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32. Metal-Products Manufacturing Chap. 7 Trent, E. M., and P K. Wright. 2000. Metal cuuing, 4th ed. Boston and Oxford: Butterworths. Wagner, R., G. Castanouo, and K. Goldberg. 1997. Fixture.Net: Interactive computer aided design via the WWW.lnternationalJournalon Human-Computer Studies 46: 773-788. Walczyk, D. E. and D. E. Hardt. 1998. Design and analysis of reconfigurable discrete dies for sheet metal forming. Journal of Manufacturing Systems 17 (6): 436-454. 7.9 BIBLIOGRAPHY Bamrnann, D. 1 M. L.Chiesa, and J. C. Johnson, 1995. Modeling large deformation anisotropy in sheet metal forming. In Simulation of materials processing: Theory, methods, and apptica- lions, 657-660. edited by Shell and Dawson, Rotterdam: Balkema. Devries, W R.1992.Analysis afmaterial removal processes. New York: Springer-Verlag. Klamecki. B. E and K. I Weinmann. 1990. Fundamental issues in machining. In Proceedings of the Winter Annual Meeting of ASME in Dallas Texas, 43: New York: American Society of Mechanical Engineers. Kobayashi. S., S-1. Oh. and T. Altan. 1989. Metal forming and the finite element method. New York and Oxford: Oxford University Press Komanduri. R. 1997. Tool materials. In The Kirk-Othmer Encyclopedia of Chemical Tech- 110101;)" 4th ed 24. New York: John Wiley and Sons. OXley, P. L. B. 1989. The mechanics ofmachining:An analytical approach to assessing machin- ability. New York: Halsted Press. Pittman, IT., R. D.Wood, I M.Alexander, and 0. C. Zienkiewicz.1982.Numerical methods in industrial forming operations. Swansea, u.K.: Pineridge Press. Shaw, M. C 1991. Metal cutting principles. Oxford Series on Advanced Manufacturing, Vol. 3. Oxford: Oxford Science Publications, Clarendon Press. Stephenson, D. A, and R. Stevenson. 1996. Marertats Issues in machining III and the physics of machining processes Ill, Warrendale, PA: TMS Press (Minerals, Metals, and Materials Society). Wang, C, H. 1997. Manll!acturability-driven decomposition of sheet metal products. Robotics Institute Technical Report CMU-RI-TR-97-3S. Pittsburgh, PA: Carnegie Mellon University. 7.10 URLS OF INTEREST A collection of sites for machining planning and automation can be found at <hUp:llkingkong.me.berkeley.edulhtmllcontactlmach_software.html>. A site for metal products in general is <www.cemmerceene.cem». 7.11 INTERACTIVE FURTHER WORK " THE SHEAR PLANE ANGLE Use Netscape with Java capability to access <http://cybercut.berkeley.edul mer- chant>. Dr. Sandstrom of The Boeing Company has built an interesting Java applet that investigates the variables in the Ernst and Merchant theory of metal cutting, 7.12 Interactive Further Work 2: "Hxturenet" 325 Complete the table for the following 12cases: Friction coefficient: 1.1.(0 to 1) Friction angle: Write in (degrees) SheBl'anglc: Write in (degrees) o +45 +45 +45 +6 +6 +6 -6 -6 -6 -42 -42 o o 0.5 1.0 o 0.5 1.0 o 0.5 1.0 o 1.0 7.12 INTERACTIVE FURTHER WORK 2: "FIXTURENET" Modular fixturing on the World Wide Web is by Dr. Kenneth Goldberg and his stu- dents. The URL to use is<http://riotJeor.berkeley.edu>,andthenclickonFIxtnreNet. Brost, R., and K. Goldberg. 1996.A complete algorithm for designing modular fix- tures using modular components. IEEE Transactions on Robotics and Automation 12(1). Wagner, R., G. Castanotto, and K. Goldberg. 1997. FixtureNet: Interactive com- puter aided design via the WWW. International Journal on Human-Computer Studies 46: 773-788. A modular fixture consists of a metal lattice with holes spaced at even intervals (Figure 7.34a), three locators (Figure 7.34b), and a clamp (Figure 7.34c), which make four contacts and hold objects in "form closure." Figure 7.34d is a photograph of their use. Figure 7.35 shows a part on the World Wide Web with three locators and clamp in form closure. The three locators fit into the fixed lattice and are positioned in such a way that they are touching three edges of the part. The clamp must also be placed un the lattice so that damp motion is horizontal or vertical. The clamp can be posi- tioned to push against the object. An admissible fixture is an arrangement of the three locators and clamp on the lattice that holds the part in form closure. The conservative assumption is made that there is no friction. TWofixture arrangements are equivalent if one can be trans- formed into the other using rigid rotation and translation. RakellllglC' a (degrees) 328 Metal-Products Manufacturing Chap. 7 (b) (0) (d) Fipre 7.34 (a) Modular lattice, (b) locator, (c) clamp. and (d) physical setup. The general problem is: Given a polygonal part boundary, find aU admissible fixtures (if any). The Algorithm is: Step 1: Grow the part by the radius (r) of the locators, and shrink the locators to a point. Curved portions are eliminated because we assume that locators and clamps have to be placed on straight surfaces and locators may also damage comers of delicate parts. Step ~ Label each edge 1.2,3, , n in a counterclockwise fashion. Step 3: Consider all combinations of triplets in counterclockwise increasing order- for example,1,2,3 or 1,2,4 or 1,2,5 or 1,3,4or2,3,4.Foreach triplet,call the edges a, b, c.This willgive us all possible arrangements of the three loca- tors in contact with the three edges of the part. Step 4: Without the loss of generality, assume edge a is in contact with a locator at (0,0). Fwd aUpossible positions for L2 in contact with edge b. First trans- 7.13 Review Questions 321 Flgu~ 7.3$ Screen dump from the Web site. late and then rotate the part while maintaining contact between edge a and the locator. Consider only one quadrant of all possible locations that the second locator (L2) can be placed, because the other three quadrants would be reflections about the origin. Step 5: For each choice of L2, find all possible choices of L3. Given (a-L1, b-U), solve for c Or (very fast) solve for (a-U,c-L3) an annulus and (b-L2,c-L3) another annulus. Intersect to find all consistent choices for (c-L3). Step 6: For each triplet of locator-edge matches (two acceptable designs in this example), find all possible clamp arrangements. Use the Reuleaux rotation center construction. Step 7: Repeat Steps 3 to 6 for each triplet of edges. Step 8: Output all possible solutions. The time order of this algorithm is O(n5d5), where n is the number of edges and d is the diameter of the part in lattice units. Question: Can all polygonal parts be fixtured? Specific assignment: Use FixtureNet to design two modular alternative fixtures for a part. Compare these and explain why one might be preferable. 328 Metal-Products Manufacturing Chap. 7 7.13 REVIEW QUESTIONS L In forming, forging, and extrusion operations, a popular technique for pre- dicting approximate loads and metal flow patterns is the upper bound tech- nique (Johnson and Mellor, 1973; Rowe, 1977; Hill, 1956). The upper bound technique can also be used to make an estimate for the force necessary to form the chip in metal cutting. The analysis first enlarges the center section in Figure 7.36 and then considers the complete shear band OD, which has a total length of (s). Show that the final result for the force F c is found as: k·V 'S F, ~ ~ (7.24) In this equation, k is the shear yield strength of the metal, V is the incoming velocity, V~ is the shear velocity along OD, and s is the length of OD. Z. The basic rolling operation creates a wide flat strip in a coil. This strip is sold to a secondary processor, who carries out the sheet-metal forming operation. Automobiles, washing machines, office furniture, filing cabinets, and the inside casings that carry the PCBs in a computer all start as rolled product. The sec- ondary processor takes the large coils that come off a rolling mill, shears them into much smaller starting blanks, and then sheet forms them in a pressing die shaped to the required geometry (Figure 7.37). 8. Show that the approximate roll load P = w • Y .Viidhwhere w is the width of the strip, Y is the average yield strength of the material as it goes through the roll gap, R is the radius of the rolls,and dh is the reduction. b. Figure 7.38 shows a strip being pushed from left to right and into the roll gap. The top edge of the strip (E) is shown meeting the rolt.Jt experiences two counteracting forces: one that tries to push it out, and another, due to fric- tion, that tries to suck it in. The conditions that allow the strip to go in and be rolled require that the friction component be greater than the pushing- out component. F'lprft7.36 Stress element at the shear plene, 7.13 Review Questions 329 Roll Entry of strip, h1 E~tofstrip,h2 Figuft 7.37 Sheet rolling: material on the left enters the roll gap and is plastically deformed by an amount (h,-h, = dh) Show that because of the balance between the friction that "pulls in" the sheet and the roll angle that "pushes out" the sheet, the maximum reduction in one pass is given by (7.25) The basic physics of friction, and the roll radius, control the maximum reduction in one pass. These mechanical analyses show why ultraexpensive multiple stands are needed at the standard steel mill to produce flat rolled strip for consumer products. "+ Pu'h""riP'"(~","B~' Roll"diw,R E ~ J.lFRcosB i D.ht2 ~' Sucks strip out Original strip thickness FIgure 7.38 The roll bile: the top edge (E) is shown meeting tbe roll. CHAPTER PLASTIC-PRODUCTS MANUFACTURING AND FINAL ASSEMBLY 8.1 INTRODUCTION University students arrive on campus wearing in-line skates, listening to a Walkman, and sipping designer water from a plastic bottle. The manufacturing processes for these three products are reviewed in this chapter. In particular, injection molding is presented in detail because it creates the packages for consumer electronics prod- ucts. The outer bodies of these products must be lightweight, protective, and cheap. They must also offer the aesthetic impact Lagive the product shelf appeal at the nearby mall or dot.com site. It is also important to look back on our "journey along the product develop- ment path." As shown on the clock-face diagram in Figure 2.1, the various steps were: • Design of the product (Chapter 3) • Prototyping of the product (Chapter 4) • Making the inner brains (Chapter 5) • Assembling the inner system (Chapter 6) • Machining a mold (Chapter 7) • Injection into this mold (Chapter 8) As a result, plastic injection molding and product assembly can be seen as a cut- mination of the processes and devices in all the previous chapters, arriving at the pro- duction of millions of units ready for the consumer. At the same time it should be recalled from the case study in Chapter 2 on the fingerprint recognition device that injection molds can be machined from aluminum, allowing small batches of only 200 units to be made for early customer testing or for evaluation kits. 330 8 8.2 Properties of Plastics 331 8.2 PROPERTIES OF PLASTICS Plastics, or polymers, have different properties than the metals presented in Chapter 7, and it is important to review these before moving on to injection molding or blow molding. In fact the molecular and thermal properties of polymers govern many, if not all, of the part design and equipment design issues shown in subsequent figures. As in Chapter 7,it is assumed that the reader has enjoyed a freshman class in material science and recalls that polymers fall into two broad classes: • Thermosetting molding materials. These include the melamine-formaldehyde used in hard plastic tableware and the epoxy resins used for glues and rein- forced cast products such as kayaks and tennis racket frames. Thermosetting products are heated until they become a viscous liquid, poured or injected into a mold, and then allowed to solidify.Chemical cross-linking occurs to create an irreversible, infusible mass. •Thermoplastic molding materials. These include polymers such as acrylonitrile- butadiene-styrene (ABS) and polycarbonate (Lexan is a common brand) used for toys, consumer electronic products, and more flexible kitchenware prod- ucts. The key feature is that these plastics can be heated to a viscous fluid, molded, and cooled in a reversible, time-and-time-again manner. As a result, they are perfect for the routine injection molding processes described later. They are therefore reviewed in more detail in the next section. 8.2.1 Properties of Thermoplastics Which particular polymer should be used for a given component? The answer depends on how that polymer behaves at the operating temperature of the device. All thermoplastic polymers go through the generic transition described in Table 8.1 for polystyrene, but they do so at different temperatures. At low temperatures, the polystyrene's structure is glassy and it has a high stiff- ness as measured by Young's modulus, E. The stiffness can also be increased by increasing the molecular weight of a polymer, by increasing the branching of the polymer chains, by creating specific crystallization patterns in which the chains are folded against each other, and by adding elements that cross-link the chains. Speaking colloquially, the mechanical properties at low temperatures can be viewed as being comparable with metals and involving bond stretching, but at higher tem- peratures the molecular chains of the polystyrene slide over each other like cooked spaghetti. TABLE 8.1 General Characteristics of Thermoplastic Materials Related to Poly",tyrene Macroview Microview <90 90-120 120-140 >,.•• Glassy Transition leathery Rubbery plateau Viscous liquid Bond stretching as in meta!s Chain bending/uncoiling Chain slipping Chain sliding -c: 332 Plastic-Products Manufacturing and Final Assembly Chap. 8 10 10- 10 lO-l! 10-6 10-4 10-2 100 10' 10' 10' TIme, hours FIgure 8.1 Stress relaxation of PMMA between 40 and 155 degrees. Dashed lines are extrapolations (adapted from McLoughlin and Tobolsky, 1952). Glassy Temperature Flpre 8.2 Schematic curve to ~hQWthe glass transition temperature. Specific volume versus temperature. This use of Young's modulus, E, is too simplistic for thermoplastics because deformation is both temperature and time dependent. The stress-relaxation mod- ulus, E, is thus used. Plastic specimens at several temperatures, T, are tested by imposing a selected elongation, or strain £'1' The test measures how the imposed stress decays away over time. 8.2 Properties of Plastics 333 3.Semicrystalline just over T g , rigid and tough (polyethylene) 1. CryslallineslruclUrai polymer c-c T g (PMMA) 1 I End Use 1 I \ 2. Leathery at room temperature> T g (polyvinylchloridesheel) a.Blastomers 5. Crystalline but (GRS;croSlilinked fibrous (nylon) in rubber region) FIpre 8.3 Design choices with polymers. The stress-relaxation modulus is U1I;:ngiven by, Er(t, T) = ~ (8.1) e, Typical results (McLoughlin and Tobolsky, 1952) are shown in Figure 8.l. These tests are for polymethyl methacrylate (PMMA), commonly called Plex- iglass (in the United States) or Perspex (in the United Kingdom).At 40°C,the mate- rial remains rigid for long periods, but with increasing temperature, the material becomes leathery above temperatures of 135°Cand eventually viscous. Another key concept is the glass transition temperature, at which a thermo- plastic transitions from its glassy to leathery behavior. In Figure 8.2 the specific volume of polyvinyl acetate is plotted against temperature. The value of the glass transition temperature is found by extrapolating the glassy region and the leathery region to the intersection point at T g = 26°Cin this case. 8.2.2 The Influence of Properties on High-Level Design From a design perspective. the strategy is to pick a polymer that displays the desired characteristics at the operating temperature of the product, most often room tem- perature. Figure 8.3 shows this design strategy, which includes: • Polymethyl methacrylate, which is a rigid-structured material at room temper- ature, considerably below T g • • Polyethylene and acrylonitriie-butadiene-styrene (ABS), which are just over T g at room temperature but considerably below the melting point and therefore rigid and tough. These are suitable for toys, car parts, and electronics packaging. • Polyvinyl chloride sheet, which is leathery at room temperature and suitable for some forms of clothing and imitation leather products. This background sets the scene for the injection molding of ABS to create devices like the fingerprint recognition unit and the InfoPad. At the conceptual level, the ABS is heated into the highly viscous state, pumped into a die cavity, and then allowed to cool into the desired product. The details of the process, with some of its more challenging aspects, are described next. [...]... (Chapter 7) to create the molds, these Plastic-Products 338 Manufacturing and Final Assembly Chap, 8 walls must therefore be tapered to allow easier part ejection The volume contractions of a polymer between its liquid temperature and room temperature are of the order of 10% at normal atmospheric pressure This presents another problem for the manufacturing of plastics because voids and sink marks would... to divert the eye from difficult-to-mold areas (One "trick," for example, is to scribe shallow circles around the gate position.After 344 Plastic-Products Manufacturing and Final Assembly Chap 8 Holes produced by core rods (h) • , o @ @ F1Jure &12 Cantilever snap-fit assembly made possible in the injection molding process: (a) the direction of the arrows shows where core rods would be puUed down after... Boothroyd, 1987) Figure 8 .12 shows mold designs that create such snap-fit cantilevers In the upper diagram, core rods in the mold are movable and leave the plastic projections freestanding and thus able to exhibit flexure In the lower diagram, side-pullout pieces of metal insert create the undercuts beneath the plastic projections 8.4 PROCESSING OF PLASTICS II: POLYMER EXTRUSiON In the bulk manufacturing of...Plastic-Products 334 8.3 PROCESSING METHOD 8.3.1 OF PLASTICS Manufacturing I: THE INJECTION and Final Assembly Chap 8 MOLDING Overview Injection molding is a key production method for the casings of consumer products It is cheap, reliable, and reduces the device's... PositionS Flame U Injection molding cycles.The upper figure ill ram pressure controlled, and the lower figure is mold pressure controlled (courtesy of Barber-Colman DYNA Products) Plastic-Products 340 Manufacturing and Final Assembly Chap 8 • Step 2, alternative 1 to packing, for the packing and holding phase (along A to B to C in Figure 8.7): the ram pressure is used to control the process The pressure... the gate-location side of the mold to the vent positions If the air is not properly vented, it will become superheated, because of the high pressures involved, and scorch the part Plastic-Products 342 Manufacturing ~~~G Ring gate Fan gate :3= and Final Assembly Diaphragm gate O::u ~~ ~~e ~~ Chap 8 a= Sprue gate ~~ (a) Runner Sprue gate Gate Weld line (b> (0) Figure 8.10 (a) Various gate designs in the... mold Once the two halves of the mold have been separated, the ejector pins facilitate "popping the part" out of the lower part of the mold The process is now reviewed in more detail Plastic-Products Manufacturing 33 8.3.2 The Reciprocating-Screw The reciprocating-screw shown in the open and Final Assembly Chap 8 Machine machine is the most used machine in industry It is position in Figure 8.5a Below... by water lines But during the cooldown, the screw can begin to turn again to collect its next shot of polymer pellets and move back to create space in position Y for the next shot 8.3.3 Computer Aided Manufacturing McCrum, Buckley, and Bucknall (1997) describe the research into equipment and control design in recent years The screw has the triple function of transporting the pellets, compressing and... heater Perforated breaker plate Screw Die Barrel Control thermocouples Meterlna sectiort Figure8.13 Flighl Compression section Extrusion with the die on the left F~d pocket Feed section Plastic-Products Manufacturing 346 and Final Assembly Chap.8 \ Extruder Die, Penson Mold ~ OM nozzle c A D Figure 8.14 Blow molding of plastic bottles 8.5 PROCESSING OF PLASTICS III: BLOW MOLDING The blow-molding process... r s v Pr R 0' PR where u = stress P = thermoforming pressure R = the inner radius of the dome s = the thickness of the sheet as shown in Figure 8.15 Equating 8.3 and 8.4 yields (8.4) Plastic-Products Manufacturing 348 and Final Assembly Chap 8 (average thickness) (pressure) Clamp Clamp (radius of circular dome) Figu~ 8.lS n' Differentiating 10(e) = Dome section showing various parameters In(?) this . Microview <90 90 -120 120 -140 >,.•• Glassy Transition leathery Rubbery plateau Viscous liquid Bond stretching as in meta!s Chain bending/uncoiling Chain slipping Chain sliding -c: 332 Plastic-Products Manufacturing. roll. CHAPTER PLASTIC-PRODUCTS MANUFACTURING AND FINAL ASSEMBLY 8.1 INTRODUCTION University students arrive on campus wearing in-line skates, listening to a Walkman, and sipping designer water from a plastic bottle. The manufacturing. the Ernst and Merchant theory of metal cutting, 7 .12 Interactive Further Work 2: "Hxturenet" 325 Complete the table for the following 12cases: Friction coefficient: 1.1.(0 to 1) Friction