CN1711166A - Ring rolling simulation substrates - Google Patents

Abstract

A simulation press is provided comprising a fixed main body; a carriage associated with the main body for movement relative to the main body; a first plate coupled to the fixed main body and being adapted to engage a workpiece; and a second plate coupled to the carriage for movement with the carriage. The second plate is also adapted to engage the workpiece. One or more motor apparatus are coupled to the fixed main body and the carriage for effecting movement of the carriage relative to the main body. A drive controller is coupled to the motor apparatus for controlling the operation of the motor apparatus in response to feedback from one or more feedback sensors so as to cause the second plate to move relative to the first plate such that the first and second plates engage the workpiece and simulate a ring rolling operation on the workpiece.

Description

Ring rolling simulation substrates

Background technology

Known in the artly use a forcing press to simulate low strain activation act, for example operation of in the International Application No. WO of announcing 99/56685, being discussed.This forcing press comprise static first flat board with first tooth, one have bidentate second flat board, one be equipped with operation that the movable pressure head of second flat board, rotating servo motor that is connected to pressure head and one is used to control the rotating servo motor make second flat board towards first treadmill exercise in case a workpiece by the controller of the tooth of first and second flat boards engagement.Forcing press does not comprise the pick off of any kind of that is used for providing the information of for example relevant with pressure head, flat board or motor position of feedback information or power to controller.Forcing press also useless is simulated the looping mill rolling operation.

Therefore, exist the needs of the forcing press of operating for the simulation looping mill rolling.

Summary of the invention

A kind of forcing press is provided, it comprise that a fixed main body, one link to each other with fuselage and with respect to the balladeur train of fuselage motion, one be connected to fixed main body and be suitable for meshing a workpiece first dull and stereotyped and one be connected to second flat board that moves with balladeur train on the balladeur train.Second flat board also is suitable for meshing this workpiece.One or more electronic devices are connected on fixed main body and the balladeur train, are used to realize the motion of balladeur train with respect to fuselage.A driving governor is connected to electronic device, the feedback that is used to respond from one or more feedback transducers is controlled electronic device, so that second flat board with respect to first treadmill exercise, makes the first and second dull and stereotyped engagement workpiece and the looping mill rolling of simulation on workpiece operate.

Description of drawings

Fig. 1 is one of the present invention side view that is used for being replicated on the Web materials by the device of the performed work of a pair of looping mill rolling roller;

Fig. 2 A is the perspective view that illustrates the reciprocating balladeur train that one second flat board is housed, and wherein balladeur train is positioned at the cavity that is limited by the top and the bottom branch that installs fuselage;

Fig. 2 B is the perspective view of device back;

Fig. 2 C is the perspective side elevation view that is installed to the balladeur train of underbelly, and has wherein removed back and linear servomotor;

Fig. 2 D is the perspective view of balladeur train main body;

Fig. 2 E is the rearview of balladeur train main body;

Fig. 2 F is the front view of balladeur train main body;

Fig. 2 G is the side view of balladeur train main body;

Fig. 2 H is the perspective view of balladeur train and motor second member;

Fig. 2 I is the perspective view of the part of balladeur train and motor second member;

Fig. 3 A is balladeur train and the perspective view that is installed to the part of second flat board on the balladeur train;

Fig. 3 B is the side perspective view of the part of the part of balladeur train and underbelly;

Fig. 4 is the perspective view of U type first member of one of servo linear motor in Fig. 1 device;

Fig. 5 is subjected to the perspective view of immobilized first flat board of support plate, hot plate, coldplate and device shown in Figure 1 for outside supporting member, L type position regulation member, spring load plate, the spring of device fuselage;

Fig. 6 and 7 is for the outside supporting member of device fuselage, L type position regulation member, spring load plate, spring are subjected to the perspective view of support plate, hot plate and coldplate, and immobilized first flat board that wherein do not draw;

Fig. 6 A is that L type position regulation member, spring are subjected to the perspective view of support plate, hot plate and coldplate each several part, and immobilized first flat board that wherein do not draw;

Fig. 8 is the sketch map of first and second teeth engagement on looping mill rolling operating periods first and second roller;

Fig. 8 A is the diagrammatic side view of looping mill rolling roller;

Fig. 9 is first tooth and the bidentate sketch map on first and second flat boards with the engagement of Web materials;

Figure 10 is the sketch map of various sizes shown in Figure 9;

Figure 11 illustrates the driver controller of the motor that is used to drive Fig. 1 device and the block diagram of amplifier;

Figure 11 A is the block diagram that illustrates heater controller of the present invention;

Figure 12 A is first, second dull and stereotyped top view of device shown in Figure 1;

Figure 12 B is first, second dull and stereotyped side view of device shown in Figure 1;

Figure 13 A is the perspective view of a Web materials sample clamping device;

Figure 13 B is the perspective view that is installed on first and second receiving members, is fixedly installed to down the sample clamping device shown in Figure 13 A on the main part again;

Figure 14 A is the position of embodiment and the curve chart of time;

Figure 14 B is the speed of embodiment and the curve chart of time;

Figure 14 C is the acceleration of embodiment and the curve chart of time; With

Figure 15 is by the side view of a calibration plate of the first and second dull and stereotyped engagements of Fig. 1 device.

The specific embodiment

Illustrate the device 10 according to the present invention structure among Fig. 1, device 10 is used for duplicating the work of being carried out by a pair of looping mill rolling roller on the Web materials during by two determined roll gaps of roller at Web materials, and wherein typically two rollers have engaging tooth.Device 10 comprises first flat board 100 with first tooth 102 of common immobilized a, substantially flat, referring to Fig. 1,5,12A and 12B, and one can be straight-line, second flat board 200 with second tooth 202 of substantially flat, referring to Fig. 1,2A, 12A and 12B.Looping mill rolling technology comprises that the stretch Web materials WM such as the laminated material of thin film, the fibre web that comprises non-woven fibre and thin film, nonwoven web or similar material or the vivid outward appearance that changes this type of Web materials for purpose attractive in appearance of rotation first and second rollers is known in the art, wherein the first roller R ₁On the first tooth T _AWith the second roller R ₂On the second tooth T _BEngagement is referring to Fig. 8,8A and 9.The first and second tooth T _AAnd T _BCan be circle distribution or be arranged essentially parallel to roller R ₁And R ₂Axis.Device 10 of the present invention makes engineer/technical staff can be fast and test Web materials more cheaply, determine of the influence of looping mill rolling technology, and need not actually the first and second looping mill rolling rollers to be provided and Web materials is passed by the determined roll gap of first and second rollers a kind of particular fiber net materials.

Device 10 comprises a fixed main body 20, and it comprises a bottom 22 and a top 24 that is fixedly attached to bottom 22, referring to Fig. 1,2A and 2B.Device 10 also comprises the balladeur train 30 of a linear reciprocating motion, it comprises the main part 34 of cavity 26 inside that a bottom and a top 22 and 24 that is positioned at by fuselage 20 is limited, referring to Fig. 2 A, Fig. 2 C (in Fig. 2 C, get on divided by illustrating balladeur train 30 from bottom 22 in top 24) and Fig. 2 D-2G (among Fig. 2 D-2G, only illustrating main part 34).

Balladeur train 30 moves along the first and second slide rail 28a and 28b by means of the conventional linear bearing 32 that is installed on a pair of wing 34c that forms balladeur train main part 34 parts, referring to Fig. 2 A, 2C, 2D and 3A and 3B.The reciprocating motion of balladeur train 30 realizes by eight independent servo linear motors 40, all motor cooperations, wherein motor 40 with name of product " LEC-S-4P " available from Rockwell International Corporation.Each servomotor 40 comprises roughly first member 42 of U type, it comprises that has a metal U type element 42a who is installed in the inner a plurality of Magnet 42b that also extend basically of its U die cavity body on its whole length, referring to Fig. 2 A and 4, and active second member 43, it comprises a metal profile, it has a plurality of coils that twine around support plate and extend along its length, referring to Fig. 2 H and 2I.Four first members 42 are fixedly attached on the inner surface 24a on fuselage 20 tops 24, referring to Fig. 2 A, four the first member (not shown) that will be left under balladeur train 30 simultaneously are fixedly attached to the upper surface (not shown) of fuselage 20 bottoms 22.Four second members 43 are fixedly attached to the top 34a of the mainboard 34d of balladeur train main part 34, and four the second member (not shown) that will be left simultaneously are fixedly attached to the bottom 34b of the mainboard 34d of balladeur train main part 34.Four polymeric support plates 44 are fixed to the top 34a of mainboard 34d,, and four polymeric support plate (not shown) are installed to the bottom 34b of mainboard 34d referring to Fig. 2 A.Be installed in series with polymer sheet 44 being fixedly attached to the upper and lower 34a of mainboard 34d of balladeur train main part 34 and motor second member 43 of 34b.When actuating motor 40, each second member 43 makes balladeur train 30 with respect to fixed main body 20 rectilinear motions with respect to first member, 42 motions of its correspondence.In the embodiment that illustrates, motor 40 can be to reach+speed of/-3 meter per seconds and to reach+/-196 meter per seconds ²Acceleration move balladeur train 30; And make balladeur train 30 produce one and equal approximately+/-20,000 newton's loading force promptly leans the Web materials sample and the first dull and stereotyped 100 added power by second flat board 200.

Provide wherein a kind of and be used to control the operation of motor 40 available from the driving governor 300 of Delta TauCorporation, referring to Figure 11 with product code name " Turbo PMAC 2-PC ".Driving governor 300 produces one by the driving signal of the first and second amplifier 360a and 360b reception.Amplifier 360a and 360b with product code name " Quad Amp. " available from Delta TauCorporation.Each amplifier 360a, 360b are connected on four servomotors 40.The driving signal that response slave controller 300 receives, each amplifier 360a, 360b produce four motor 40 that essentially identical drive control signal is given its correspondence.

Balladeur train 30 with respect to the position of fixed main body 20 by a linear encoder playback head 410 that is connected to the top 24 of fixed main body 20, referring to Fig. 2 A, a corresponding sensor strip 412 with balladeur train 30 motions reads positional value on balladeur train 30 from being installed to for it.

Balladeur train 30 also comprises a coldplate 36 and a hot plate 38, referring to Fig. 2 A and 3A.With second plate, 200 usefulness for example the bolt (not shown) directly be installed on the hot plate 38.Plate 38 heats by a pair of resistance heater 38a, referring to Fig. 2 A and 3A.The temperature of plate 38 detects by a thermocouple 38b, and it produces temperature signal and gives a heater controller 320, referring to Fig. 2 A and 11A.The startup of heater controller 320 controlling resistance heater 38a is to remain on required temperature with plate 38.Coldplate 36 is by cooling off air flow through plate 36.Air is provided for plate 36 by a pair of air line, and air line is connected on the plate 36 by accessory 36a, referring to Fig. 3 A.Coldplate 36 prevents that the energy that is form of heat from transferring to balladeur train main part 34 from hot plate 38.

Provide pair of spring loaded backstop 50 to limit balladeur train 30 and on direction, advanced, referring to Fig. 1 away from first flat board 100.

Refer again to Fig. 1, the bottom 22 of fuselage 20 comprises an outer support member 22a.In illustrated embodiment, what pass supporting member 22a extension is four screw (not shown), and each screw has the screw rod 60 of a correspondence, referring to Fig. 6 and 7.Be fixedly attached on the outer support member 22a is pair of L type position regulation member 22b and 22c.Spring load plate 70 is placed between member 22b and the 22c and near screw rod 60.A spring also is placed between member 22b and the 22c by carried base board 72, and by means of the bracketed part 22d of a plurality of compression spring 74 bias voltage limiting member 22b and 22c, referring to Fig. 5-7 and 6A.A pair of locating rod 72a stretches and is passed in the linear bearing 70a of installing the spring load plate 70 and the linear bearing (not shown) of installing from flat board 72 in supporting member 22a, referring to Fig. 7.Spring 74 is installed on the respective rods that spring is subjected to stretch out the support plate 72.In spring load plate 70, be provided with the hole, be used to lay bar around its mounting spring 74.The position of spring load plate 70 can change by the position of adjusting screw(rod) 60, leans the bias force that plate 72 is applied with regulating spring 74.In illustrated embodiment, be provided with about ten two (12) individual springs 74 and apply about 7000 pounds (31, power 000N) leans spring and is subjected to support plate 72.

A coldplate 80 is fixedly attached to spring by means of the bolt (not shown) is subjected on the support plate 72, referring to Fig. 5-7 and 6A.A hot plate 82 is fixedly installed on the coldplate 80 by means of the precompressed screw.Between coldplate 80 and hot plate 82 is a plurality of piezoelectricity force cells 84, be four in illustrated embodiment, referring to Fig. 6 A and 7, its together be used for hot plate 82 be connected to precompressed screw on the coldplate 80 with product code name " Load Washer and PreloadScrew, model 9031 " available from Kistler Instrument Corporation.The signal that force cell 84 produces is provided for a summing unit 84a, referring to Figure 11, its with product code name " 4-GangConnector, model 107B " available from Kistler Corporation.Summer 84a is used for the signal that four force cells 84 produce being added up and producing a concentration power signal to an amplifier 84b.Amplifier 84b with product code name " Dual Charge Amplifier, model 5010B " available from KistlerCorporation.The force signal that amplifier 84b produces an amplification gives controller 300 and representative because Web materials sample S of first and second dull and stereotyped 100 and 200 engagements is applied directly to combining ability on the force cell 84 by coldplate 80.Hot plate 82 is connected to precompressed screw on dull and stereotyped 80 runs through centre bore on the force cell 84.

For example with the bolt (not shown) with shown in Figure 5 but Fig. 6,7 and 6A in first flat board 100 that do not show directly be installed on the hot plate 82.Plate 82 heats by means of a pair of resistance heater 82a, referring to Fig. 5,6 and 6A.The temperature of plate 82 detects by thermocouple 82b, and it produces temperature signal and gives controller 320, referring to Fig. 6,6A and 11A.The startup of heater controller 320 controlling resistance heater 82a is to remain on plate 80 temperature required.Coldplate 80 cools off by the air of the plate 80 of flowing through.Air is provided for plate 80 by means of a pair of air line, and air line is connected on the plate 80 by accessory 80a.The energy that coldplate 80 prevents to be form of heat is transferred to spring from hot plate 82 and is subjected to support plate 72.

For preventing first and second dull and stereotyped 100 and 200 owing to balladeur train 30 damages towards the excess of stroke of first flat board 100, a pick off 90 is installed to the bottom 22 of fuselage 20 and indicates that with one 92 are installed on the main part 34 of balladeur train 30, referring to Fig. 2 A, 3A and 5.Pick off 90 is connected to controller 300, referring to Figure 11.If balladeur train 30 is moving too far on the direction of first flat board 100, then the sign 92 on the balladeur train 30 is with start sensor 90, and it produces a corresponding signal and gives controller 300.In response process, controller 300 disconnects the power of the motor 40 that drives balladeur train 30.Also provide one to be used to prevent to damage first and second dull and stereotyped 100 and 200 second sensor arrangement.It comprises that one is installed to microswitch 94 on the limiting member 22c and one and is fixedly installed to spring and is subjected to actuator 96 on the support plate 72, referring to Fig. 6 and 7.Microswitch 94 is connected on the controller 300, referring to Figure 11.Engaging cantilever 99 (not showing among Fig. 2 A and the 2D-2G) is installed on the main part 34 of balladeur train 30, referring to Fig. 5 and 6, and be suitable for before first and second teeth 102 on first and second dull and stereotyped 100 and 200 and 202 are meshed fully, promptly before second tooth 202 was engaged on bottom on first flat board 100 between first tooth 102, engage spring was subjected to support plate 72.When leaning the bias force that compression spring 74 that spring surpasses by 99 externally applied forces of joint cantilever of support plate 72 to lean plate 72 applied, plate 72 will move on the direction of spring load plate 70, make actuator 96 starting switches 94, it produces a corresponding signal again and gives controller 300.In response process, controller 300 disconnects the power of the motor 40 that drives balladeur train 30.

In a looping mill rolling operating process, the first roller R ₁On the first tooth T _AWith the second roller R ₂On the second tooth T _BBe meshed, referring to Fig. 8.When a set point with web speed Vw motion on a Web materials WM passes by the first and second roller R ₁And R ₂During the nip N that limited, it is by the first and second tooth T _AAnd T _BEngagement a period of time 2T.Set point on the Web materials is by the first and second tooth T _AAnd T _BThe available following formula of half of total engagement time of being meshed is determined:

$T=a\cos [1-\frac{E_M}{\mathrm{Di}}]\·\left[\frac{\mathrm{Di}}{2\×\mathrm{Vw}}\right]$

In the formula:

E _MEqual the first and second tooth T _AAnd T _BThe maximum engagement degree of depth;

Di equals the first and second roller R ₁And R ₂Diameter (supposition roller R ₁And R ₂Diameter identical); With

And Vw equals web speed.

The first and second tooth T of engagement _AAnd T _BThe depth of engagement of the set point on Web materials WM is the function of time, is determined by following formula:

$E\left(t\right)=E_M-\mathrm{Di}\·[1-\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\·(\frac{t}{T}-1)\left]\right]$

E _MEqual the first and second tooth T _AAnd T _BThe maximum engagement degree of depth;

Di equals the first and second roller R ₁And R ₂Diameter (supposition roller R ₁And R ₂Diameter identical);

T equals process time and has value in 0 to the 2T scope; With

T equals specified point on the Web materials WM by the first and second roller R ₁And R ₂On tooth T _AAnd T _BHalf of the total time of engagement is referring to above formula.

Engagement rate of change or tooth top speed Ve determine with following formula:

$\mathrm{Ve}=\frac{d}{\mathrm{dt}}E\left(t\right)=-\mathrm{Di}\·\sin [a\cos (1-\frac{E_M}{\mathrm{Di}})\·(\frac{t}{T}-1)]\·\left[\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{T}\right]$

In the formula:

E _MEqual the first and second tooth T _AAnd T _BThe maximum engagement degree of depth, referring to Figure 10;

T equals process time and has value in 0 to the 2T scope;

T equals set point on the Web materials WM by the first and second roller R ₁And R ₂On tooth T _AAnd T _BHalf of the total time of engagement is referring to above formula; With

Di equals the first and second roller R ₁And R ₂Diameter (supposition roller R ₁And R ₂Diameter identical).

Tooth top acceleration A e determines with following formula:

$\mathrm{Ae}=\frac{{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}{{\mathrm{dt}}^2}E\left(t\right)=-\mathrm{Di}\&CenterDot;\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(\frac{t}{T}-1)]\&CenterDot;[{\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{T}]}^2$

In the formula:

E _MEqual the first and second tooth T _AAnd T _BThe maximum engagement degree of depth;

T equals process time and has value in 0 to the 2T scope;

T equals set point on the Web materials WM by the first and second roller R ₁And R ₂On tooth T _AAnd T _BHalf of the total time of engagement is referring to above formula; With

Di equals the first and second roller R ₁And R ₂Diameter (supposition roller R ₁And R ₂Diameter identical).

Device 10 of the present invention is simulated the looping mill rolling process in the following manner.

Before simulating, engineer/technical staff determines and wants the relevant following parameters of mimic looping mill rolling operation: required web speed Vw, if promptly Web materials WM passes a pair of looping mill rolling roller R ₁And R ₂Between its operation speed, at looping mill rolling roller R ₁And R ₂On the first and second tooth T _AAnd T _BMaximum engagement degree of depth EM, at the first and second roller R ₁And R ₂On the first and second tooth T _AAnd T _BThe tooth pitch p and the first and second roller R ₁And R ₂Diameter Di.

First flat board 100 has by the first tooth pitch p ₁Isolated first tooth, 102, the second flat boards 200 have by the second tooth pitch p ₂Isolated second tooth 202 is referring to Figure 12 A and 12B.In illustrated embodiment, the first and second tooth pitch p ₁And p ₂Be equal to each other.The first and second tooth pitch p ₁And p ₂Also equal to want the looping mill rolling roller R of mimic operation ₁And R ₂On the first and second tooth T _AAnd T _BEach first tooth 102 has an outer end part 102a, and it has and is equivalent to the first looping mill rolling roller R ₁On the first tooth T _AThe first radius R T1 of radius, each outer second head portion 202a have and are equivalent to the second looping mill rolling roller R ₁On the second tooth T _AThe first radius R T2 of radius is referring to Fig. 9.Suppose that the first and second radius R T1 and RT2 are equal to each other.

The Web materials WM sample S of an essentially rectangular to be tested preferably is fixed on the holding frame 110, referring to Figure 13 A-13B with predetermined tension.Holding frame 110 comprises an immobilized fixed component 112 and an active fixed component 114.Be installed to sample S on fixed component 112 and 114 or after by their clampings, can moving movable part 114 so that required tension force is added on the sample S by a screw 116 or other mechanism.Holding frame 110 is installed in first and second receiving members 118, and receiving member 118 is fixedly installed to the bottom 22 of fixed main body 20 again.

With before Web materials sample S and dull and stereotyped 100 and 200 engagements, can just be close to the position of Web materials sample S sample S is heated to predetermined temperature by balladeur train 30 being moved to second tooth 202 that makes on second flat board 200.As mentioned above, heater controller 320 remains on predetermined temperature with hot plate 38 and 82.The available hot plate 38 and 82 of predetermined temperature that controls to is by keeping one section preset time to be heated to sample S temperature required between first and second dull and stereotyped 100 and 200 sample S.

Driving governor 300 is according to the operation of the servo linear motor 40 of feedback control of force cell 84 and 410 generations of linear encoder playback head, referring to Figure 11.Controller 300 makes motor 40 drive balladeur train 30 from original position towards first dull and stereotyped 100, make first and second dull and stereotyped 100 and 200 to mesh sample S, and further make second tooth 202 on second flat board 200 move to the required depth of engagement with respect to first tooth 102 on first flat board 100.When second tooth 202 has moved to the required depth of engagement with respect to first tooth 102, first and second teeth 102 and 202 parallel to each other basically and stagger mutually.Controller 300 makes motor 40 drive balladeur train 30 then on away from the direction of first flat board 100, makes that the tooth 202 on second flat board 200 breaks away from Web materials sample S, and further makes balladeur train 30 turn back to its original position.In illustrated embodiment, the tooth 202 of balladeur train 30 on from its original position to second flat board 200 is divided into discontinuous four sections with respect to the motion that the tooth 102 on first flat board 100 is positioned at the position of desired depth: the accelerating sections that advances, the linearity range that advances, advance changeover portion and engaged section.In addition, the motion that turns back to its original position of the tooth 202 of balladeur train 30 from second flat board 200 position that is positioned at desired depth with respect to the tooth 102 on first flat board 100 is divided into discontinuous four sections: break away from section, rollback changeover portion, rollback linearity range and rollback accelerating sections.

Each of eight sections includes a plurality of equal discrete intervals, for example 300 microseconds.For example, determine to carry out required total cycle of eight sections and the expectant control that can handle divided by driving governor 300 with this total cycle then for example counts out 7990 during the looping mill rolling simulated operation, to determine the discrete time cycle at interval.If the discrete time that the calculates cycle at interval, for example 300 microseconds then adopted predetermined value less than predetermined value.

Adopt to be discussed below and eight formula that section is corresponding, processor/memory cell 340 to determine the correspondence position of each discrete time balladeur train 30 at interval in each section.Interval and corresponding sledge position are provided for driving governor 300.During the accelerating sections that advances, the linearity range that advances, the changeover portion that advances, rollback changeover portion, rollback linearity range and rollback accelerating sections, driving governor 300 produces appropriate driving signal and gives amplifier 360a, 360b, with the predetermined sledge position and the motion of response from the sledge position signal controlling balladeur train 30 of linear encoder playback head 410 according to correspondence.During engagement and breaking away from section, driving governor 300 produces appropriate driving signal and gives amplifier 360a, 360b, with according to the predetermined sledge position of correspondence and response from the sledge position signal of linear encoder playback head 410 with from the motion of the force signal control balladeur train 30 of amplifier 84b.

The definition of engaged section is, occur in balladeur train 30 reached its " 0 ", be balladeur train 30 the position second tooth 202 just run into one with first and second teeth 102 and the plane of opening in 202 minutes after, till second tooth 202 on second flat board 200 is positioned in desired depth with respect to first tooth 102 on first flat board 100.The definition that breaks away from section is, occur in balladeur train 30 its directions of reversing with move second flat board 200 away from first flat board 100 till balladeur train reaches its " 0 ".Sledge position, tooth top speed Ve and the tooth top acceleration of a plurality of equal discrete times each at interval were as follows during processor/memory cell 340 calculated and occurs in engagement and break away from section.

Processor/memory cell 340 adopt above-mentioned total engagement time half T formula and treat that the predetermined value of mimic looping mill rolling process determines T engagement time, it equals the cycle of engaged section and the cycle that breaks away from section.The time T of each engagement and disengaging section is divided into a plurality of equal discrete times at interval then, and its each engagement and disengaging section have the cycle of calculating as mentioned above.For each interval, adopt the formula of aforementioned calculation E (t) to calculate depth of engagement E by processor/memory cell 340.From each depth of engagement E of calculating, processor/memory cell 340 is determined corresponding sledge position.Processor/memory cell 340 also adopts the formula of above-mentioned calculating Ve and Ae to determine the initial tooth top speed and the initial tooth top acceleration of engaged section.It also adopts definite end of a period tooth top speed and the end of a period tooth top acceleration that breaks away from section of formula of aforementioned calculation Ve and Ae.It provides discrete interval and corresponding sledge position to motor controller 300 then, and it is stored in information in the memorizer.

Reach its " 0 " afterwards at balladeur train 30, controller 300 makes servo linear motor 40 continue to drive balladeur train 30 towards first dull and stereotyped 100, make first and second dull and stereotyped 100 and 200 to mesh sample S, and further make second tooth 202 on second flat board 200 move to required depth of engagement E with respect to first tooth 102 on first flat board 100 _MGive in amplifier 360a, the 360b process in the generation appropriate driving signal, controller 300 is considered the position feedback information from linear encoder playback head 410, makes it to be compared with predetermined desired location by the physical location of the determined balladeur train 30 of the positional information that playback head 410 provides.Producing appropriate driving signal in the process of amplifier 360a, 360b, controller 300 is also considered the force information that is produced by force cell 84.

It is found that, when sample of web S not being provided between dull and stereotyped 100 and 200 and moving second flat board 200 when making that its tooth 202 is positioned to desired depth with respect to first tooth 102, the tolerance of sledge position need not force feedback information from force cell 84 just can be controlled to pact+/-10 microns.This is because second flat board 200 does not have power to be applied on first flat board 100 during engagement and disengaging section, even because second tooth 202 moves to required depth of engagement E with respect to first tooth 102 _M Second tooth 202 also never contacts first tooth 102.When Web materials sample S was provided, first and second teeth 102 and 202 produced a load during Web materials sample S engagement.This load should be by motor 40 counteractings to realize that sledge position is accurately controlled to less tolerance, for example about+/-10 microns to approximately+/-35 microns.Therefore, controller 300 increases offer the driving signal of amplifier 360a, 360b, so that the power that 40 pairs of balladeur trains of motor 30 are produced is substantially equal to the amount of the size of force cell 84 detected power.

Second flat board 200 with respect to first flat board 100 according to discrete time at interval and the rectilinear motion of the corresponding depth of engagement cause the operation simulation sample S that sample S is done to pass a pair of looping mill rolling roller R ₁And R ₂The time its operation that sample S has been done.The motion of the balladeur train 30 that controlled device 300 is controlled typically causes the outer top portion 202a of second tooth 202 to defer to the position to the time graph curve shown in Figure 14 A for example.Zero position 0 is the position when second tooth 202 on second flat board 200 just runs into a plane of determining between first and second teeth 102,202.

Processor/memory cell 340 be used for determining each discrete interval (its have at interval with engagement and break away from section time corresponding the same at interval same one-period) the sledge position (this paper is also referred to as " tooth top position ") and the formula of other parameter will be provided for remaining section, the accelerating sections that promptly advances, the linearity range that advances, the changeover portion that advances, rollback changeover portion, rollback linearity range and rollback accelerating sections.For these sections, unit 340 provides the sledge position of interval and correspondence to driving governor 300.

For engaged section, processor/memory cell 340 determines that by the formula of aforementioned calculation T balladeur train 30 is in required maximum engagement degree of depth E from second tooth 202 that its " 0 " moves on second flat board 200 with respect to first tooth 102 on first flat board 100 at first _MThe required time T in position.Thereafter, unit 340 with time T divided by the preset time gap periods of determining as mentioned above, to determine a plurality of discrete interval of engaged section.The position of engagement or tooth top position E (equaling the sledge position with respect to balladeur train " 0 "), tooth top speed Ve (it equals carriage speeds) and tooth top acceleration A e (it equals the balladeur train acceleration) are determined for each discrete interval then in unit 340, referring to embodiment described below, wherein always engagement time, T equaled 9.19 milliseconds).

To the advance predetermined value that is set at total time of changeover portion, for example 3.1 milliseconds, and typically during all looping mill rolling process simulations, adopt the same time for this section.The end of a period tooth top position of this section (corresponding to the end of a period sledge position with respect to balladeur train " 0 "), end of a period tooth top speed and end of a period tooth top acceleration all equal the initial tooth top position of engaged section, initial tooth top speed and initial tooth top acceleration, referring to embodiment described below.In addition, the initial tooth top acceleration of this section is necessary for 0.From these given numerical value, initial and middle tooth top position, initial and middle tooth top velocity amplitude and the initial and middle tooth top accekeration of this section determined in unit 340.

Pro-advances during the linearity range, and tooth top acceleration (corresponding to the balladeur train acceleration) is reduced to zero, makes tooth top speed be maintained at a constant value.When it when positive acceleration changes to negative acceleration, this section is used for cushioning any vibration of balladeur train 30.With the time set of this section is for example 2.0 milliseconds of predetermined values, and typically during all looping mill rolling process simulations, for the same time of this section employing.End of a period tooth top acceleration must equal zero, and end of a period tooth top speed must equal the to advance initial tooth top speed of changeover portion, referring to embodiment described below.

During the accelerating sections that advances, balladeur train 300 accelerates to the end of a period speed of the initial velocity of the linearity range that equals to advance from position 0 speed of beginning with fixed ratio.The balladeur train original position is determined by engineer/technical staff and is relevant with balladeur train " 0 ".Typically its equal or be approximately equal to balladeur train 30 can be away from its " 0 " localized ultimate range.Among the described below embodiment, it is set at the 70mm place.The distance that the distance of this section equals former distance of positions balladeur train " 0 " deduct balladeur train 30 pro-inlet wires and the changeover portion that advances during the distance (being 8.485 in an embodiment) of moving.The time of this section does not pre-determine.The positive constant acceleration (that is tooth top acceleration) of the balladeur train 30 that will the quicken initial tooth top speed from 0 speed to the linearity range that equals to advance is determined in unit 340 in the preset distance of this section.

For breaking away from Duan Eryan, processor/memory cell 340 determines that by the above-mentioned formula that calculates T balladeur train 30 is in their maximum engagement degree of depth E with respect to first tooth 102 on first flat board 100 from second tooth 202 on its second flat board 200 at first _MThe position move to its " 0 " required time T.Thereafter, unit 340 determines that time T break away from divided by preset time gap periods (this cycle is determined as mentioned above) a plurality of discrete interval of section.Unit 340 is determined then for the position of engagement of each discrete interval or tooth top position E (equaling the sledge position apart from " 0 "), tooth top speed (it equals carriage speeds) and tooth top acceleration (it equals the balladeur train acceleration), referring to embodiment described below, wherein the total time T of this section equals 9.19 milliseconds.

With the rollback changeover portion be set at for example 3.1 milliseconds of predetermined values total time, and typically during all looping mill rolling process simulations, adopt the same time for this section.The initial tooth top position of this section, initial tooth top speed and initial tooth top acceleration are (in an embodiment and for rollback transition, linearity and accelerating sections and break away from section, positive acceleration have a negative value and negative acceleration have one on the occasion of) be equal to the end of a period tooth top position, end of a period tooth top speed and the end of a period tooth top acceleration that break away from section, referring to embodiment described below.In addition, end of a period tooth top acceleration is necessary for 0 when the rollback changeover portion finishes.From these given numerical value, initial and middle tooth top position, initial and middle tooth top velocity amplitude and the initial and middle tooth top accekeration of this section determined in unit 340.

During the rollback linearity range, the tooth top acceleration is started from scratch and is changed to a constant tooth top deceleration value, and for rollback acceleration section to be discussed below, this value is constant tooth top deceleration value.This section is used for cushioning balladeur train 30 when its any vibration when positive acceleration changes to negative acceleration.The time of this section is set to for example 2.0 milliseconds of predetermined values, and typically during all looping mill rolling process simulations, for the same time of this section employing.The initial tooth top speed of this section must equal the end of a period tooth top speed of rollback changeover portion, referring to embodiment described below.

During the rollback accelerating sections, balladeur train 300 drops to 0 speed that balladeur train is in its former site with fixed ratio from the initial velocity that equals rollback linearity range end of a period speed.The distance that the distance of this section equals the former distance of positions " 0 " deducts the distance (being 8.485 in an embodiment) that balladeur train 30 moves during rollback linearity and rollback changeover portion.The time of this section does not pre-determine.The balladeur train 30 that will the quicken constant rate of deceleration (being tooth top deceleration) from the speed of the end of a period tooth top speed that equals the rollback linearity range to 0 speed is determined in unit 340 in the preset distance of this section.

It is sledge position and other parameter that processor/memory cell 340 adopts following formula determine to advance each discrete time that equates tooth top position at interval of accelerating sections, the linearity range that advances, the changeover portion that advances, rollback changeover portion, rollback linearity range and rollback accelerating sections:

Tfl=advances time of linearity range; Predetermined value is for example 0.0020 second;

Tft=advances time of changeover portion; Predetermined value is for example 0.0031 second;

The zero-time of Pi1=engaged section; Predetermined value is for example 0.00;

The time of Tbl=rollback (retreating) linearity range; Predetermined value is for example 0.0020 second;

The time of Tbt=rollback (retreating) changeover portion; Predetermined value is for example 0.0031 second;

E _MEqual the maximum engagement degree of depth of first and second teeth 102 and 202;

Di equals the first and second roller R ₁And R ₂Diameter (supposition roller R ₁And R ₂Diameter identical);

And Vw equals web speed;

Plim=equals the distance between balladeur train " 0 " and the balladeur train original position;

T=Ti=To; With

The sum at Npts=control point of all same period during all sections, for example 7990.

Finish the time (second) of engaged section

$\mathrm{Ti}=a\cos [1-\frac{E_M}{\mathrm{Di}}]\&CenterDot;\left[\frac{\mathrm{<figure-callout\; id="2"\; label="Di"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Di</figure-callout>}}{2\&times;\mathrm{Vw}}\right]$

Finish the time (second) that breaks away from section

$\mathrm{To}=a\cos [1-\frac{E_M}{\mathrm{Di}}]\&CenterDot;\left[\frac{\mathrm{<figure-callout\; id="2"\; label="Di"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Di</figure-callout>}}{2\&times;\mathrm{Vw}}\right]$

Initial engagement speed (meter per second)

$\mathrm{Vi}=-\mathrm{Di}\&CenterDot;\sin [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(-1)]\&CenterDot;\left[\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{\mathrm{Ti}}\right]$

Initial engagement acceleration (m)

$\mathrm{<figure-callout\; id="1"\; label="Ai"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ai</figure-callout>}1=-\mathrm{Di}\&CenterDot;\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(-1)]\&CenterDot;{\left[\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{\mathrm{Ti}}\right]}^2$

The initial velocity (meter per second) of changeover portion advances

$\mathrm{<figure-callout\; id="1"\; label="Vft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vft</figure-callout>}1=\mathrm{Vi}-\frac{\mathrm{<figure-callout\; id="1"\; label="Ai"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ai</figure-callout>}1\&CenterDot;\mathrm{<figure-callout\; id="2"\; label="Tft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Tft</figure-callout>}}{2}$

Vibration (the meter per second of changeover portion advances ³)

$\mathrm{Kf}=\frac{\mathrm{<figure-callout\; id="1"\; label="Ai"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ai</figure-callout>}1}{\mathrm{Tft}}$

The initial position (m) of changeover portion advances

$\mathrm{Pft}1=\mathrm{Pi}1-\mathrm{<figure-callout\; id="1"\; label="Vft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vft</figure-callout>}1\&CenterDot;\mathrm{Tft}-\frac{\mathrm{Kf}\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="Tft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Tft</figure-callout>}}^2}{6}$

The initial position (m) of linearity range advances

Pfl1＝Pft1-Vft1·Tfl

Advance time (second) of accelerating sections

$\mathrm{Tfa}=\frac{(\mathrm{Pfl}1-\mathrm{Plim})}{\frac{\mathrm{<figure-callout\; id="1"\; label="Vft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vft</figure-callout>}1}{2}}$

Acceleration (the meter per second of accelerating sections advances ²)

$\mathrm{Afa}=\frac{\mathrm{<figure-callout\; id="1"\; label="Vft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vft</figure-callout>}1}{\mathrm{Tfa}}$

The total time (second) of acceleration, linearity, changeover portion and the engaged section of advancing

Tf＝Ti+Tft+Tfl+Tfa

Advance and quicken and total time of the linearity range that advances

Tfal＝Tfa+Tfl

Advance total time (second) of acceleration, the linearity of advancing and the changeover portion that advances

Tfalt＝Tfa+Tfl+Tft

End of a period disengaging configuration (m)

$\mathrm{<figure-callout\; id="2"\; label="Po"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Po</figure-callout>}2=E_M-\mathrm{Di}\&CenterDot;[1-\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;\left(1\right)\left]\right]$

End of a period second cosmic velocity (meter per second)

$\mathrm{Vo}=-\mathrm{Di}\&CenterDot;\sin [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;\left(1\right)]\&CenterDot;\left[\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{T}\right]$

End and break away from acceleration (meter per second ²)

$\mathrm{<figure-callout\; id="2"\; label="Ao"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ao</figure-callout>}2=-\mathrm{Di}\&CenterDot;\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;\left(1\right)]\&CenterDot;{\left[\frac{a\cos (1-\frac{E_M}{\mathrm{Di}})}{T}\right]}^2$

Vibration (the meter per second of rollback changeover portion ³)

$\mathrm{Kb}=-\frac{\mathrm{<figure-callout\; id="2"\; label="Ao"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ao</figure-callout>}2}{\mathrm{Tbt}}$

The ultimate position of rollback changeover portion (m)

$\mathrm{<figure-callout\; id="2"\; label="Pbt"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Pbt</figure-callout>}2=\mathrm{<figure-callout\; id="2"\; label="Po"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Po</figure-callout>}2+\mathrm{Vo}\&CenterDot;\mathrm{Tbt}+\frac{(\mathrm{<figure-callout\; id="2"\; label="Ao"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ao</figure-callout>}2\&CenterDot;{\mathrm{Tbt}}^2)}{2}+\frac{(\mathrm{Kb}\&CenterDot;{\mathrm{Tbt}}^3)}{6}$

The end of a period speed (m) of rollback changeover portion

$\mathrm{<figure-callout\; id="2"\; label="Vbt"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vbt</figure-callout>}2=\mathrm{Vo}+\frac{\mathrm{<figure-callout\; id="2"\; label="Ao"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ao</figure-callout>}2}{2}\&CenterDot;\mathrm{Tbt}$

The ultimate position of rollback linear position (m)

Pbl2＝Pbt2+Vb2·Tbl

The time of rollback accelerating sections (second)

$\mathrm{Tba}=\frac{(\mathrm{Plim}-\mathrm{Pbl}2)}{\left(\frac{\mathrm{<figure-callout\; id="2"\; label="Vbt"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vbt</figure-callout>}2}{2}\right)}$

Acceleration (the meter per second of rollback accelerating sections ²)

$\mathrm{aba}=\frac{\mathrm{<figure-callout\; id="2"\; label="Vbt"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vbt</figure-callout>}2}{\mathrm{Tba}}$

The total time (second) of the section of advancing, engaged section and disengaging section

Tbo＝Tf+To

The section of advancing, engaged section add the total time (second) of disengaging and rollback changeover portion

Tbot＝Tf+To+Tbt

The section of advancing, engaged section add the total time (second) of disengaging, rollback transition and rollback linearity range

Tbotl＝Tf+To+Tbt+Tbl

Advance and total time (second) of rollback section and engagement and disengaging section

Tfb＝Tf+To+Tbt+Tbl+Tba

The cycle (second) of discrete interval

$\mathrm{Tspl}=\left(\frac{\mathrm{Tfb}}{\mathrm{Npts}}\right)$

The advance position (m) of accelerating sections; T=0 to Tfa in the formula (second)

$\mathrm{Pfa}=\mathrm{Pa}+\frac{\mathrm{Afa}\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{2}$

The advance position (m) of linearity range; T=0 to Tfl in the formula (second)

Pfl＝Pfl1+Vfl·t

The advance position (m) of changeover portion; T=0 to Tft in the formula (second)

$\mathrm{Pft}=\mathrm{<figure-callout\; id="1"\; label="Pft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Pft</figure-callout>}1=\mathrm{<figure-callout\; id="1"\; label="Vft"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vft</figure-callout>}1\&CenterDot;t+\frac{\mathrm{Kf}\&CenterDot;t^3}{6}$

The position of engaged section (m); T=0 to Ti in the formula (second)

$\mathrm{Pi}=E_M-\mathrm{Di}\&CenterDot;[1-\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(\frac{t}{T}-1)\left]\right]$

The position (m) that breaks away from section; T=To 2To in the formula (second)

$\mathrm{Po}=E_M-\mathrm{Di}\&CenterDot;[1-\cos [a\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(\frac{t}{T}-1)\left]\right]$

The position of rollback changeover portion (m); T=0 to Tbt in the formula (second)

$\mathrm{Pbt}=\mathrm{<figure-callout\; id="2"\; label="Po"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Po</figure-callout>}2+\mathrm{Vo}\&CenterDot;t+\frac{\mathrm{<figure-callout\; id="2"\; label="Ao"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Ao</figure-callout>}2\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{2}+\frac{\mathrm{Kb}{\&CenterDot;t}^3}{6}$

The position of rollback linearity range (m); T=0 to Tbl in the formula (second)

Pbl＝Pbl1+Vbl·t

The position of rollback accelerating sections (m); T=0 to Tba in the formula (second)

$\mathrm{Pbd}=\mathrm{<figure-callout\; id="2"\; label="Pbl"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Pbl</figure-callout>}2+\mathrm{<figure-callout\; id="2"\; label="Vbt"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">Vbt</figure-callout>}2\&CenterDot;t+\frac{\mathrm{Aba}\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="A20038010353000441.png,A20038010353000442.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{2}$

Before carrying out test operation, next-door neighbour first dull and stereotyped 20 places the calibration plate 400 with known thickness T, referring to Figure 15.The motion of controller 300 controls second flat board 200 is so that it is mobile lentamente till engagement calibration plate 400 towards first flat board 100.When will mesh, the site error of servo linear motor 40 increases, because the mobile obstruction that is subjected to calibration plate 400 of balladeur train 30, the increase of its site error detects with controller 300.In other words, controller 300 determines that from the position signalling that linear encoder playback head 410 produces the position of balladeur train 30 does not change, and to drive that signal comes to provide power to motor 40 also be like this even controller 300 is producing one.Along with 0 motion that senses balladeur train 30, controller 300 tell balladeur train 30 be positioned at " 0 " away from balladeur train 30, promptly second tooth 202 on second flat board 200 just run into one separately on first and second dull and stereotyped 100 and 200 separately tooth 102 and the distance that equals calibration plate 400 thickness of 202 planar balladeur train 30 positions, referring to Figure 15.Read corresponding positional value from sensor strip 412 after, according to the position signalling that linear encoder playback head 410 produces, controller 300 determines that the current location of balladeur train 30 is as the distance away from " 0 " that equals calibration plate 400 thickness.

During by first and second dull and stereotyped 100 and 200 engagements, Strain (t) that sample S is stood and strain rate can adopt and will determine according to Fig. 9 and 10 formula of deriving.

Shown among Fig. 9 on first and second dull and stereotyped 100 and 200 that first tooth 102 separately is meshed with a Web materials WM with second tooth 202 (tooth pitch (p) of supposing first tooth 102 is identical with the tooth pitch (p) of second tooth 202).Web materials WM _PThe central point C of a part on first tooth 102 _AExtend to a central point C on second tooth 202 _BThe degree of depth that tooth 102 and 202 is meshed determines that with E (t) referring to Fig. 9 and 10, its computing formula as mentioned above.Before being stretched by tooth 102 and 202, fibre web part WM _PInitial length equal half of tooth 102 and 202 tooth pitch p, i.e. p/2.Adopt following formula to be defined as length after the processing of Web materials part WMP of time function or that stretched, i.e. L (t), referring to Fig. 9 and 10:

L(t)＝O ₁(t)+O ₂(t)+I(t)

O in the formula ₁(t) equal to be meshed and from tooth central point C by tooth 102 _AExtend to final tooth point of contact C _F1One section Web materials part WM _P

O in the formula ₂(t) equal to be meshed and from tooth central point C by tooth 202 _BExtend to final tooth point of contact C _F2One section Web materials part WM _PWith

I (t) equals not nibbled by any tooth 102,202 to be incorporated in final tooth point of contact C _F1And C _F2Between the fibre web part WM of the interlude that extends _P

I (t) determines with following formula:

$I\left(t\right)=\sqrt{{(p/2)}^2+{(E\left(t\right)-2r)}^2-{\left(2r\right)}^2}$

In the formula:

P equals the tooth pitch of tooth 102 and 202;

R equals the radius R T1 of tooth 102 outer top portion 102a and also equals the radius R T2 of tooth 202 outer top portion 202a, referring to Fig. 9, because supposition RT1 and RT2 equate; With

E (t) equals the degree of depth that the tooth 102 and 202 as time function has been engaged with each other, and determines with the above formula.

O(t)＝O ₁(t)+O ₂(t)。

When E (t)-2r＞0, O (t) determines with following formula:

$O\left(t\right)=[\mathrm{\&pi;}-a\cos \sqrt{\frac{{\left(2r\right)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}}-a\sin \sqrt{\frac{{(p/2)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}}]\&CenterDot;r$

When E (t)-2r＜0, O (t) determines with following formula:

$O\left(t\right)=[-a\cos \sqrt{\frac{{\left(2r\right)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}}-a\sin \sqrt{\frac{{(p/2)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}}]\&CenterDot;r$

In the formula:

P equals the tooth pitch of tooth 102 and 202;

R equals the radius R T1 of tooth 102 outer top portion 102a and also equals the radius R T2 of tooth 202 outer top portion 202a, referring to Fig. 9, because supposition radius R T1 and RT2 equate; With

E (t) equals the degree of depth that the tooth 102 and 202 as time function has been engaged with each other, and determines with the above formula.

When E (t)-2r＞0, S (t) determines with following formula:

$\mathrm{Strain}\left(t\right)=(\frac{2\&CenterDot;O\left(t\right)+I\left(t\right)}{p/2}-1)$

$\mathrm{Strain}\left(t\right)=\left(\frac{(\mathrm{\&pi;}-a\cos \sqrt{\frac{{\left(2r\right)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}-}a\sin \sqrt{\frac{{(p/2)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}})\&CenterDot;2r+\sqrt{{(p/2)}^2+{(E\left(t\right)-2r)}^2-{\left(2r\right)}^2}}{p/2}-1\right)$

When E (t)-2r＜0, S (t) determines with following formula:

$\mathrm{Strain}\left(t\right)=(\frac{2\&CenterDot;O\left(t\right)+I\left(t\right)}{p/2}-1)$

$\mathrm{Strain}\left(t\right)=(\frac{(-a\cos \sqrt{\frac{{\left(2r\right)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}}+a\sin \sqrt{\frac{{(p/2)}^2}{{(E\left(t\right)-2r)}^2+{(p/2)}^2}})\&CenterDot;2r+\sqrt{{(p/2)}^2+{(E\left(t\right)-2r)}^2-{\left(2r\right)}^2}}{p/2}-1$

In the formula:

P equals the tooth pitch of tooth 102 and 202;

R equals the radius R T1 of tooth 102 outer top portion 102a and also equals the radius R T2 of tooth 202 outer top portion 202a, referring to Fig. 9, because RT1 and RT2 are assumed to be equates; With

E (t) equals the degree of depth that the tooth 102 and 202 as time function has been engaged with each other, and determines with the above formula.

Can determine average strain rate (1/s) by the first derivative of getting Strain (t).The first derivative of Strain (t) can adopt for example commercially available Mathematical treatment software kit such as Mathcad to try to achieve.

End of a period strain (S _f) determine with following formula:

S _f＝[(L _f-L ₀)/L ₀]

L in the formula _fFor processing back Web materials part WM _PEnd of a period length; With

L ₀Be same Web materials part WM _PInitial length before the processing.

S _fAdopt the formula of Strain (t) to determine, wherein t=T.

It is believed that first and second dull and stereotyped 100 and 200 engageable Web materials sample S of apparatus of the present invention 10 and to equal the strain rate stretching sample S of about 2000/s.

Can be determined with following formula by the tension force that tooth 102 and 202 is applied on the Web materials sample S:

For (E (t)-2*r)＞0

$F_{\mathrm{Mat}}=\frac{F_{\mathrm{LC}}}{\cos {\left[a\sin \right[\frac{{\left(\frac{p}{2}\right)}^2}{{\left(\frac{p}{2}\right)}^2+{(E\left(t\right)-2\&CenterDot;r)}^2}]}^{0.5}+a\cos {\left[\frac{{(2\&CenterDot;r)}^2}{{\left(\frac{p}{2}\right)}^2+{(E\left(t\right)-2\&CenterDot;r)}^2}\right]}^{0.5}-\frac{\mathrm{\&pi;}}{2}]}$

In the formula:

F _LCEqual to affact the composite force on the force cell 84.

P equals the tooth pitch of tooth 102 and 202;

R equals the radius R T1 of tooth 102 outer top portion 102a and also equals the radius R T2 of tooth 202 outer top portion 202a, referring to Fig. 9, because supposition RT1 and RT2 equate; With

E (t) equals the depth of engagement in time t place first and second teeth 102 and 202, and the scope of t value is to 2T, referring to above formula from 0 in the formula.

For (E (t)-2*r)≤0

$F_{\mathrm{Mat}}=\frac{F_{\mathrm{LC}}}{\cos {[\frac{\mathrm{\&pi;}}{2}-a\sin [\frac{{\left(\frac{p}{2}\right)}^2}{{\left(\frac{p}{2}\right)}^2+{(E\left(t\right)-2\&CenterDot;r)}^2}]}^{0.5}+a\cos {\left[\frac{{(2\&CenterDot;r)}^2}{{\left(\frac{p}{2}\right)}^2+{(E\left(t\right)-2\&CenterDot;r)}^2}\right]}^{0.5}]}$

In the formula:

F _LCEqual to affact the composite force on the force cell 84.

P equals the tooth pitch of tooth 102 and 202;

R equals the radius R T1 of tooth 102 outer top portion 102a and also equals the radius R T2 of tooth 202 outer top portion 202a, referring to Fig. 9, because supposition RT1 and RT2 equate; With

E (t) equals the depth of engagement in time t place first and second teeth 102 and 202, and the scope of t value is to 2T, referring to above formula from 0 in the formula.

Also can imagine engineer/technical staff can use device 10 of the present invention to simulate the required strain and the strain rate that may stand at looping mill rolling operating period Web materials.Engineer/technical staff must determine following parameters: required strain, required strain rate, first and second looping mill rolling roller R ₁And R ₂On the first and second tooth T _AAnd T _BTooth pitch, tooth T _AAnd T _BThe radius and the first and second roller R of outer top portion ₁And R ₂Diameter Di.From above-described calculating total engagement time of T half, can follow further derivation formula as the engagement E (t) of time function and strain S (t) formula and determine: web speed Vw, if promptly Web materials WM is at pair of rolls R ₁And R ₂Between pass its speed of advancing, looping mill rolling roller R ₁And R ₂On the first and second tooth T _AAnd T _BThe maximum engagement degree of depth and half T of total engagement time.Adopt and the accelerating sections that advances, the linearity range that advances, the changeover portion that advances, engaged section, disengaging section, rollback changeover portion, rollback linearity range and the corresponding formula of rollback accelerating sections, come to determine a plurality of slide positions with those values then, the looping mill rolling operation that the tooth that is engaged with the simulation Web materials is processed with required strain rate for the discrete time.

Device 10 of the present invention also can change first instrument of being installed on the balladeur train 30 or workpiece in time and be applied to and be installed to spring and be subjected to second instrument on the support plate 72 or the load on the workpiece.Also can imagine and a workpiece can be installed in that balladeur train 30 and spring are subjected between the support plate 72 and be tension force and place owing to balladeur train 30 moves on the direction that is subjected to support plate 72 away from spring.Be applied to the big I of tension force on the workpiece according to controlling as the position of the balladeur train 30 of time function or as the tensile load of the workpiece of time function.

Also can imagine spring or comprise that the spring constant of the workpiece of a part that limits a spring can determine as follows.The spring (not shown) can be installed to spring is subjected on the support plate 72.The electric current that is added on the motor 40 changes in time.For each predetermined current value, adopt from the reading of force cell 84 and the sledge position reading of linear encoder playback head 410.From determining spring constant by the power reading of force cell 84 generations with by the displacement (its carriage advance equals the displacement of spring) of the definite balladeur train 30 of sledge position reading.

The data that get by an embodiment looping mill rolling simulated operation have been stated below.Figure 14 A illustrates the position of embodiment to time graph; Figure 14 B illustrates the speed of embodiment to time graph; Illustrate the acceleration of embodiment to time graph (1g=9.8m/s with Figure 14 C ²).

The data of embodiment

The high speed research press

Be used to rotate the model of roll gap processing

Acceleration of gravity, G (mm/second 2) 9814.56

Acceleration+linearity+transition distance, the accelerating sections distance of Da (millimeter) 70 supposition

The engagement distance, De (millimeter) 6.812 268.19 mils

The input roller diameter, 152.40 6.0 inches of DrA (millimeter)

The outlet roller diameter, 152.40 6.0 inches of DrB (millimeter)

Web speed, V (rice/millisecond) 2.4890 490 feet per minute clocks

Annotate: the numeral in the top frame is a processing variable

The calculating of the changeover portion rollback that advances

The initial acceleration of changeover portion (mm/second ^2) 00

The end of a period acceleration (mm/second ^2)-155333.6-155333.6 of changeover portion

The end of a period speed (mm/second) 1471.66 1471.66 of changeover portion

The initial velocity of changeover portion (mm/second) 1712.42 1712.42

Accelerating sections distance (millimeter) 61.52 61.52

Changeover portion distance (millimeter) 5.060 5.060

(millisecond) 2.0 2.0 constant values of used time of linearity range

The used time of changeover portion (millisecond) 3.1 3.1

Linearity range distance (millimeter) 56.46 56.46

The vibration of changeover portion (mm/second ^3)-50107615.6-50107615.6

Accelerating sections advances

Acceleration distance total time acceleration time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.00 0.00 70.000 0.00 0.00

7.18 0.615 7.18 69.385 171 2.43

14.37 2.461 14.37 67.539 342 2.43

21.55 5.536 21.55 64.464 514 2.43

28.74 9.842 28.74 60.158 685 2.43

35.92 15.379 35.92 54.621 856 2.43

43.11 22.146 43.11 47.854 1027 2.43

50.29 30.143 50.29 39.857 1199 2.43

57.48 39.370 57.48 30.630 1370 2.43

64.66 49.827 64.66 20.173 1541 2.43

71.85 61.515 71.85 8.485 1712 2.43

Linearity range advances

Linear session acceleration distance total time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.000 71.85 8.485 1712 2.43

0.40 0.685 72.25 7.800 1712 0.00

0.80 1.370 72.65 7.115 1712 0.00

1.20 2.055 73.05 6.430 1712 0.00

1.60 2.740 73.45 5.745 1712 0.00

2.00 3.425 73.85 5.060 1712 0.00

Changeover portion advances

Transition distance total time transit time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.000 73.85 5.060 1712 0.00

0.31 0.531 74.16 4.529 1710 -1.58

0.62 1.060 74.47 4.000 1703 -3.17

0.93 1.586 74.78 3.474 1691 -4.75

1.24 2.107 75.09 2.952 1674 -6.33

1.55 2.623 75.40 2.437 1652 -7.91

1.86 3.131 75.71 1.928 1626 -9.50

2.17 3.631 76.02 1.429 1594 -11.08

2.48 4.119 76.33 0.940 1558 -12.66

2.79 4.596 76.64 0.463 1517 -14.24

3.10 5.060 76.95 0.000 1472 -15.83

Engaged section

Engagement time, engagement was apart from total time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0 0.000 76.95 0.000 1472 -15.83

0.92 1.286 77.86 -1.286 1328 -15.97

1.84 2.441 78.78 -2.441 1184 -16.09

2.76 3.461 79.70 -3.461 1038 -16.20

3.68 4.348 80.62 -4.348 892 -16.30

4.59 5.099 81.54 -5.099 744 -16.38

5.51 5.715 82.46 -5.715 596 -16.45

6.43 6.195 83.38 -6.195 448 -16.50

7.35 6.538 84.30 -6.538 299 -16.54

8.27 6.743 85.22 -6.743 149 -16.56

9.19 6.812 86.13 -6.812 0 -16.57

Break away from section

Engagement time, engagement was apart from total time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 6.812 86.13 -6.812 0 -16.57

0.92 6.743 87.05 -6.743 -149 -16.56

1.84 6.538 87.97 -6.538 -299 -16.54

2.76 6.195 88.89 -6.195 -448 -16.50

3.68 5.715 89.81 -5.715 -596 -16.45

4.59 5.099 90.73 -5.099 -744 -16.38

5.51 4.348 91.65 -4.348 -892 -16.30

6.43 3.461 92.57 -3.461 -1038 -16.20

7.35 2.441 93.48 -2.441 -1184 -16.09

8.27 1.286 94.40 -1.286 -1328 -15.97

9.19 0.000 95.32 0.000 -1472 -15.83

The rollback changeover portion

Transition distance total time transit time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.000 95.32 0.000 -1472 -15.83

0.31 0.531 95.63 0.531 -1517 -14.24

0.62 1.060 95.94 1.060 -1558 -12.66

0.93 1.586 96.25 1.586 -1594 -11.08

1.24 2.107 96.56 2.107 -1626 -9.50

1.55 2.623 96.87 2.623 -1652 -7.91

1.86 3.131 97.18 3.131 -1674 -6.33

2.17 3.631 97.49 3.631 -1691 -4.75

2.48 4.119 97.80 4.119 -1703 -3.17

2.79 4.596 98.11 4.596 -1710 -1.58

3.10 5.060 98.42 5.060 -1712 0.00

The rollback linearity range

Linear session acceleration distance total time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.000 98.42 5.060 -1712 0.00

0.40 0.685 98.82 5.745 -1712 0.00

0.80 1.370 99.22 6.430 -1712 0.00

1.20 2.055 99.62 7.115 -1712 0.00

1.60 2.740 100.02 7.800 -1712 0.00

2.00 3.425 100.42 8.485 -1712 2.43

The rollback accelerating sections

Acceleration distance total time acceleration time in good time position tooth top speed tooth top acceleration

(millisecond) (millimeter) (millisecond) (millimeter) (mm/second) (g)

0.00 0.000 100.42 8.485 -1712 2.43

7.18 11.688 107.61 20.173 -1541 2.43

14.37 22.146 114.79 30.630 -1370 2.43

21.55 31.373 121.98 39.857 -1199 2.43

28.74 39.370 129.16 47.854 -1027 2.43

35.92 46.137 136.35 54.621 -856 2.43

43.11 51.673 143.53 60.158 -685 2.43

50.29 55.979 150.71 64.464 -514 2.43

57.48 59.055 157.90 67.539 -342 2.43

64.66 60.900 165.08 69.385 -171 2.43

71.85 61.515 172.27 70.000 0 0.00

Claims (10)

1. simulation press is characterized in that comprising:

Fixed main body;

With the balladeur train that described fuselage links to each other, it moves with respect to described fuselage;

Be connected on the described fixed main body and be suitable for meshing first flat board of workpiece;

Be connected to second flat board to move with described balladeur train on the described balladeur train, described second flat board also is suitable for meshing described workpiece;

Be connected at least one electronic device on described fixed main body and the described balladeur train, it is used to realize the motion of described balladeur train with respect to described fuselage;

Be connected to the driving governor on described at least one electronic device, it is used to respond the operation of controlling described at least one electronic device from the feedback of at least one feedback transducer, so that described second flat board with respect to described first treadmill exercise, make the described first and second dull and stereotyped described workpiece of engagement and on described workpiece analog loop roll operation.

2. simulation press as claimed in claim 1, wherein said at least one electronic device is characterised in that at least one servo linear motor.

3. simulation press as claimed in claim 2, the feature of wherein said at least one electronic device also are to be connected at least one amplifier on described driving governor and described at least one servo linear motor.

4. simulation press as claimed in claim 1, wherein said balladeur train is with respect to described fixed main body linear reciprocating motion.

5. simulation press as claimed in claim 1, wherein said first flat board is connected on the described fixed main body by connecting structure, described connecting structure comprises at least one force transducer that is used to detect meshed the power that produces during the described workpiece by described first and second flat boards, described controller response is increased the power that is produced by described at least one electronic device by the detected power of described at least one force transducer, and described at least one force transducer is characterised in that and comprises described at least one feedback transducer.

6. simulation press as claimed in claim 5, wherein said at least one force transducer is characterised in that at least one force cell.

7. simulation press as claimed in claim 6, the feature of wherein said at least one feedback transducer also is to comprise a linear encoder playback head and a sensor strip that is connected on the described balladeur train that is connected on the described fixed main body, and described playback head is from described sensor strip read-out position value and produce corresponding signal to described controller.

8. simulation press as claimed in claim 7, wherein predetermined discrete time is provided for described controller with corresponding sledge position at interval, and the operation of described at least one electronic device of described controller control offers the sledge position of described controller and described balladeur train is controlled in response by the signal of described playback head and described at least one force cell generation motion with basis.

9. simulation press as claimed in claim 8, at least a portion of wherein said sledge position is determined with following formula:

$E\left(t\right)=E_M-\mathrm{Di}\&CenterDot;[1-\cos [\mathrm{\&alpha;}\cos (1-\frac{E_M}{\mathrm{Di}})\&CenterDot;(\frac{t}{T}-1)\left]\right]$

In the formula:

E _MEqual the maximum engagement degree of depth of first and second teeth on first and second rollers of the simulated operation of wanting;

Di equals the diameter of described first and second rollers;

T equals process time and has value in 0 to the 2T scope; With

T equals set point on the workpiece by half of the total time of first and second teeth on described first and second rollers engagements.

One kind on workpiece analog loop roll method of operating, described method is characterised in that and may further comprise the steps:

First flat board with first tooth is provided;

Provide and have bidentate second flat board; With

According to having roughly the position of parabolic shape time graph is moved described second flat board with respect to described first flat board, make the described first and second dull and stereotyped engagement workpiece and on described workpiece analog loop roll operation.

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