strong>with</strong> a vise. the necessary clamping <strong>for</strong>ce <strong>for</strong> a movable jaw is 3 times the clamping <strong>for</strong>ce at a point contact.<br />

If the magnitude of the clamping <strong>for</strong>ce at the active contact is <strong>with</strong>in the maximal clamping <strong>for</strong>ce of a<br />

clamp (or vise), the fixme plan is valid. ?he least required clamping <strong>for</strong>ce to hold the prt rigidly during<br />

machining is the largest clamping <strong>for</strong>ce among the least clamping <strong>for</strong>ces necessary to maintain the part’s<br />

equilibrium <strong>for</strong> each cutting <strong>for</strong>ce.<br />

3.4.3. Remarks<br />

Force analysis is computationally expensive, and it is not possible to considex evay <strong>for</strong>ce direction along<br />

each cutm path. Often, a mup may inciude multiple feaMes to cut In order to estimate the clamping<br />

<strong>for</strong>ce <strong>with</strong> the milling operaiions, various directions of culling <strong>for</strong>ces may be considered. Thus. a few<br />

represenmtive <strong>for</strong>ce directions at each milling cuter path can be used to speed up the computation.<br />

3.5. Checking part deflection<br />

Part deflection during machining can deteriome part accuracy and cause dynamic problems such as<br />

chatters in the cutting tod and vibrations in a padfixture assembly, a. Far example, when drilling a hole<br />

in il poorly-supported thin part, severe part deflection not only causes the prt to vibrate, but also may break<br />

the drill (see figure 3-11).<br />

support<br />

Figure 3-11: Part detktion due to driUig<br />

When a candidate fixture plan is mth the damping <strong>for</strong>ce at every clamping cornpent, it IS<br />

necessary m check whether pan deflection due to dampmg <strong>for</strong>ce or cutting <strong>for</strong>ce s acceptable. The sues<br />

applied on the contact area between the clamp and the part c, can be estrmated by<br />

F<br />

Q- A<br />

where F is the clamping <strong>for</strong>ce and A is the contact area been the clamp and the pan For example, let<br />

us assume that a swing clamp driven by hydraulic power can apply up to l0,OOO lbs <strong>for</strong>ce. If the contact

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