Electrical discharge machining

Abstract

A method for electrical discharge machining a workpiece includes the steps of: presenting an elongate electrode to the workpiece with a spark gap therebetween; flowing a dielectric fluid in the gap; eroding the workpiece by electrical discharge between the tip of the electrode and the workpiece; displacing the electrode in a direction aligned with the long axis of the electrode to maintain the gap as the electrode wears and the workpiece is eroded; and simultaneously with the displacement, producing vibratory movement of the electrode, the vibratory movement being aligned with the long axis of the electrode.

Claims

1. A method for electrical discharge machining a workpiece including the steps of: presenting an elongate electrode to the workpiece with a spark gap therebetween, flowing a dielectric fluid to the gap, eroding the workpiece by electrical discharge between the tip of the electrode and the workpiece, using a servo system to displace the electrode in a direction aligned with the long axis of the electrode to maintain the gap as the electrode wears and the workpiece is eroded, and simultaneously with the displacement, using the servo system to produce vibratory movement of the electrode, the vibratory movement being aligned with the long axis of the electrode; wherein the servo system has a frequency response of at least 1 kHz for displacing the electrode to maintain the gap.

2. A method according to claim 1, wherein the electrode has an axial bore, and the dielectric fluid flows through the bore and into the gap.

3. A method according to claim 2, wherein pulsating jets of the fluid are sent along the bore to the gap, the pulsating jets having a pulse frequency which is the same as the frequency of the vibratory movement of the electrode.

4. A method according to claim 1, wherein the vibratory movement has a frequency of up to 500 Hz.

5. A method according to claim 1, wherein the vibratory movement has a frequency of more than 50 Hz.

6. A method according to claim 1, wherein the dielectric source supplies the dielectric fluid to the gap at a pressure of from 70 to 100 bar.

7. A method according to claim 1, wherein a plurality of the electrodes are simultaneously presented to the workpiece.

8. An electrical discharge machining apparatus including: an elongate electrode, a servo system which displaces the electrode relative to, in use, a workpiece, the displacement being in a direction aligned with the long axis of the electrode, and maintaining a spark gap between the electrode and the workpiece as the electrode wears and the workpiece is eroded by the electrode, a dielectric source which produces a dielectric fluid flow in the gap, and the servo system being configured to produce, simultaneously with the displacement, vibratory movement of the electrode, the vibratory movement being aligned with the long axis of the electrode; wherein the servo system has a frequency response of at least 1 kHz for displacing the electrode to maintain the gap.

9. An apparatus according to claim 8, wherein the electrode has an axial bore, and the dielectric source flows the dielectric fluid into the gap along the bore.

10. An apparatus according to claim 9, wherein the dielectric source includes a reservoir for the dielectric fluid, and a vibration source is operationally connected to the reservoir, such that, on activation of the vibration source, pulsating jets of the fluid are sent from the reservoir, along the bore and to the gap simultaneously with the production of vibratory movement of the electrode.

11. An apparatus according to claim 10, wherein the electrode enters the reservoir through an aperture having a seal formation which grips the electrode to prevent leakage of dielectric fluid from the reservoir at the aperture, the seal formation being configured such that its grip on the electrode is activated by the pressure of the dielectric fluid in the reservoir.

12. An apparatus according to claim 11, wherein the vibration source, on activation, vibrates a piston that generates corresponding pressure pulses in the dielectric fluid of the reservoir, the axial bore of the electrode opening to the reservoir such that the pressure pulses produce the fluid jets.

13. An apparatus according to claim 12, wherein the electrode is connected to the piston such that the piston and electrode vibrate in unison.

14. An apparatus according to claim 8 wherein the servo system includes a linear induction motor.

15. An apparatus according to claim 8 including one or more linear actuators which provide the vibration source and which combine with a separate servomotor to provide the drive mechanism, the linear actuators being coupled to the electrode to produce the vibratory movement of the electrode.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) Embodiments of the invention will now be described by way of example with reference to the accompanying drawings in which:

(2) FIG. 1 schematically illustrates a typical HSEDM arrangement;

(3) FIG. 2A shows at top an unworn electrode and at bottom a worn, tapered electrode, and FIG. 2B shows a bank of differentially worn electrodes;

(4) FIG. 3 shows a section through a turbine blade with undesirable backwall erosion;

(5) FIGS. 4A, 4B and 4C show schematically stages of the electrical discharge machining process with regard to erosion;

(6) FIGS. 5A and 5B show schematically respectively front and side views of an HSEDM apparatus;

(7) FIG. 6 shows schematically a spark gap control system for the apparatus of FIGS. 5A and 5B;

(8) FIGS. 7A, 7B, 7C and 7D show respective schematic cross-sections of workpieces and tubular electrodes during HSEDM drilling, the cross-sections in FIGS. 7A and 7C being without vibratory movement being applied to the electrodes, and the cross-sections in FIGS. 7B and 7D being with vibratory movement being applied to the electrodes;

(9) FIGS. 8A and 8B show respective Design of Experiment interaction plots for drilling speed plotted against Servomotor Speed and Gap Voltage, in both cases with or without vibrations;

(10) FIG. 9 shows typical plots of drilling depth against time obtained with and without vibratory movement being applied to an electrode;

(11) FIGS. 10A and 10B show respective Design of Experiment interaction plots for cycle time plotted against peak current, and duty cycle , in both cases with or without vibrations;

(12) FIGS. 11A and 11B show schematically respectively front and side views of another HSEDM apparatus;

(13) FIGS. 12A and 12B shows schematically front views of respectively the tool holder and the vibration plate of the apparatus of FIGS. 11A and 11B; and

(14) FIG. 13 shows schematically a close-up front view of the lower end of the electrode cartridge and the pressure cap of the apparatus of FIGS. 11A and 11B.

DETAILED DESCRIPTION

(15) Removal of debris during HSEDM is important in order to achieve appropriate machining speeds and consistency. Debris is removed by the dielectric flushing out debris in the time between the sparks. This process is shown schematically in FIGS. 4A-4C. A gas bubble, illustrated in FIG. 4A is generated by high temperatures as a result of spark discharge. This gas bubble then implodes as illustrated in FIG. 4B. The time between sparks, known as the off time, should be sufficiently long to allow dielectric fluid flushing to remove the debris. The off time determines the overall drilling cycle time for electric discharge machining. Lack of adequate debris removal therefore results in increased cycle times. Furthermore, poor debris removal increases electrode wear in the form of tapering. In FIG. 4A, as can be seen, an electrode 30 has a spark gap 31 to a workpiece surface 32. During electrical discharge a spark-induced plasma channel 33 creates debris 34 from the workpiece surface as well as releasing some electrode debris 35. Due to the heat of the spark, a bubble 36 is created within the high pressure dielectric fluid 37.

(16) As illustrated in FIG. 4B, during the off time the bubble 36 implodes, allowing the debris 34, 35 to enter into the dielectric fluid flow 37. During this off time, in addition to the debris, molten metal is partially removed from a spark generated crater 38. Any molten metal that is not removed solidifies and becomes what is known as a recast layer. Such recast layers can have detrimental effects in terms of surface modifications of the material from which the workpiece is formed.

(17) FIG. 4C illustrates the association between the workpiece 32 and the electrode 30 just prior to further electrical discharge machining. The debris 34, 35 is held in suspension within the dielectric 37 and is therefore flushed away under the relatively high pressure provided by HSEDM. Progressively craters 38 are formed across the surface of the workpiece in order to erode and drill as required.

(18) However, interruptions caused by inadequate removal of debris and consequent short circuiting can limit HSEDM effectiveness.

(19) FIGS. 5A and 5B show schematically respectively front and side views of an HSEDM apparatus. The tool holder 106 for the electrodes 108 has been omitted from the front view (a) so that other components of the apparatus can be visualised.

(20) A linear induction servomotor 101 is coupled to a head carriage 103 by means of a motor rod 102. The head carriage is in turn mounted to a linear rail 115 (although in other embodiments, more than one linear rail may be used, or different types of linear guides can be employed, including linear air bearings). When the linear servomotor is activated, linear motion is thereby imposed on the head carriage.

(21) An electrical connector 118 and a pneumatic chuck 104 are provided on the head carriage 103. The connector 118 is connected to an electrical power supply (omitted in FIGS. 2A and 2B) and transmits power across a mating connector 117 to a row of elongate tubular electrodes 108 mounted to a tool holder 106. The pneumatic chuck 104 holds the tool holder to the head carriage under an electric signal command.

(22) The tool holder 106 has an electrode cartridge 105. A noseguide assembly 111 carrying a noseguide 110 is coupled to a static part 114 of the apparatus by means of a chuck 112. The electrodes 108 and high-pressure dielectric fluid are contained within the electrode cartridge. The electrodes pass under clamps 107, 109 and out through the noseguide. The clamp 107 is mounted beneath the electrode cartridge and consists of a bar, with a rubber pad, that is pneumatically applied to nip the electrodes during the drilling cycle. The clamp 109 is mounted on the noseguide assembly and consists of a bar, with rubber pad, that is pneumatically applied to nip the electrodes during the electrode reefed cycle.

(23) Compressed air is supplied to clamps 107, 109 through respective connectors 116, 113. High-pressure dielectric fluid is fed to the electrode cartridge 105 and the noseguide 110 through respective connectors 119 and 120. Thus connectors 116, 119 are on the head carriage 103, while connectors 113, 120 are on the static part 114 of the apparatus. The tubular electrodes are bathed in dielectric fluid in a reservoir contained within the electrode cartridge 105 so that the dielectric can flow both through and outside the electrodes. A high-pressure (e.g. 70-100 bars) pump (omitted in FIGS. 2A and 2B) supplies dielectric fluid (e.g. deionised water) to the reservoir within the electrode cartridge 105 and thence to the machining spark gap between the electrodes and workpiece (e.g. blade) being drilled.

(24) The linear induction servomotor 101 is capable of producing acceleration of up to 50 g in a mass of up to 10 Kg and can provide positional accuracy as small as 1 micron. In contrast to conventional rotary motors, linear induction motors convert electrical energy directly into linear movement, producing a straight-line force along the length of the motor. The linear servomotor is thus able simultaneously to displace the electrodes 108 in a direction aligned with their long axes to maintain the spark gap as the electrode wears and the workpiece is eroded, and to produce vibratory movement of the electrodes, the vibratory movement being aligned with the long axes of the electrodes.

(25) A control system for the apparatus of FIGS. 5A and 5B is shown schematically in FIG. 6. The linear servomotor 101 is controlled by a drive 121, i.e. an electronic power amplifier that delivers the power required to operate the motor in response to low-level control signals supplied by a controller 122 which sets the motor motion parameters. A computer 123 is used to input the desired motion parameters including characteristics of a vibration sin wave 124 in terms of period (P) and amplitude (A), a displacement speed 125 (on which the sinusoidal vibration is superimposed) and a servo reference voltage 126. The small diameter tubular electrodes 108 and the workpiece 127 are connected to an electrical power supply 128, i.e. the EDM generator, which delivers periodic pulses of energy 129 to the spark gap 130.

(26) As machining occurs (i.e. high frequency sparks remove material from both electrodes 108 and workpiece 127), the linear servomotor 101 displaces the tool holder 106 to which the electrodes are mounted at the displacement speed 125 to keep constant the spark gap 130 between electrodes and workpiece. A meter 131 continuously measures the mean gap voltage, which is compared with the servo reference voltage 126 by a numerical control (NC) unit 132. The tool holder 106 is moved downward if the mean gap voltage is higher than the reference voltage and upward when the mean gap voltage is lower than the reference voltage. The linear servomotor has a frequency response in excess of 1000 Hz, i.e. due to the dynamic characteristics of the linear servomotor and its control system, the servomotor can respond to changes in the spark gap within 0.001 sec.

(27) Key process variables (such as frequency and amplitude of vibration, speed of displacement and EDM generator parameters) can be varied during the drilling process according to the depth of holes being drilled. This variation may be controlled by a program executed by the computer 123, together with the NC unit 132. An alternative approach that can be used to change key process variables during the drilling process is to use sensors to measure spark gap conditions in a closed-loop system e.g. combined with artificial intelligence techniques such as neural network or fuzzy logics. Such an approach could facilitate dynamic optimisation of the process variables.

(28) The linear servomotor 101 can induce vibrations in the electrodes of up to 200 Hz with peak to peak amplitudes of up to 100 microns, and a resolution smaller than 0.1 microns. These vibrations induce corresponding vibrations in the dielectric fluid which can improve removal of debris from the spark gap. Furthermore, the servomotor positional accuracy of 1 micron facilitates accurate control of the spark. In addition, the high frequency vibration creates gaps between the electrode surfaces and the walls of the drilled hole which minimise the occurrence of arcing.

(29) More specifically, cooling holes in turbine blades can have diameters as small as 0.38 mm and length-to-diameter-ratios of up to 80:1. The diameter of an electrode employed to drill 0.38 mm holes is usually 0.33 mm. If there is a requirement to drill a hole with diameter of 0.38 mm and length of 30 mm, the distance from the tip of the electrode to the noseguide will be 30 mm at hole breakthrough. Such a slender electrode can tend to tilt and touch the sidewall of the hole during the drilling process, provoking short-circuits and process interruption. Another problem associated with the drilling of deep holes with small diameters is the removal of debris from the spark gap. This can be difficult even when high-pressure dielectric fluid (of up to 100 bars) is employed. The accumulation of debris can provoke arcing and increase cycle times. These problems become more critical when multi-electrode drilling operations are carried out, as the apparatus has just one servomotor to control a plurality of spark gaps.

(30) FIGS. 7A-7D show respective schematic cross-sections of workpieces 205 and tubular electrodes 202 during HSEDM drilling. The workpieces are drilled using multi-electrode tools 203 and high-pressure (70 to 100 bars) dielectric fluid 201 supplied to the bore of the electrodes from the electrode cartridge (omitted). High frequency sparks 207, in the order of 100 kHz, promote material removal both from electrodes and especially from the workpieces.

(31) FIGS. 7A is an example of the process without vibratory movement being applied to the electrodes 202. The resultant debris 206 from the process tends to accumulate in the spark gap and in the lower end of the holes as the dielectric pressure is insufficient to flush the debris out in the exiting flow 204. The accumulation of debris can result in arcing, which damages the workpiece and increases cycle times. However, when axially aligned vibrations 210 are applied to the electrodes, as shown in FIG. 7B, the oscillating electrodes and holes being drilled act like reciprocating pumps in which the electrodes are the pistons and holes are the cylinders. The vibratory movement of the electrodes at a frequency of up to 500 Hz and peak to peak amplitude of up to 100 microns pumps the dielectric fluid 212 and debris out of the spark gap and the holes. Thus the pumping action improves flushing 211, and can be increased further when the vibrations are combined with pulsating jets 209 of dielectric fluid sent to the spark gap through the axial bore of the electrode, the jet pulsations along the bore of the electrode having the same frequency as the electrode vibratory movement. An HSEDM apparatus which produces such synchronised pulsating jets is described below in relation to FIGS. 10A-12B.

(32) FIG. 7C is another example of the process without vibratory movement being applied to the electrodes 202. The tubular electrodes 202 tend to form cores 208 of workpiece material that remain uncut in the centres of the holes being drilled. Such a core may tilt and touch 213 the internal wall of the electrode, provoking short-circuits. In addition, the slender electrodes can move sideways 214 and touch the sidewall of the holes being drilled, again provoking short-circuits. Such short-circuits cause servo retraction and consequently lead to longer machining times or to process interruptions. Moreover, the short-circuits can damage the workpiece. However, when axially aligned vibrations 210 are applied to the electrodes, as shown in FIG. 7D, small gaps 215, 216 can be more easily maintained between the cores and electrode bore, and between the electrode outer surface and the hole sidewall. These gaps result from damage caused by the vibrations to the roughness asperities on the surfaces of the electrodes and the workpiece, the asperities being the channels for electrical current flow between the electrodes and the workpiece.

(33) Thus the vibration of the electrodes improves flushing and reduces short-circuits, and, as a result, the servomotor can move downwards at faster speeds.

(34) Drilling trials were carried out using a multi-electrode tool with capacity to hold 18 tubular electrodes. The diameter of the electrodes was 0.31 mm and these were used to cut (in a single pass) 18 holes with a length of 4 mm. A Design of Experiments fractional factorial approach was used to perform the experiments and analyse the results. The factors used in the design are shown in the table below. The factor Vibration refers to the vibration produced in the electrode. The lower level (1) of vibrations means that tests were carried out without vibrations, whereas the higher level (+1) means that the tests were carried out with vibrations. Servomotor Speed refers to the velocity with which the servomotor advances to keep the spark gap constant. Gap Voltage refers to the reference voltage, which is proportional to the spark gap size, i.e. a Gap Voltage at the higher level means that the size of the spark gap is higher than at the lower level.

(35) TABLE-US-00001 LEVEL FACTOR I II Vibration 1 +1 Servomotor Speed 1 +1 Gap Voltage 1 +1

(36) FIGS. 8A and 8B show interaction plots of the experimental parameters, i.e. drilling speed plotted again (a) Servomotor Speed and (b) Gap Voltage for the different vibration levels. When vibrations are produced in the electrodes (dotted lines), smaller cycle times are achieved with the servomotor speed at the lower level. In contrast, the higher servo speed decreased the cycle time when the vibrations were turned off. As to gap voltage, when trials were carried out without vibrations, changing the value of the gap voltage did not affect cycle times. In contrast, gap voltage had to be set at the higher level in order to reduce cycle times with electrode vibrations. When vibrations are applied to the electrodes, a higher spark gap size helps the electrode oscillations to remove debris from the spark gap.

(37) FIG. 9 shows typical plots of drilling depth against time obtained with and without vibrations. Reductions in cycle times of nearly 50% can be achieved if vibrations are applied to the electrodes.

(38) Further drilling trials were carried out to produce additional interaction plots. FIG. 10A shows plots of cycle time (i.e. time to drill a given hole depth) against peak current (+1=high peak current, 1=low peak current) for tests carried out with (+1) or without (1) vibrations. HSEDM drilling assisted by vibrations is faster when compared with drilling that is not assisted by vibrations. However, the impact of vibrations is more significant when higher levels of peak current are employed. FIG. 10B shows plots of cycle time against duty cycle (+1=high duty cycle, 1=low duty cycle) for tests carried out with (+1) or without (1) vibrations, duty cycle being the ratio of the sparking time to the length of time required for one complete sparking cycle (i.e. the time for sparking to take place and then for implosion of the gas bubble and removal of debris before the next sparking event). The impact of vibration becomes very significant for high levels of duty cycle, but is negligible at low levels of duty cycle.

(39) The HSEDM apparatus described with reference to FIGS. 5A and 5B has a linear induction servomotor which both displaces the electrodes to maintain the spark gap and produces the vibratory movement of the electrodes. However, other configurations are possible, e.g. in which the displacement and vibration functions are driven by different parts of the apparatus. For example, FIGS. 11A and 11B show schematically respectively front and side views of an HSEDM apparatus in which a lead-screw servomotor drives the electrode displacement and separate piezo-electric or pneumatic linear actuators drive the electrode vibration. The servomotor 301 has a coupling 302 to a lead-screw 303 that turns the servo rotation into linear motion of a head carriage 304.

(40) An electrical connector 321 and a pneumatic chuck 305 are provided on the head carriage 304. The electrical connector is connected to an electrical power supply (omitted in FIGS. 11A and 11B) and transmits power across a mating connector 320 to tubular electrodes 311 mounted to a tool holder 308. The pneumatic chuck holds the tool holder to the head carriage under an electric signal command.

(41) The tool holder 308 has an electrode cartridge 307. A noseguide assembly 314 carrying a static noseguide 313 is coupled to a static part 317 of the apparatus by means of a chuck 315. The electrodes 311 and high-pressure dielectric fluid are contained within the electrode cartridge. The electrodes pass under clamps 310, 312 and out through the noseguide. The clamp 310 is mounted beneath the electrode cartridge and consists of a bar, with rubber pad, that is pneumatically applied to nip the electrodes during the drilling cycle. The clamp 312 is mounted on the noseguide assembly and consists of a bar, with rubber pad, that is pneumatically applied to nip the electrodes during the electrode reefed cycle.

(42) Compressed air is supplied to clamps 310, 312 through connectors 319, 316. High-pressure dielectric fluid is fed to the electrode cartridge 307 and the noseguide 313 through connectors omitted in FIGS. 11A and 11B.

(43) Two linear actuators 322 are assembled in a vibration plate 306 mounted to the tool holder 308 (in other embodiments only one linear actuator, or more than two linear actuators can be employed). FIGS. 12A and 12B show schematically front views of respectively the tool holder and the vibration plate. The vibration plate has flexure joints 323. The electrode cartridge 307 is attached to a static section 324 of the vibration plate, while a pressure cap 309 and the clamp 310 are attached to a moving section 325 of the vibration plate. The pressure cap contains a rubber seal 326 and a plastic stopper 327. A piston 328 is mounted at the lower end of the electrode cartridge above the seal and the stopper, with a seal ring 329 fluidly sealing the piston to the static section of the vibration plate. The piston, the seal and the stopper contain matching rows of holes through which the electrodes 311 are passed.

(44) FIG. 13 shows schematically a close-up front view of the lower end of the electrode cartridge 307 and the pressure cap 309. Just before the start of the drilling process the electrodes 311 are clamped by the clamp 310 and dielectric fluid 330 at a pressure ranging from 70 to 100 bars is supplied to a fluid reservoir defined within the electrode cartridge. The high-pressure fluid in the reservoir provokes a movement of the piston 328, which squeezes the seal 326 against the stopper 327. As a result, the holes in the seal reduce in size, gripping the electrodes and sealing the electrode cartridge. A flow 331 of dielectric is supplied to the spark gaps through the bores of the electrodes and through flushing holes (omitted from FIGS. 11A to 13) in the noseguide.

(45) The linear actuators 322 produce oscillations 332 in the moving section 325 of the vibration plate 306, where the pressure cap 309 and clamp 310 are mounted. The movement of the vibration plate induces vibrations (with frequencies of up to 500 Hz and peak-to peak amplitude up to 100 microns) in the electrodes 311. Moreover, the oscillations of the pressure cap 309 induce pressure pulses in the dielectric fluid 330 contained in the reservoir of the electrode cartridge 307. These pressure pulses produce high frequency pulsating jets 333 of dielectric fluid that are supplied to the spark gaps via the bores of the electrodes. Advantageously, the combined effects of the pumping action provided by electrode oscillations and the high frequency pulses of the dielectric jets greatly improve the flushing of debris from the spark gaps. Furthermore, the use of separate linear actuators to drive the electrode vibration facilitates the retrofitting of such actuators onto existing HSEDM apparatuses.

(46) A disadvantage of lead-screw servomotors is their typically low frequency response of about 30 Hz, which is not fast enough to respond to rapid changes to the spark gap. It is possible to increase the frequency response of lead-screw servos by increasing the pitch and/or rotational speed. However, this affects the positional resolution of the electrodes. Moreover, too high rotational speeds can cause the screw to whip or hit a resonant frequency causing uncontrolled vibrations and wild instability. However, by retrofitting a lead-screw servomotor with one or more linear actuators to drive electrode vibrations, the low frequency response can be side-stepped such that the retrofitted apparatus can be made to provide high frequency vibratory movement of the electrodes simultaneously with their displacement to maintain the spark gap. Also the dielectric fluid can be made to issue from the bores of the electrodes into the spark gaps as pulsed jets synchronised with the electrode vibration to further enhance debris removal.

(47) However, if screw resonance and whip can be avoided, by using e.g. appropriate software it is nonetheless possible to control a lead-screw servomotor to produce electrode vibrations superimposed on the linear motion of the electrodes without the use of additional linear actuators. Although the response time of such an arrangement will be relatively low, some benefits can be obtained, such as the ability to produce pulsating jets of dielectric fluid and improved removal of debris through a dielectric fluid pumping action.

(48) The apparatus of FIGS. 11A to 13 can be controlled by the control system shown in FIG. 6.

(49) In an operational variant, the task of keeping constant the size of the spark gap can be shared between the linear actuators 322 and the lead-screw servomotor 301. More specifically, the linear actuators provide high positional precision and a high frequency response, but only allow a maximum stroke about 200 microns. Thus, as well as vibrating the electrodes 311, the actuators can be used to displace the electrodes to keep the spark gap constant up to the stroke limit of the actuators, whereupon the lead-screw servomotor re-feeds the electrodes. Indeed, a variant apparatus can have one or more linear actuators to provide electrode vibration and displacement, and a linear induction servomotor instead of a lead-screw servomotor to re-feed the electrodes.

(50) While the invention has been described in conjunction with the exemplary embodiments described above, many equivalent modifications and variations will be apparent to those skilled in the art when given this disclosure. For example, an apparatus can have just one electrode. Another type of electrode tool holder can produce electrode rotation during the drilling process. Accordingly, the exemplary embodiments of the invention set forth above are considered to be illustrative and not limiting. Various changes to the described embodiments may be made without departing from the spirit and scope of the invention.

(51) All references referred to above are hereby incorporated by reference.