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442 Precision Grinding with Electrolytic In-process Dressing (ELID)



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and its relation with current conservation will be discussed. We can readily show that (7-47a) follows from (7-48). The sketch of a proof given above obviously requires some care. In particular, a consistent gauge-invariant regularization is needed. In fact one of the goals of the renormalization of quantum electrodynamics is precisely to transform the formal Ward-Takahashi identities into relations among renormalized finite quantities. We return to the one-loop calculation and drop the index 1. From Eq. (7-45), r(p', p) - r(p, p) is finite, and r(p, p) is known from the Ward identity in terms of~)p). This means that

Fig. 17-8.





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Grinding with superabrasive wheels is an excellent way to produce a precision surface finish on hard and brittle materials To achieve this, superabrasive diamond grits need a higher bonding strength during grinding, which can be offered by metal-bonded and resinoid-bonded wheels However, truing and dressing of the wheels are major problems, as they tend to glaze because of wheel loading These problems can be avoided by dressing periodically, but this interrupted action makes the grinding process very tedious and time consuming A Japanese research group has introduced an effective technique to overcome the poor self-dressing properties of metal bonds, especially cast iron bonds, in the presence of aqueous lubricants Ohmori and Nakagawa [40] have referred to the method as electrolytic in-process dressing (ELID) The basic concept of grinding with ELID is illustrated in Figures 335 It uses an electro-chemical method to remove the metal bonds and properly expose the diamond particles, thereby maintaining the high efficiency of the grinding operation The basic ELID system consists of a metal or cast-iron-bonded diamond grinding wheel, an electrode (copper or graphite), a power supply and an electrolyte as shown in Figure 423

Fig. 17-9.

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Fig 423: The basic ELID system showing the crucial requirement of a cast iron bond for a grinding wheel to

function grinding fluid as an electrolyte [41]

Fig. 17-10.

The power supply for ELID is used to control the dressing current, voltage and pulse width of the dressing process The metal-bonded wheel is made into the positive pole through the application of a brush smoothly contacting the wheel shaft, and the electrode is made into the negative pole In the small clearance between the positive and negative poles (01-03 mm), electrolysis occurs through the supply of the grinding fluid and an electrical current

Fig 424: A schematic illustration of the ELID grinding principle [40]

There are fuzzy versions of the Boolean operators, too. Instead of a truth table, we represent them as equations and pictures (Fig. 17-10). The min( ) function takes the lower of both values, while max( ) takes the larger. Fuzzy logic also has some modifiers that affect the shape of the membership function. If you want to know if something is very hot and not just hot, you could shape the Hot membership function using the Very modifier before you check the temperature against it. Some modifiers, also known as hedges, are shown in Fig. 17-11. These assume that the output value for 100% membership in a category is 1.00. The hedges take the membership function s points and raise them to a power. Powers greater than 1.0 tighten the function, making it harder to be a full

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