# UNIT 5: Indexing: Simple, compound, differential and angular indexing calculations. Simple problems on simple and compound indexing.

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1 UNIT 5: Milling machines: Classification, constructional features, milling cutters nomenclature, milling operations, up milling and down milling concepts. Indexing: Simple, compound, differential and angular indexing calculations. Simple problems on simple and compound indexing. Instructional Objectives At the end of this lesson, the students will be able to: State the basic functions and purposes of using milling machines Classify milling machines and illustrate their configurations Visualise kinematic system of commonly used milling machines and explain its working principle. Show and briefly describe the various applications of milling machines using different types of milling cutters. Basic functions and purposes of using milling machines: 7 Hrs The basic function of milling machines is to produce flat surfaces in any orientation as well as surfaces of revolution, helical surfaces and contoured surfaces of various configurations. Such functions are accomplished by slowly feeding the workpiece into the equispaced multiedge circular cutting tool rotating at moderately high speed as indicated in Fig Upmilling needs stronger holding of the job and downmilling needs backlash free screw-nut systems for feeding. Fig. 5.1 Schematic views of conventional up and down milling Milling machines of various type are widely used for the following purposes using proper cutting tools called milling cutters: 1

2 Flat surface in vertical, horizontal and inclined planes Making slots or ribs of various sections Slitting or parting Often producing surfaces of revolution Making helical grooves like flutes of the drills Long thread milling on large lead screws, power screws, worms etc and short thread milling for small size fastening screws, bolts etc. 2-D contouring like cam profiles, clutches etc and 3-D contouring like die or mould cavities Cutting teeth in piece or batch production of spur gears, straight toothed bevel gears, worm wheels, sprockets, clutches etc. Producing some salient features like grooves, flutes, gushing and profiles in various cutting tools, e.g., drills, taps, reamers, hobs, gear shaping cutters etc. Classification of milling machines: Milling machines can be broadly classified into (a) According to nature of purposes of use : General purpose most versatile, commonly used mainly for piece or small lot production Single purpose e.g., thread milling machines, cam milling machines and slitting machine which are generally used for batch or lot production. Special purpose these are used for lot or mass production, e.g., duplicating mills, die sinkers, short thread milling etc. (b) According to configuration and motion of the work-holding table / bed: Knee type : typically shown in Fig In such small and medium duty machines the table with the job/work travels over the bed (guides) in horizontal (X) and transverse (Y) directions and the bed with the table and job on it moves vertically (Z) up and down. 2

3 Machine parts: 1. column 2. bed 3. cross slide 4. work table 5. ram 6. ram support 7. arbour support Table feed motions: a. longitudinal feed b. cross feed c. vertical feed Fig. 5.2 Knee type milling machine Bed type (Fig. 5.3) : Usually of larger size and capacity; the vertical feed is given to the milling head instead of the knee type bed 3

4 Fig. 5.3 Bed type milling machine Planer type (Fig. 5.4): These heavy duty large machines, called plano-miller, look like planing machine where the single point tools are replaced by one or a number of milling heads; generally used for machining a number of longitudinal flat surfaces simultaneously, viz., lathe beds, table and bed of planning machine etc. 4

5 Rotary table type: Such open or closed ended high production milling machines possess one large rotary work-table and one or two vertical spindles as typically shown in Fig. 5.5; the positions of the job(s) and the milling head are adjusted according to the size and shape of the job. Fig. 5.4 Planar type milling machine Fig. 5.5 Rotary table type milling machine 5

6 (c) According to the orientation of the spindle(s): Plain horizontal knee type (Fig. 5.6) This non-automatic general purpose milling machine of small to medium size possesses a single horizontal axis milling arbour; the work-table can be linearly fed along three axes (X,Y, Z) only; these milling machines are most widely used for piece or batch production of jobs of relatively simpler configuration and geometry Horizontal axis (spindle) and swivelling bed type: These are very similar to the plain horizontal arbour knee type machines but possess one additional swivelling motion of the work-table Fig. 5.6 Plain horizontal knee type milling machine Vertical spindle type: In this machine, typically shown in Fig. 5.7, the only spindle is vertical and works using end mill type and face milling cutters; the table may or may not have swivelling features 6

7 Universal head milling machine: These versatile milling machines, typically shown in Fig. 5.8, not only possess both horizontal milling arbour and the vertical axis spindle, the latter spindle can be further tilted about one (X) or both the horizontal axes (X and Y) enabling machining jobs of complex shape. Fig. 5.7 Vertical spindle type milling machine (d) According to mechanisation / automation and production rate: Milling machines are mostly general purpose and used for piece or small lot production. But like other machine tools, some milling machines are also incorporated with certain type and degree of automation or mechanisation to enhance production rate and consistency of product quality. In this respect milling machines can be further classified as follows: Hand mill (milling machine) - this is the simplest form of milling machine where even the table feed is also given manually as can be seen in Fig

8 Fig. 5.8 (a) & (b) Universal head milling machine Fig. 5.9 Hand mill (milling machine) Planer and rotary table type vertical axis milling machines: are not that automated but provide relatively higher production rate 8

9 Tracer controlled copy milling machine, typically shown in Fig. 5.10, are mechanically or hydraulically operated semi-automatic milling machines used for lot production of cams, dies etc by copying the master piece Milling machines for short thread milling may be considered single purpose and automatic machine being used for mass production of small bolts and screws. Fig Tracer controlled milling machine Computer Numerical Controlled (CNC) milling machine: Replacement of hard or rigid automation by Flexible automation by developing and using CNC has made a great break through since mid seventies in the field of machine tools control. The advantageous characteristics of CNC machine tools over conventional ones are : Flexibility in automation Change-over (product) time, effort and cost are much less Less or no jigs and fixtures are needed Complex geometry can be easily machined 9

10 High product quality and its consistency Optimum working condition is possible Lesser breakdown and maintenance requirement Fig typically shows a CNC milling machine. The versatility of CNC milling machine has been further enhanced by developing what is called Machining Centre. Fig visualises one of such Machining Centres. Fig.5.11 CNC Milling Machine Fig CNC Machining Centre Kinematic system of milling machine: The kinematic system comprising of a number of kinematic chains of several mechanisms enables transmission of motions (and power) from the motor to the cutting tool for its rotation at varying speeds and to the work-table for its slow feed motions along X, Y and Z directions. In some milling machines the vertical feed is given to the milling(cutter) head. The more versatile milling machines additionally possess the provisions of rotating the work table and tilting the vertical milling spindle about X and / or Y axes. 10

11 Fig.5.13 typically shows the kinematic diagram of the most common and widely used milling machine having rotation of the single horizontal spindle or arbour and three feed motions of the work-table in X, Y and Z directions. The milling cutter mounted on the horizontal milling arbour, receives its rotary motion at different speeds from the main motor through the speed gear box which with the help of cluster gears splits the single speed into desirably large number(12, 16, 18, 24 etc) of spindle speeds. Power is transmitted to the speed gear box through Vee-belts and a safety clutch as shown in the diagram. For the feed motions of the workpiece (mounted on the work-table) independently, the cutter speed, rotation of the input shaft of the speed gear box is transmitted to the feed gear box through reduction (of speed) by worm and worm wheels as shown. The cluster gears in the feed gear box enables provide a number of feed rates desirably. The feeds of the job can be given both manually by rotating the respective wheels by hand as well as automatically by engaging the respective clutches. The directions of the longitudinal (X), cross (Y) and vertical (Z) feeds are controlled by appropriately shifting the clutches. The system is so designed that the longitudinal feed can be combined with the cross feed or vertical feed but cross feed and vertical feed cannot be obtained simultaneously. This is done for safety purpose. A telescopic shaft with universal joints at its ends is incorporated to transmit feed motion from the fixed position of the feed gear box to the bed (and table) which moves up and down requiring change in length and orientation of the shaft. The diagram also depicts that a separate small motor is provided for quick traverse of the bed and table with the help of an over running clutch. During the slow working feeds the rotation is transmitted from the worm and worm wheel to the inner shaft through three equi-spaced rollers which get jammed into the tapering passage. During quick unworking work-traverse, the shaft is directly rotated by that motor on-line without stopping or slowing down the worm. Longer arbours can also be fitted, if needed, by stretching the over-arm. The base of the milling machine is grouted on the concrete floor or foundation. 11

12 Fig.5.13 Kinematic diagram of a milling machine Various applications of milling machines using different types of milling cutters: 12

13 Milling machines are mostly general purpose and have wide range of applications requiring various types and size of milling cutters. Intermittent cutting nature and usually complex geometry necessitate making the milling cutters mostly by HSS which is unique for high tensile and transverse rupture strength, fracture toughness and formability almost in all respects i.e. forging, rolling, powdering, welding, heat treatment, machining (in annealed condition) and grinding. Tougher grade cemented carbides are also used without or with coating, where feasible, for high productivity and product quality. Broad classifications of milling cutters: Milling cutters are broadly classified as, (a) Profile sharpened cutters where the geometry of the machined surfaces are not related with the tool shape, viz; 1. Slab or plain milling cutter : straight or helical fluted 2. Side milling cutters single side or both sided type 3. Slotting cutter 4. Slitting or parting tools 5. End milling cutters with straight or taper shank 6. Face milling cutters (b) Form relieved cutters where the job profile becomes the replica of the tool-form, e.g., viz.; 1. Form cutters 2. Gear (teeth) milling cutters 3. Spline shaft cutters 4. Tool form cutters 5. T-slot cutters 6. Thread milling cutter Various uses of different milling cutters and milling machines: Use of profile sharpened cutters: 13

14 The profile sharpened cutters are inherently used for making flat surfaces or surface bounded by a number of flat surfaces only. Slab or Plain milling cutters : Plain milling cutters are hollow straight HSS cylinder of 40 to 80 mm outer diameter having 4 to 16 straight or helical equi-spaced flutes or cutting edges and are used in horizontal arbour to machine flat surface as shown in Fig Fig Machining flat surface by slab milling Side and slot milling cutters: These arbour mounted disc type cutters have a large number of cutting teeth at equal spacing on the periphery. Each tooth has a peripheral cutting edge and another cutting edge on one face in case of single side cutter and two more cutting edges on both the faces leading to double sided cutter. One sided cutters are used to produce one flat surface or steps comprising two flat surfaces at right angle as shown in Fig Both sided cutters are used for making rectangular slots bounded by three flat surfaces. Slotting is also done by another similar cutter having only one straight peripheral cutting on each tooth. These cutters may be made from a single piece of HSS or its teeth may be of carbide blades brazed on the periphery or clamped type uncoated or coated carbide inserts for high production machining. Slitting saw or parting tool (Fig. 5.15): These milling cutters are very similar to the slotting cutters having only one peripheral cutting edge on each tooth. However, the slitting saws are larger in diameter and much thin 14

15 possess large number of cutting teeth but of small size used only for slitting or parting Fig Side milling cutters and slitting saw and their use End milling cutters or End mills: The shape and the common applications of end milling cutters (profile sharpened type) are shown in Fig The common features and characteristics of such cutters are: Mostly made of HSS 4 to 12 straight or helical teeth on the periphery and face Diameter ranges from about 1 mm to 40 mm Very versatile and widely used in vertical spindle type milling machines End milling cutters requiring larger diameter are made as a separate cutter body which is fitted in the spindle through a taper shank arbour as shown in the same figure. 15

16 Fig Use of end milling cutters and shell mill Face milling cutters: The shape, geometry and typical use of face milling cutters are shown in Fig The main features are: Usually large in diameter (80 to 800 mm) and heavy Used only for machining flat surfaces in different orientations Mounted directly in the vertical and / or horizontal spindles Coated or uncoated carbide inserts are clamped at the outer edge of the carbon steel body as shown Generally used for high production machining of large jobs. 16

17 Fig Face milling cutters and their working Use of form relieved cutters (milling): The distinguishing characteristics of such cutters, in contrast to profile sharpened cutters, are ; Form of the tool is exactly replica of the job-profile to be made Clearance or flank surfaces of the teeth are of archemedian spiral shaped instead of flat Teeth are sharpened by grinding the rake surface only Used for making 2-D and 3-D contour surfaces The configurations and applications of several form relieved type milling cutters of common use are briefly presented. Form cutters: Such disc type HSS cutters are generally used for making grooves or slots of various profiles as indicated in Fig Form cutters may be also end mill type like T-slot cutter as shown in Fig

18 Fig Form cutters and their use Fig T-slot cutter Gear teeth milling cutters: Gear milling cutters are made of HSS and available mostly in disc form like slot milling cutters and also in the form of end mill for producing teeth of large module gears. The form of these tools conform to the shape of the gear tooth-gaps bounded by two involutes as shown in Fig Such form relieved cutters can be used for producing teeth of straight and helical toothed external spur gears and worm wheels as well as straight toothed bevel gears. Spline shaft cutters: These disc type HSS form relieved cutters are used for cutting the slots of external spline shafts having 4 to 8 straight axial teeth. Fig typically shows such application. Tool form cutters: Form milling type cutters are also used widely for cutting slots or flutes of different cross section e.g. the flutes of twist drills (Fig. 5.22), milling cutters, reamers etc., and gushing of hobs, taps, short thread milling cutters etc. 18

19 Fig Gear milling cutters and their use Fig Spline shaft cutter Fig Cutting of drill flutes by form milling cutter Thread milling cutters: Such shank type solid HSS or carbide cutters having thread like annular grooves with equi-spaced gushings are used in automatic single purpose milling machines for cutting the threads in large lot production of screws, bolts etc. Both internal and external threads are cut by the tool as shown in Fig. 19

20 5.23. The milling cutter and its use in long thread milling (e.g. lead screws, power screws, worms etc.) are shown in Fig Fig Short thread milling Fig Long thread milling Some other applications of milling machines using suitable milling cutters: Straddle milling: For faster and accurate machining two parallel vertical surfaces at a definite distance, two separate side milling cutters are mounted at appropriate distance on the horizontal milling arbour as shown in Fig Gang milling: In gang milling, being employed, where feasible for quick production of complex contours comprising a number of parallel flat or curved surfaces a proper combination of several cutters are mounted tightly on the same horizontal milling arbour as indicated in Fig

21 Fig Straddle milling Fig Gang milling Turning by rotary tools (milling cutters) During turning like operations in large heavy and odd shaped jobs, its speed (rpm) is essentially kept low. For enhancing productivity and better cutting fluid action rotary tools like milling cutters are used as shown in Fig Fig Turning by rotary milling cutters Ball-nose end mill: 21

22 Small HSS end mill with ball like hemispherical end, as shown in Fig. 5.28, is often used in CNC milling machines for machining free form 3-D or 2-D contoured surfaces. Ball-nose end mills may be made of HSS, solid carbide or steel body with coated or uncoated carbide inserts clamped at its end as can be seen in the figure. Beside the aforesaid application, the versatile milling processes using several other types of milling cutters are employed for many other machining work like cam milling, keyway cutting, making hob cutter and so on. For enhancing capability range of milling work a number of attachments are fitted in the milling machines. Such milling attachments include Universal milling and spiral milling attachment Indexing head simple, compound and differential type Universal milling and spiral milling attachment Copying attachment (mechanical and hydraulic (tracer control) Slotting attachment Fig Ball nose end mill 22

23 Indexing Indexing is the operation of dividing the periphery of the work in to any number of equal parts Ex.: Equal spacing of teeth on a gear blank, while cutting spur gear is performed by indexing. This division is made by means of a special device known as dividing head. Usually when the word indexing is used, it refers specifically to rotation. That is, indexing is most often the quick and easy but precise rotation of a machine part through a certain known number of degrees. However, the swapping of one part for another, or other controlled movements, are also sometimes referred to as indexing, even if rotation is not the focus. Indexing operations can also be adopted for 1. Producing hexagonal and square headed bots 2. Cutting splines on shafts 3. Fluting drills, taps and reamers and many other jobs. An indexing head (also called a dividing head) is a specialized tool that allows a workpiece to be indexed in the rotational sense that is, easily and precisely rotated to any angle or circular division. The tool is similar to a rotary table except that it is designed to be adjustable through at least 90 (in fact it will travel to approximately 95 ). The workpiece can be held with a collet in the indexing head, or between centers with the help of an accompanying tailstock (sometimes called a footstock). Indexing plates: Simple indexing consists of a series of preset holes in a backing plate, these divisions are provided for the most common angles (such as 90, 45, 30, etc). The remaining divisions of a circle are provided by manually rotating the dividing arm using index plates. Tables or calculations are required to use this method. 23

24 View showing simple indexing back plate Three plates are given with the Brown and Sharpe dividing head. these are: Plate No. 1: holes Plate No. 2: holes Plate No. 3: holes Indexing can be achieved by the following four methods: 1. Direct indexing 24

25 2. Simple indexing 3. Compound indexing 4. Differential indexing Note: The method employed for any particular piece of work is determined by the number of divisions required and the type of dividing head used. Direct Indexing: is the simplest of four methods. The dividing head has a circular plate attached to its main spindle and has a circle of 24 equally spaced holes struck behind it. A locking pin operated by the handle engages with any one of the holes, and locks the plate and spindle in position Since the plate has 24 holes, then any number of divisions which divide evenly into 24 can be indexed by this method. To find the indexing movement, divide the number of divisions required into 24. Simple Indexing: is achieved by using index plates while the main spindle is rotated by turning the index crank. The choice and use of suitable index plates generally extends the range of indexing and the majority of divisions can be obtained in this way. The rule for simple indexing is: Divide 40 by the number of divisions required. The quotient obtained gives the number of turns or parts of a turn of the index crank required for the given number of divisions. The circle of holes chosen must be a multiple of the denominator of the fraction obtained. Turns of index 40 crank Where, N = Number of divisions or cuts required. = N 25

26 Compound Indexing: When a number of divisions required is outside the range of that secured by simple indexing, a method known as compound indexing may be employed. The process of compound indexing aims at securing a required division by using two separate simple indexing movements. This is done in two stages: 1. By turning the crank a definite amount in the usual way. 2. By turning the index plate itself in such a way that a further movement is added to, or subtracted from, that obtained in the first operation. The index plate locking pin is withdrawn and the plate turned the necessary amount in the same direction as, or the opposite direction to, that of the crank. Ex.: Suppose that the crank is indexed 3 holes on an 18 hole circle, and the index plate is turned 5 holes on a 20 hole circle in the same direction as the crank. The combined movements turn the worm = of a revolution. Since 40 turns of the worm turn the work 1 revolution, then turn of the worm turns the work 5 1 = revolution Thus the combined movements turn the work 1 96 of a revolution, and 96 divisions can be indexed. If on the other hand, the index crank is turned 5 holes on an 18 hole circle, and the index plate is turned 2 holes on a 20 hole circle in the opposite direction, the combined movements now turn the worm = of a revolution. This rotates the work = of a revolution, thus giving 225 divisions It is clear, therefore, that by choosing suitable circles of holes and compounding the movements in this way, it is possible to obtain a range of indexing which is greater than that obtained by simple indexing. The following rule determines what index circles are necessary for a compound indexing operation: Rule: 26

27 (1) Factorise the number of divisions required. Choose for trial two index circles, both of which are on the same plate, and factorise their difference. Place these two sets of factors above a horizontal line. Factorise the dividing head ratio (40) and also the number of holes in each index circle chosen. (2) Place these three sets of factors below the line. (3) If suitable index circles have been chosen then all the factors above the line will be cancelled by the factors below the line. If this does not occur, two other circles must be chosen and another attempt made. The following examples will illustrate the use of the rule. Rule for compound indexing: 40 n n = ± N N N Where, N = the number of divisions required N 1 = the hole circle used by the crank pin N 2 = the hole circle used by the locking pin n 1 = the hole spaces moved by the crank pin in N 1 hole circle and n 2 = the hole spaces moved by the plate and the crank pin in N 2 hole circle 27

28 Differential Indexing: A very useful method of indexing, one by which almost any number of divisions can be obtained, is known as differential Indexing. In principle, it is the same as compound indexing, except that the index plate is rotated by means of a train of gears connected to the divided head spindle. With the correct combination of gears, turning the index crank causes the index plate to move automatically in the right direction, and through the amount required to give the desired movement in the dividing head spindle. The problem, is, therefore, to calculate the necessary gear train and indexing movement for a given number of divisions. The gears supplied with the Brown and Sharpe dividing head are as follows: 24 (2); 28; 32; 40; 44; 48; 56; 64; 72; 86; and 100 teeth. 28

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