9.8.3 Sculptured Surface Machining – with NURBS Prior to a discussion on the application ‘curve-fit-ting’ with ‘Non-Uniform Rational Bezier-Splines’ – ‘NURBS’ for short, it is worth a b
Trang 1Figure 247 By utilising a ball-nosed cutter geometry for die-sinking sculptured surfaces, this reduces finishing stock needed to
be subsequently removed [Courtesy of Sandvik Coromant]
.
Trang 29.8.3 Sculptured Surface Machining –
with NURBS
Prior to a discussion on the application
‘curve-fit-ting’ with ‘Non-Uniform Rational Bezier-Splines’
– ‘NURBS’ for short, it is worth a brief review into
the background as to why there has been a
wide-ac-ceptance of them for machining operations involving
sculptured surfaces The technique of curve fitting is
not new, it was devised in the 1960’s, where indirect
methods were found making it relatively easy to
ma-nipulate these curves – without recourse to
modify-ing the different equation parameters that defined
the sculptured surface In a typical system, a complex
curve geometry would be comprised of several discrete
curves – termed a ‘spline’ , equally, a surface is simply
a curve with an extra dimension Thus, for
‘curve-fit-ting’ the cubic method is particularly suited, although
a modified cubic approach that can accommodate the
uneven spacing of ‘nodes’ – the start and end points –
has particular benefits when digitising surfaces
In France, Bezier who at that time was working for
the automotive company Renault, was intrigued by car
body design and found the ‘point-and-slope technique’
for curve-fitting rather crude and inconvenient for
accurate and precise curve design (i.e see Fig 248a)
Hence, Bezier’s philosophy was to find a way of
manip-ulating the individual parameters contained within the
curve’s basic equation, but in a more easy and in-direct
manner Bezier utilised an ‘open polygon’ (i.e a plane
figure of many angles and straight sides), by which a
curve that approximates to passing through the start
and end points of the open polygon: results in a
de-signer having the ability to change the polygon and as
such, achieving different results By having more
de-fined points in the polygon, this produces additional
flexible control for surface manipulation Further, the
curves generated are formed by equations comprised
of parameters raised to higher powers than that of the
cubic varieties, thereby having longer and more
com-plex mathematical expressions Such a curve, is a
dis-crete segment in a complex curve and these segments
must be joined together
In the Bezier ‘curve-fitting’ technique, the transition
between the curve segments, or ‘patches’ – the surface
equivalent to a line segment, requires close study by the
designer A further refinement, but not one developed
by Bezier although incorporating his mathematical
ex-pressions, was that of the ‘B-Splines’, which ensure
‘B-Splines’ , were originally introduced by Cops De Bore.
a smooth transition between segments/patches While yet another and improved refinement to the Bezier equations, was the development of non-uniform B-Splines – which could tolerate an uneven spacing of the nodes Terminology which is not usually perceived, but is associated with the term ‘NURBS’ , includes the
‘rational’ and ‘non-rational’ parametric surfaces So,
a ‘rational’ parametric surface may be represented in many forms, with mathematical precision While the cubic non-rational variety cannot express an 90° arc with mathematical precision, although it has adequate accuracy for machining requirements The amalga-mation of the two ‘curve-fitting’ approaches, namely, that of the ‘rational’ parametric surfaces together with
their ‘non-rational’ counterparts, results in Non-Uni-form Rational B-Splines – ‘NURBS’ Hence, ‘NURBS’
in its simplest form, is a data compression algorithm that reduces the data necessary to define curved sur-faces
In order to successfully utilise ‘NURBS’ impressive
‘curve-fitting’ abilities, the term ‘NURBS-interpolation’
was coined by Siemens Energy and Automation – when they first introduced its capabilities onto the market With its ability to reduce data in defining complex curves, ‘NURBS’ offers significant benefits, such as: ties
up less CNC memory producing shorter programs; al-lows higher feedrates to be exploited; produces shorter cycle-times; reduces tool vibrations – hence enhances tool wear rates; improves machined surface geometric definition and finishes; coupled to increased part pro-file accuracy and precision
Today’s CNC controllers have large memories with very high block processing speeds that can
ap-ply sophisticated ‘look-ahead capabilities’ that can scan
the anticipated programmed cutter path for abrupt changes So, these ‘real-time algorithms’ can not only
‘see’ the expected turns coming, but will slow down the feedrate to keep the cutter on its confirmed path and
avoid potentially inconvenient moments of ‘data-star-vation’ Moreover, even these enhanced CNC features
will struggle when a dense cluster of data points gen-erated by linear interpolation possibly causing block processing problems, having the affect of significantly reducing the feedrate as it ‘corners’ from each line seg-ment to the next Consequently, ‘NURBS’ tool paths will undoubtedly alleviate data starvation and feedrate troubles by being more efficient, but like point-to-point toolpaths (Fig 248b), they are not exact representa-tions of the surface The ‘NURBS’ toolpath must be calculated which involves some approximation –
simi-lar to the ‘chordal deviation parameter’ used in many
CAM systems (Fig 248c)
Trang 3Figure 248 CNT tool cutter path control
while contouring sculptured surfaces – utilis-ing nurbs [Courtesy of Sandvik Coromant]
Until about a decade ago, there existed only one
practical way to represent free-flowing curves in a
cutter path This was despite the fact that CAD/CAM
systems could mathematically define virtually any geometric shape with smooth curves These CAD/ CAM systems generated pristine forms which would
Trang 4have to be converted into a recognisable
program-ming structure that the machine tool’s servo-drives
could understand and apply This ‘translation’ took
the form of representing complex curves as a series of
straight lines, or linear segments, being joined
end-to-end within a user-defined tolerance band (Fig 248a)
Thus, the length of each linear segment was governed
by the curvature of the profile and the tolerance band
previously set Any tight precision radii on the
work-piece, requires very small tolerance bands, creating a
large number of segments needing considerable
pro-grammed-blocks of toolpath data This technique is
acceptable in many respects, but its hardly very
effi-cient because complex 3-D surfaces need large
quan-tities of data to accurately represent their geometric
profiles This conflict between ‘CAD shape-defining
data’ to that of the machine tool’s motional
kinemat-ics necessary to produce the profile, means that
trans-mission rates and corresponding feedrates suffer, as
each line segment corresponds to a ‘bottleneck’ in the
part program, this being data point expressed as an
X-Y-Z co-ordinate To minimise these problems and
more specifically, now that HSM capabilities are
com-monplace, CNC builders are incorporating ‘complex
curve interpolation’ capabilities into their controllers,
enabling tool paths to be machined utilising the same
mathematical terms that CAD/CAM systems use to
generate them In other words, ‘NURBS’ , which in
practice largely means that for the same quantity of
data, the controller can achieve faster, smoother and
more accurate machining
A ‘NURBS’ is constructed from three discrete
pa-rameters: Poles; Weights; and Knots As a result of
‘NURBS’ being defined by non-linear motions, the
tool paths will have continuous transitions, enabling
significantly higher: acceleration; deceleration; plus
enhanced interpolation speeds; than was previously
‘NURBS’: The rational equation, can be expressed, as follows:
P (t) =
i=
�
n Ni, (t) GiPi
i=
�n Ni, (t) Gi
The Non-Uniform B-Splines can be expressed, as follows:
Ni, (t) =����
����
�
(Ki � t � Ki + )
< Ki, Ki+ < t)
Ni, k (t) = ( t−Ki ) Ni, k − (t)
Ki + k − −Xi + (Ki + k −t ) Ni + , k − (t)
Ki + k−Ki+
Where: Pi = Control point; Gi = Weight; Ki = Knot
vec-tor (Source: Oakham, 1998)
available by CNC controllers without the ‘complex curve interpolation’ capabilities As ‘NURBS’ have the ability to describe any free-form curve, or surface pre-cisely and efficiently, they became immensely popular with CAD Software-developers, because it allowed Design Engineers more freedom to manipulate 3-D data, than had been available utilising simple ‘line-segments’ and ‘primitives’ The logical extension for the application of ‘NURBS’ was followed-up by CAM
developers, as many systems were integrated into one
by the same company that developed the CAD system This CAD/CAM integration, enabled these companies
to supply post-processors that supported all the major digital controller manufacturers offering a ‘NURBS-capability’
In order to more fully comprehend just how
‘NURBS’ works, it is worth a slight digression to briefly discuss the techniques utilised to represent curved surfaces By way of illustration, the CAD equivalent
of the Draughtsman’s ‘Flexi-curve’ used to create
free-from curves, is termed a ‘spline’ The alternative ‘B-Splines’ differ from that of ‘Splines’ , instead, they
function somewhat like a ‘gravitational pull’ acting on them, pulling and distorting the curve, but in the con-trol point’s direction While, ‘NURBS’ are essentially a more controllable version of ‘B-Splines’ The resulting output from ‘NURBS’ is very efficient, as it describes the curve’s geometry with a fraction of the data output necessary for linear interpolation One disadvantage is that the calculation of ‘NURBS’ are much more com-plex, necessitating considerable amounts of comput-ing power to compute them The ‘Non-Uniform’ term
in ‘NURBS’ , refers to what is called its ‘knot vector’ ,
which indicates the portion of a curve that is affected
by an individual control point, but where it does not have to be ‘uniform’ By ‘dissecting’ the ‘NURBS’ term still further, the portion of it affected by the ‘Ratio-nal’ part of the formula, means that the weight of the control points’ pull (weighting) – which can be speci-fied This ‘weighting’ allows conic sections to be repre-sented, without having to slice them up to determine their geometric aspect
‘Splines’ , can simply be defined as follows: As a series of
equally spaced control points which the computer connects to create a smooth flowing curve’.
‘B-Splines’ , may be defined in a slightly differing manner to
that of ‘Splines’ , such that: Utilising the end and control points
that do not necessarily intersect the curve, thereby they can dis-tort the curve’ (Source: Oakham, 1998)
Trang 5When applying ‘NURBS’ to a complex part’s
curva-ture, it is important to recognise that it defines the entire
curve, not just a series of facets, enabling it to express
any curve geometry, utilising less data than for other
‘curve-fitting techniques’ Data transmission times are
significantly improved as a result, this is because one
does not have to transfer all of the curve data, just the:
control points; the order of the polynomial; the knot
vector; and its weighting; as defined by the CAD
sys-tem Once this has been achieved, the machine tool’s
CNC controller then decodes this information, in
or-der to control its servos While a single ‘NURBS’
ex-pression can describe a simple curve, complex curves
(e.g Fig 248c) are described by moving ‘weighting’ on
the control points, running the calculation, then
mov-ing the ‘weightmov-ing’ again and re-calculatmov-ing and so on,
in a recursive manner Thus, each point moved has
an influence on the others, but the more the control
points utilised, the less their influence becomes – in a
similar manner to the so-called: ‘law of diminishing
returns’ ‘NURBS’ is comparable to linear interpolation
in that the greater the accuracy the more the number
of points needed, although it requires less data in
to-tal – with a figure of 60% data-reduction, with an
as-sociated 40% improvement in time, has been claimed
Although the solution to virtually every curve-fitting
geometry can be undertaken by ‘NURBS’ , it cannot
partake in all ‘surface-describing miracles’ If the CAD
system outputs poor data, this will end up with a
simi-larly pitiable ‘curve-fitting routine’ , so as the old saying
goes, it’s the equivalent of: ‘Garbage in, garbage out!’ In
time, these ‘NURBS’ will have even more refinements
added to enhance the already powerful ‘curve-fitting
processes’
9.8.4 Sculptured Surface Machining –
Cutter Simulation
Once the free-flowing curves for the sculptured
sur-faces have been generated and the actual workpiece
is about to be machined, many companies embark on
a ‘cutter simulation routine’ prior to undertaking any
surface machining Many of the sophisticated surface
machining software packages, can provide several
variations of complex surface machining routines
Typical of such routines, is that shown for a particular
leading company’s product for the multi-axis
sequen-tial machining, depicted in Fig 249a This specific
‘sequential surface machining’ routine (Fig 249a), is
an interactive, graphic implementation of
‘drive-part-check’ surface machining, as defined in the:
Automati-cally Programmed Tool (APT) Standard This routine
is greatly enhanced when utilised in combination with
two other machining software packages, namely: ‘Se-quential machining’; and ‘Drive curve mill’ While an
enhanced function incorporated into the machining
package is termed ‘looping’ , which enables the user to
generate multiple passes on a surface, by defining the inner and outer tool paths, allowing the system to then generate the intermediate stock-clearance tool path steps
A typical modular-package might offer: surface con-touring; parameter line machining; rough-to-depth; and zig-zag tool paths; having any design modifica-tions, or changes being automatically handled through
what is termed ‘associativity’ , thereby significantly
re-ducing any attendant costly, but otherwise necessary prove-outs By utilising cutter simulation, parameters such as: feedrate; spindle speed; and part clearance; are instantly accessible and, being ‘modal’ they remain un-changed, unless the user modifies these values While
at any time during the development of the simulation,
a user can test a setting by generating a tool path with its accompanying high-resolution graphic display (Fig 249a) Surface machining will automatically simulate the cutter’s tool path, being displayed on a graphics
screen and generate textural output into a ‘cutter lo-cation source file’ (CLSF) After simulation, the user
may either choose to accept the tool path simulation and then save these parameters, or reject it and modify whatever parameters are necessary to correct for any attendant problems encountered It should be stated
that if a problem had occurred when actually cutting
the complex geometric component’s surface – such as
‘surface gouging’ 0, this would have probably scrapped
the otherwise expensive stock of workpiece material, that has also added significant value to it, by the time-consuming process of machining this part’s intrinsic geometric characteristics
So the application of cutter simulation is not only economic and fiscally important, it offers many other significant production benefits Therefore, with such enhanced cutter simulation, a range of important fea-tures can be addressed ‘off-line’ , such as:
• Supporting typical CAD ‘Surfaces and Solids’ pack-ages,
• Providing both 3- and 5-axis contouring motion – including tool orientations that may be offset from
0 ‘Surface gouging’ , is if a cutter unintentionally removes
mater-ial (gouges-out) a portion of surface
Trang 6Figure 249 By utilising a sophisticated cutter and part simulation technique, any potential and very costly
ma-chining mistakes can be avoided
.
Trang 7the surface ‘normals’ (i.e cutter tilt and lead/lag
angles), or being parallel to the surface (i.e here,
termed: ‘swarf-cutting’),
• Gouge-checking routines and step-over control
functions, during the non-cutting motions,
• Allowing complete control over the quality of the
machined surface texture and the attendant stock
to be removed,
• Control of intrinsic surface directional parameters,
having input of tool paths that are projected onto a
surface to be machined with its associated arbitrary
curves and points ‘sets’ ,
• Addressing a ‘full-check’ surface capability, having
specified part clearances – for fixtures and
clamp-ing, while stipulating both setting and gauging
points in the simulation routine,
• Allowing for the machining of arrays of multiple
surfaces, including: trimmed and extended
sur-faces; and for any multiple arbitrary holes,
• Enabling the user to selective in avoiding
particu-lar workpiece features, such as specific holes and
islands
By utilising sophisticated cutter simulation packages,
the work is undertaken ‘off-line’ by the user, thus
avoiding: costly prove-outs; potential scrappage of
parts; tool breakage; or under extreme circumstances,
even serious damage to the machine tool In fact, for
any sculptured machining operations (i.e typified in
Figs.: 245b and c, 246b, 249b), they need to have some
form of cutter path simulation undertaken and its
as-sociated simulated enhancements, otherwise
poten-tially costly production machining mistakes are the
likely outcome
9.9 Hard-Part Machining
Introduction
Since the development of ultra-hard cutting tool
ma-terials, such as: cubic boron nitride (CBN); and
poly-crystalline diamond (PCD) and their derivatives;
to-gether with ‘sub-micron’ cemented carbides coupled
with their ultra-hard multi-coatings; or diamond-like
coatings (DLC) to these carbide surfaces; it has enabled
the hard-part machining process to become
well-es-tablished and commonplace Prior to machining parts
in the hardened state, the time-consuming and
expen-sive processes were: rough-out, or finish-machine cer-tain features of the part, then heat-treat it (i.e hard-ening and tempering – as necessary), grinding critical surfaces and dimensions Today, by hardening the wrought stock material before it is machined, this will eliminate any potential distortions caused by thermal-influences on the part when it was heat-treated, this enables the part to be hard-part machined: roughed and finished, normally avoiding the subsequent grind-ing processes: surface and cylindrical – as necessary The question that could be asked concerning such a
machining application is: ‘What then defines hard-part
a machining process?’ Before answering this question
it is worth metaphorically ‘stepping-back’ somewhat,
to discuss what was considered as extremely ‘hard’1
around seventy, or so years ago At that time, high-speed steel (HSS) tooling was the norm, as cemented carbide had not yet been fully-established throughout the manufacturing industries of the day Here, HSS was the favoured tooling material, due to its superior retained edge hardness at elevated temperatures (i.e its ‘red hardness’) in combination with its improved toughness – over other tool materials at that time Typically an M2-HSS had a bulk hardness of between 58-64 HRC Returning to the question posed above, concerning what defines a hard-part, according to one major cutting tool company it is those materials with
a hardness of >42 to 68 HRC – being the equivalent
of machining components from M2-HSS Previously, only through grinding operations, could the hardened component be produced to ‘toleranced-size’ , while
‘Hardness’ , can be defined as: The measure of a material’s
re-sistance to deformation by surface indentation, or abrasion’
(Source: Callister, Jr, et al., 2003)Thus, a ‘hard material’ can be considered, when large forces are necessary to cause a
perma-nent indentation [machining] marks (Source: Schaffer, et al.,
1999)
‘High-speed steel’ (M2 – HSS), will have a typical 0.2% yield
stress @ room temperature of ≈3,000 N mm–1, while @ 600°C
it is ≈1,800 N mm–1, showing good high temperature prop-erties Some other relevant mechanical properties, include: transverse rupture stress @ 4.8 GPa; Fracture toughness (KIC)
@ 17 MN m–/; Izod impact strength (un-notched) @ 33.4 J (Source: Trent, 1984)
‘Hard-part machining’ , today is utilised widely as both a
roughing and finishing cutting process, which of late, has seen parts machined from a range of hard workpiece materi-als, having a bulk hardness of up to 68 HRC (Source: Huddle, 2002)
Trang 8having the necessary surface texture In the case of
hard-part turning – to be discussed in the next
sec-tion, hard-turned surface texture of better than 2.5 Ra,
is achievable, across a range of workpiece materials
According to Hanson (2005), hard materials can be
classified into two distinct groups:
1 Single-component materials – might typically
in-clude hardened tool steels, glasses such as Pyrex™
and borosilicate, ceramics including silicon carbide
(SiC) and aluminium oxide (AlO),
2 Composite materials – could be either
metal/ce-ramics such as metal-matrix composites (MMC’s)
and tungsten-carbide /cobalt, glass/ceramics such
as Zerodur™ and Cervit™, as well as
ceramic/ce-ramic composites such as silicon-carbide/silicon
NB These groupings only list a few of the hard
workpiece materials currently available today, many
more exist, but they can still be classified within
these groupings at present
The selection of the cutting tool composition and its
associated geometry when hard-part machining, is
in-fluenced by the severe demands made by these
hard-ened workpieces The problems encountered can range
from very rapid tool wear rates, cracks and chipping of
the cutting edge(s), to an unacceptable machined
sur-face condition Some multi-coated cemented carbides
and aluminium oxide ceramics (Fig 10) can cope with
some operations on hardened workpiece materials,
but it is more usual to utilise ultra-hard cutting tool
materials, or at the very least, specialised-coatings on
cemented carbide tooling
Some technical difficulties can be encountered
when hard-part machining, these might range from:
• Elevated temperatures in the cutting zone,
• Greater and more variable cutting force
magni-tudes,
• Intense pressure on a relatively small cross-section
of the chip – near the edge,
• Rapid cutting edge wear, or catastrophic
break-down,
• Workpiece stresses being released during the
ma-chining operation,
• Poor homogeneity in part material – creating
vibra-tional effects on tool’s edge,
• Insufficient stability and rigidity – created in the
‘machine-tool-workpiece’ loop stiffness
The extreme thermal and mechanical conditions, will dictate the manufacturing circumstances, concerning: tool material and its geometry; machining methods utilised; together with the cutting data selected So, the properties demanded from a cutting tool when one is about to embark on hard-part machining exercise, are that it has:
• Superior abrasive wear resistance,
• Chemical stability at the high temperatures en-countered,
• Ability to retain its cutting edge at high tempera-tures – ‘hot-hardness’ ,
• High compression and bending strength,
• Good cutting edge strength and toughness,
• Cutting edge inertness and resistance to diffusion wear
The hardness of a part, should not be confused with its ‘modulus’ , or the material’s toughness As it is the combination of elastic and plastic properties that de-termine a material’s resistance to yield, namely, its permanent deformation In the following sections, particular approaches to that of hard-part machining
by various production processes will be concisely re-viewed
9.9.1 Hard-Part Turning
For some years now the application of hard-part turn-ing has increased in popularity, as the time needed to finish these hardened components – with their hard-nesses ranging between 45 to ≈68 HRC – has signifi-cantly reduced The major time-saving is from the vir-tual elimination of finish-grinding operations, when
‘fine-turned’ surface texture of <2.5 Ra is now possible,
with matching dimensional tolerances Complex con-touring of a component’s profile using hard-part turn-ing operations is achievable (i.e see Fig 154 – top), which overcomes the previously expensive and time-consuming profiling operation of cylindrical grinding with custom-formed grinding wheels
However, successful hard-part turning is more than simply ‘chucking’ a hardened component (Fig 250a),
‘Yield, or permanent deformation’ , differs here, from that of
either: elastic deformation; or dislocation, slip, etc.; that may result during machining (Source: Hanson, 2005)
Trang 9then utilising for example, either a CBN, or ceramic
cutting insert to machine them A variety of important
factors require consideration if the turning operation
is to be successful, including the fact that higher
cut-ting forces involved and their affect on the machine
tool’s structural rigidity and stiffness (Fig 250d) These
hard-part cutting forces can be ≈200% higher than the
forces generated when similar operations are
under-taken on ‘softer parts’
Due to the fact that either the CBN, or ceramic tool
materials tend to be relatively brittle, cutting tool
com-panies will apply chamfers to the cutting edges – to
strengthen them A problem with a ‘supporting
cham-fer’ on the insert’s edges is that it reduces its shearing
capability, this causes the cutting forces to increase –
due to the so-called ‘ploughing-effect’ The application
of higher cutting forces here, makes both the insert’s
edge and the part move relative to one another –
re-sulting in chatter The onset of chatter causes surface
texture degradation – at best, or destroys the cutting
edge/tool and even the part itself – at worst Moreover,
the size and the shape of the workpiece when
hard-part turning is important, as if too long a
length-to-diameter ratio – without support, this will prove to
be exceedingly difficult to successfully machine With
some hard-part machining companies stating that L/D
ratios of >3:1 can be a problem – with respect to
chat-ter generation, resulting from the higher imposed
cut-ting forces now in operation
Workholding plays a crucial role in successful
hard-part turning operations, with a firm all-round
grip – from say a collet positioned and rigidly held
well inside machine’s headstock, is much preferred to
that of a three-jaw chuck – as this latter device may not
necessarily provide either the ‘clamping forces’ , nor
inherent rigidity The location of the turning insert’s
‘Three-jaw chucks – clamping forces’ (Fig 250 – bottom right),
due to the fact that the ‘conventional’ chuck’s self-centring
mechanism is a face-scroll – this being provided by a spiral
groove cut onto the face of a flat disk, then having the
equi-spaced jaws offset by the scroll’s pitch and numbered for
re-placement as either internal, or external jaws When the chuck
key turns the ‘scroll-pins’ which then rotates the scroll plate
and thus, they simultaneously radially move the jaws –
in-ward/outward So, depending upon the scroll plate’s rotation,
the torque supplied by the chuck key creates only one third of
the total force supplied at each individual chuck jaw Therefore,
the force may not be adequate to provide sufficient force to
grip and rigidly hold the part as it is hard-turned.
positional location, relative to the machine’s spindle bearings is significant The further the distance away from the front spindle bearing’s location relative to that of the cutting action, the greater any potential for the part to flex and chatter – acting like a ‘lever mecha-nism’ (i.e its force times distance) So, machine tools that are designed so that their collets are well-seated into the headstock and close to the front bearings and, when hard-part turning, the minimum of workpiece overhangs should be utilised
Turning centres that are designed from the out-set to cope with the demands of hard-part turning, are usually of greater size and weight, plus being ex-tremely rigid structures Even here, concerning a ma-chine’s rigidity, there are practical limits to the amount
of ‘static stiffness’ (i.e the ratio of applied force to that
of an associated displacement) that can be built into the turning centre The design objective is to increase
the machine tool’s ‘dynamic stiffness’ , which involves dampening the frequency of vibrations via specific
ap-plied technologies, such as ‘composite-filling’ the
ma-chine bases While a different approach to dampening vibration, involves the use of hydro-static linear ways, which ride on non-contact pressurised fluid bearing surfaces In a similar manner to that of ‘conventional’ linear-ball guide ways, they exhibit low friction and resist omni-directional loadings (i.e see Fig 250d – for
a performance comparison of these two linear bear-ing types) Moreover, hydro-static guide ways provide dampening as-and-when vibrations occur during
hard-part machining process Furthermore,
hydro-NB In Fig 250e on the other hand, the force exerted by this
type of self-centring mechanism, should prove to be able to cope with the demands of hard-part turning , particularly as the ‘soft-machinable jaws’ have been bored-out, to provide more circumferential location and support for the part.
‘Dynamic stiffness’ , can be defined as: The ratio of the applied
force to the displacement, occurring at the frequency of the ex-citing force’ (Source: Hardinge Inc., USA)
‘Composifilling’ – machine tool bases This dampening
te-chinque is traditionally achieved by employing such materials such as Granitan™ (i.e typically, being a crushed granite and epoxy resin), or Harcrete™ – this latter product is a polymer composite, having an 800% better damping capacity to that of the equivalent grey cast iron structure Although these com-posite-filled structures can be expensive, in order to alleviate some of this cost, ‘traditional’ castings have strategically-rein-forced composite-filled cavities (Source: Kennedy, 2004)
Trang 10Figure 250 Hard-part turning operations are replacing some grinding operations: assuming dimensional size and
machined surface texture are acceptable [Courtesy of Sandvik Coromant]
.