EP0486896A1 - Procédé pour enrouler un fil en enroulement de precision etage - Google Patents

Procédé pour enrouler un fil en enroulement de precision etage Download PDF

Info

Publication number
EP0486896A1
EP0486896A1 EP91119040A EP91119040A EP0486896A1 EP 0486896 A1 EP0486896 A1 EP 0486896A1 EP 91119040 A EP91119040 A EP 91119040A EP 91119040 A EP91119040 A EP 91119040A EP 0486896 A1 EP0486896 A1 EP 0486896A1
Authority
EP
European Patent Office
Prior art keywords
mirror
turns
winding
distance
thread
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
EP91119040A
Other languages
German (de)
English (en)
Other versions
EP0486896B1 (fr
Inventor
Heiner Kudrus
Ekkehard Schlüter
Günter Dr. Grabe
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
NEUMAG Neumuenstersche Maschinen und Anlagenbau GmbH
Original Assignee
NEUMAG Neumuenstersche Maschinen und Anlagenbau GmbH
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by NEUMAG Neumuenstersche Maschinen und Anlagenbau GmbH filed Critical NEUMAG Neumuenstersche Maschinen und Anlagenbau GmbH
Publication of EP0486896A1 publication Critical patent/EP0486896A1/fr
Application granted granted Critical
Publication of EP0486896B1 publication Critical patent/EP0486896B1/fr
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Images

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B65CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65HHANDLING THIN OR FILAMENTARY MATERIAL, e.g. SHEETS, WEBS, CABLES
    • B65H54/00Winding, coiling, or depositing filamentary material
    • B65H54/02Winding and traversing material on to reels, bobbins, tubes, or like package cores or formers
    • B65H54/38Arrangements for preventing ribbon winding ; Arrangements for preventing irregular edge forming, e.g. edge raising or yarn falling from the edge
    • B65H54/381Preventing ribbon winding in a precision winding apparatus, i.e. with a constant ratio between the rotational speed of the bobbin spindle and the rotational speed of the traversing device driving shaft
    • B65H54/383Preventing ribbon winding in a precision winding apparatus, i.e. with a constant ratio between the rotational speed of the bobbin spindle and the rotational speed of the traversing device driving shaft in a stepped precision winding apparatus, i.e. with a constant wind ratio in each step
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B65CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65HHANDLING THIN OR FILAMENTARY MATERIAL, e.g. SHEETS, WEBS, CABLES
    • B65H2701/00Handled material; Storage means
    • B65H2701/30Handled filamentary material
    • B65H2701/31Textiles threads or artificial strands of filaments

Definitions

  • the invention relates to a method for winding a continuously fed thread according to the preamble of claim 1.
  • the traversing frequency is constant in the wild winding. This results in a constant thread laying angle.
  • the number of turns ie the ratio of speed / traversing frequency, decreases continuously with increasing diameter. If the number of turns becomes an integer or assumes a value that differs from an integer by a simple fraction, such as 1 1/2 (second order), 2 2/3 (third order), 5 3/4 (fourth order) , so-called mirror windings arise.
  • the figures below for which mirror windings are created are ie the whole and the mixed numbers, referred to as "mirror values".
  • the characteristic feature of a mirror winding is that turns are placed exactly on turns previously laid. In the case of integer number of turns, that is to say with mirrors of the first order, the turns of successive layers lie on one another. Second-order mirrors cover every other layer, etc.
  • the "layer” is the piece of thread that is placed on the spool during a double stroke, i.e. while the traversing thread guide moves from one end of the bobbin to the other and back.
  • the "thread” is the piece of thread that is put on during one revolution.
  • the number of turns i is the number of turns per layer.
  • mirror windings can cause a number of disadvantages, in particular an unstable spool structure, difficulties in unwinding the affected spool and unevenness in a subsequent coloring.
  • the traversing speed is in a fixed ratio to the speed of the coil; the number of turns therefore remains constant.
  • the traversing frequency also becomes smaller and smaller as the coil diameter increases. The result is that the thread laying angle is also becoming smaller.
  • the angle of deposit decreases, the coherence of the coil deteriorates.
  • This method can therefore only be used to a limited extent. However, it has the advantage that one can avoid mirror formation by choosing the number of turns.
  • the winding is built up in several stages. In each individual stage - as with precision winding - the traversing frequency decreases proportionally with the coil speed. When the smallest still allowable placement angle has been set, the traversing frequency is increased abruptly. This creates a new, smaller number of turns. This process is repeated until the specified coil diameter is reached. With this method, it can happen that when the traversing frequency increases, the number of turns falls to or near a mirror value. Mirror formation also occurs when the number of turns does not exactly match the mirror value, but rather lies in an area in the closer vicinity of the mirror value. This area is referred to below as the "critical area”. The mirror formation can be much more pronounced than in the wild winding.
  • mirrors of the same atomic number can have different effects.
  • the person skilled in the art must pay particular attention to those mirror values, taking into account the atomic number determine, the avoidance of which is desirable considering the respective circumstances. For the sake of simplicity, these mirror values are referred to below as "dangerous mirror values".
  • the dangerous mirror values in the sense of the invention in any case include the whole numbers and the half-numbered intermediate values. In most practical cases, this also includes mirror values with higher atomic numbers, max. up to about the tenth order.
  • the invention is based on a method which has become known from EP-A1-0 375 043.
  • the number of turns of the individual stages is calculated using a computer.
  • the number of turns calculated in this way is compared with the dangerous mirror values. If it turns out that the distance between a number of turns falls below a predetermined minimum distance from a dangerous mirror value, then a corrected number of turns is used which maintains the minimum distance.
  • the minimum distance is defined - in accordance with all dangerous mirror values - on the basis of a diagram in which the current coil diameter is plotted on the abscissa and the current placement angle is plotted on the ordinate.
  • the working point runs through a hyperbolic working line with a constant number of turns.
  • the working lines must keep a minimum distance from the prohibited lines that correspond to the dangerous mirror values.
  • the minimum distance is defined as half the distance between the two closest neighboring forbidden lines.
  • Every correction of the calculated number of turns causes a restriction of the usable range of the traversing frequency and thus a reduction in the thread length that can be wound up in the affected step. If several corrections are made when building a coil, this can increase the number of stages. However, it is desirable to keep the number of switching operations as low as possible, since each switching operation means a brief, hardly controllable disturbance. A correction should therefore only be carried out if there is actually an acute risk of mirror formation. For the same reason, the corrective intervention should be kept as small as possible. There is another reason for this:
  • a correction factor that is too large can result in the number of turns avoiding one critical area at a distance, but falling into a critical area of a different order. Did you want e.g. avoiding a first-order mirror by increasing an exactly integer number of turns by 0.2, this would result in a fifth-order mirror. This consideration shows that there is a connection between the correction of the number of turns and the largest atomic number to be considered: In order to be able to take high atomic numbers into account, the correction quantity must be limited.
  • the invention has for its object to provide a method of the type specified in the preamble of claim 1, which allows on the one hand to avoid mirror formation up to higher ordinal numbers and on the other hand to keep the number and size of corrective interventions within narrow limits.
  • Figures 1 to 4 are assigned to Examples 1 to 4.
  • Figure 5 illustrates the underlying considerations of the inventors.
  • Figure 6 shows schematically a winding device for performing the method according to the invention.
  • FIG. 7 serves to compare the invention with the prior art, FIG. 7a representing the winding process according to Example 1 and FIG. 7b a corresponding winding process according to the prior art.
  • FIG. 5 the entire distance s traveled by the traversing thread guide, regardless of the direction of movement, is plotted on the abscissa.
  • the ordinate plots the distance y of the thread run-up point measured in the circumferential direction from a co-rotating line lying on the spool surface and parallel to the axis.
  • Mirror formation is avoided according to the invention with certainty by ensuring that the thread run-up point after Z turns has not covered the distance M ⁇ 2H, but the smaller distance M ⁇ 2H-a; the so-called laying distance a - measured from the middle of the thread to the middle of the thread - is larger than the width of the thread lying on it.
  • the increased increase and the increase in the number of turns are calculated as follows: With the abbreviation becomes This means that the mirror winding is avoided by working with a number of turns i + ⁇ i which is at least a "critical distance" from the mirror value i adheres to. If this critical distance is not maintained, a mirror winding can occur.
  • the critical distance depends on three quantities in accordance with equation (2): x, i, N.
  • the quantity x is derived in accordance with equation (1) from the laying distance a. According to the invention, this is kept as small as possible; it is therefore only a little larger than the width of the thread lying on it. On the other hand, it is recommended that the drive tolerances are not too small. Depending on the quality and other properties of the drive, a laying distance that exceeds the thread width many times may be required. For other reasons, too, it is occasionally necessary to choose a spacing that is significantly greater than the principle required by the invention. If, for example, in the course of further processing, the thread is pulled off the bobbin at high speed, thread breakage can occur if the laying distance is too small.
  • the distance between a corrected number of turns and the neighboring dangerous mirror value is determined according to equation (2) as a function of the number of turns and the number of ordinances, with a constant laying distance, at least corresponding to the thread width, being assumed during the entire winding process .
  • the invention takes advantage of the fact that the critical distances are different depending on the number of turns and atomic number.
  • the dependence on the atomic number is particularly important. According to the width of the critical areas, the higher the atomic number, the lower the probability that the number of turns will happen to fall into a certain critical area of higher order. This enables the higher orders to be taken into account without the number of necessary corrections increasing excessively.
  • the correction to be made is also approximately inversely proportional to the atomic number M. Because of the relationships this also applies to the required change in the traversing frequency. A relatively small reduction in the initial traversing frequency makes it possible to avoid critical areas of a higher order. The higher the atomic number, the less the frequency range available for the individual stages. The frequencies that fall victim to the correction form that upper end of the frequency range. The high traversing frequencies correspond to the large placement angles that are important for the coils to hold together. For this reason, too, it is a great advantage that the upper end of the frequency range is only slightly trimmed at higher orders.
  • the laying distance is not chosen to be greater than twice the thread width.
  • the critical distance is in the range of large numbers of turns, i.e. at the beginning of a coil trip, larger than in the area of low number of turns, i.e. at the end of the coil trip. This is used according to claim 3 by taking higher ordinal numbers into account at the end of the coil travel than at the beginning.
  • mirror values up to at least the fifth order are taken into account in at least one stage.
  • the mirror values can be avoided right up to an atomic number sufficient for the entire coil trip; in such cases, the maximum atomic number up to which the corrections are carried out is kept constant during the entire coil travel.
  • all mirror values are taken into account at least up to the third, preferably at least up to the fourth order.
  • the calculation of the number of turns for the individual stages is carried out using a computer.
  • the basic parameters are entered into the computer. This includes the thread speed, the stroke length, the start and end diameter of the bobbin, the minimum and maximum lay angle (or instead the minimum and maximum traversing frequency), the thread laying distance and in particular the dangerous mirror values.
  • the computer determines the number of turns from level to level. It calculates the number of turns i belonging to the maximum frequency of the stage and compares it with the dangerous mirror values. These generally have the form For all dangerous mirror values, the computer has to determine whether the calculated i falls within its critical range, ie whether the distance is smaller than the critical distance given by equation (2): If no, the calculated number of turns i is used. If the inequality (3) is for a certain mirror value is satisfied, a corrected number of turns determined. With the corrected number of turns, it becomes the mirror value belonging mirror winding avoided with certainty.
  • Two coils 1 are driven by a drive roller 2 on the circumference.
  • the drive roller 2 is rotated by a motor 3.
  • An inverter 4 keeps the motor speed constant at a predetermined value.
  • the coil speed falling in accordance with the increasing diameter of the coils 1 is detected by a speed sensor 5.
  • a corresponding signal is fed to a computer 6.
  • the computer 6 controls the speed of the drive motor 8 of a traversing device 9 via an inverter 7.
  • Examples 1 to 4 below serve to further illustrate the mode of operation of the invention. It is understood that relatively simple cases have been selected for this purpose. This should on the one hand clarify the effects and on the other hand avoid overloading the examples and drawings with confusing details. For this reason, values were used for the laying distance a, which are in the upper edge area of the spectrum customary in practice. Only relatively low atomic numbers were taken into account, although the actual advantages of the invention come into play in many practical cases, especially when higher atomic numbers are taken into account.
  • the coil travel has been chosen to be relatively short in the examples, so that it only comprises 6 to 7 stages. In many practical cases, it comprises about 15-30 levels. The number of turns used and the laying angle are representative of normal practice.
  • the mirrors up to the second order have been taken into account.
  • the calculated number of turns is not in the critical areas, so that no corrections are necessary.
  • the mirrors up to the third order have been taken into account.
  • the size x was chosen to be even larger than in the other examples.
  • the critical areas are particularly wide and the gaps are correspondingly narrow.
  • the fourth order was also taken into account - as can be seen from a few dashed fourth-order critical areas - overlaps and constrictions would occur.
  • the example illustrates that the avoidance of higher-order mirrors becomes difficult or impossible under unfavorable boundary conditions.
  • the invention still allows the avoidance of mirror windings up to the third order even under the assumed extremely unfavorable conditions.
  • FIG. 7a symbolizes the coil travel according to example 1 in a different representation, in which the current deposit angle is entered on the ordinate.
  • the critical areas of the mirror values are again highlighted by hatching. Their different widths are clearly recognizable.
  • the sawtooth-like working curve drawn with strong, solid lines has a total of six hyperbolic sections which illustrate the path of the working point in the six stages of the winding process. They run in the spaces between the different critical areas, so that a mirror-free winding is guaranteed without correction.
  • FIG. 7b illustrates a winding process according to the prior art that starts from the same boundary conditions.
  • the width of the forbidden areas with hatching is given by the distance between the mirror values 4 and 4.5. It is the same size for all mirror values.
  • the working curve up to the fourth stage almost coincides with the working curve according to FIG. 7a.
  • the sixth stage begins much earlier than in FIG. 7a.
  • an additional seventh stage is required.
  • a further correction is made to avoid the prohibited area.

Landscapes

  • Engineering & Computer Science (AREA)
  • Textile Engineering (AREA)
  • Winding Filamentary Materials (AREA)
EP91119040A 1990-11-23 1991-11-08 Procédé pour enrouler un fil en enroulement de precision etage Expired - Lifetime EP0486896B1 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
DE4037278 1990-11-23
DE4037278A DE4037278A1 (de) 1990-11-23 1990-11-23 Verfahren zum aufspulen eines fadens in gestufter praezisionswicklung

Publications (2)

Publication Number Publication Date
EP0486896A1 true EP0486896A1 (fr) 1992-05-27
EP0486896B1 EP0486896B1 (fr) 1995-05-24

Family

ID=6418786

Family Applications (1)

Application Number Title Priority Date Filing Date
EP91119040A Expired - Lifetime EP0486896B1 (fr) 1990-11-23 1991-11-08 Procédé pour enrouler un fil en enroulement de precision etage

Country Status (2)

Country Link
EP (1) EP0486896B1 (fr)
DE (2) DE4037278A1 (fr)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0578966A1 (fr) * 1992-07-17 1994-01-19 NEUMAG - Neumünstersche Maschinen- und Anlagenbau GmbH Procédé pour enrouler un fil par bobinage de précision étagé
DE10018808A1 (de) * 2000-04-15 2001-10-25 Schlafhorst & Co W Verfahren zum Herstellen von Kreuzspulen
US6443379B2 (en) 2000-04-20 2002-09-03 W. Schlafhorst Ag & Co. Method for producing a cheese, and a cheese so produced

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE10015933B4 (de) 2000-03-30 2015-09-03 Saurer Germany Gmbh & Co. Kg Verfahren zum Herstellen einer Stufenpräzisionswicklung
DE10033015B4 (de) * 2000-04-20 2011-01-13 Oerlikon Textile Gmbh & Co. Kg Verfahren zum Herstellen einer Kreuzspule und Kreuzspule
DE102010055575A1 (de) * 2010-12-21 2012-06-21 Oerlikon Textile Gmbh & Co. Kg Verfahren zur Herstellung einer Färbespule

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0093258A2 (fr) * 1982-05-03 1983-11-09 b a r m a g Barmer Maschinenfabrik Aktiengesellschaft Procédé pour éviter des rubans d'ordre entier ou fractionnaire en bobinage croisé au hasard d'un fil
DE3521120A1 (de) * 1985-06-13 1987-01-02 Maag Fritjof Spulmaschine und verfahren zum vermeiden von spiegeln beim aufspulen
EP0248406A2 (fr) * 1986-06-03 1987-12-09 TEIJIN SEIKI CO. Ltd. Appareil de va-et-vient pour fil
EP0375043A1 (fr) * 1988-12-23 1990-06-27 SAVIO S.p.A. Procédé pour contrôler l'enroulage du fil dans un dispositif de bobinage de fils synthétiques
EP0401781A1 (fr) * 1989-06-09 1990-12-12 Fritjof Dr.-Ing. Maag Bobine croisée enroulée avec précision, méthode pour la production et dispositif à cet effet

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0093258A2 (fr) * 1982-05-03 1983-11-09 b a r m a g Barmer Maschinenfabrik Aktiengesellschaft Procédé pour éviter des rubans d'ordre entier ou fractionnaire en bobinage croisé au hasard d'un fil
DE3521120A1 (de) * 1985-06-13 1987-01-02 Maag Fritjof Spulmaschine und verfahren zum vermeiden von spiegeln beim aufspulen
EP0248406A2 (fr) * 1986-06-03 1987-12-09 TEIJIN SEIKI CO. Ltd. Appareil de va-et-vient pour fil
EP0375043A1 (fr) * 1988-12-23 1990-06-27 SAVIO S.p.A. Procédé pour contrôler l'enroulage du fil dans un dispositif de bobinage de fils synthétiques
EP0401781A1 (fr) * 1989-06-09 1990-12-12 Fritjof Dr.-Ing. Maag Bobine croisée enroulée avec précision, méthode pour la production et dispositif à cet effet

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0578966A1 (fr) * 1992-07-17 1994-01-19 NEUMAG - Neumünstersche Maschinen- und Anlagenbau GmbH Procédé pour enrouler un fil par bobinage de précision étagé
US5447277A (en) * 1992-07-17 1995-09-05 Neumag-Neumuensterische Maschinen Und Anlagenbau Gmbh Method of winding yarn on a bobbin or the like in a stepwise high precision winding process
DE10018808A1 (de) * 2000-04-15 2001-10-25 Schlafhorst & Co W Verfahren zum Herstellen von Kreuzspulen
US6443379B2 (en) 2000-04-20 2002-09-03 W. Schlafhorst Ag & Co. Method for producing a cheese, and a cheese so produced

Also Published As

Publication number Publication date
DE59105578D1 (de) 1995-06-29
DE4037278C2 (fr) 1992-10-01
DE4037278A1 (de) 1992-05-27
EP0486896B1 (fr) 1995-05-24

Similar Documents

Publication Publication Date Title
EP0237892B1 (fr) Procédé et dispositif pour rebobiner des fils
DE3809635C2 (fr)
EP0578966B1 (fr) Procédé pour enrouler un fil par bobinage de précision étagé
EP0256411B1 (fr) Méthode pour embobiner des fils
EP0195325B1 (fr) Procédé de bobinage
DE2937601A1 (de) Verfahren zum aufwickeln von faeden
EP0150771B2 (fr) Paquet de fil enroulé par bobinage de précision, procédé et dispositif pour sa réalisation
EP0256383B1 (fr) Méthode pour embobiner des fils
EP1625091A1 (fr) Procede de bobinage de bande
EP0486896B1 (fr) Procédé pour enrouler un fil en enroulement de precision etage
DE19817111A1 (de) Verfahren zum Aufwickeln eines Fadens zu einer zylindrischen Kreuzspule
DE10015933B4 (de) Verfahren zum Herstellen einer Stufenpräzisionswicklung
DE4026915A1 (de) Anzeigevorrichtung mit schrittmotor
WO2002083538A1 (fr) Procede pour faire fonctionner une machine a enrouler des fils et dispositif d'enroulement associe
EP0093258A2 (fr) Procédé pour éviter des rubans d'ordre entier ou fractionnaire en bobinage croisé au hasard d'un fil
DE4112768A1 (de) Verfahren zum wickeln von kreuzspulen
DE3210244A1 (de) Verfahren zur spiegelstoerung beim aufwickeln eines fadens in wilder wicklung
CH687928A5 (de) Verfahren zum Umbaeumen von Faeden auf einen Kettbaum und zugehoerige Baeummaschine.
DE19548887A1 (de) Verfahren zum Aufwickeln von Fäden
DE19619706A1 (de) Verfahren zur Erzielung einer Spiegelstörung
EP0629174B1 (fr) Procede et dispositif de bobinage d'un fil
DE69123547T2 (de) Ablenksystem für eine Kathodenstrahlröhre
EP0837023B1 (fr) Dispositif pour bobiner un fil en bobinage croisé au hasard sur une bobine
DE19626962A1 (de) Verfahren zum Aufwickeln eines Fadens zu einer zylindrischen Kreuzspule
DE10018808A1 (de) Verfahren zum Herstellen von Kreuzspulen

Legal Events

Date Code Title Description
PUAI Public reference made under article 153(3) epc to a published international application that has entered the european phase

Free format text: ORIGINAL CODE: 0009012

AK Designated contracting states

Kind code of ref document: A1

Designated state(s): CH DE IT LI

17P Request for examination filed

Effective date: 19920611

17Q First examination report despatched

Effective date: 19941020

GRAA (expected) grant

Free format text: ORIGINAL CODE: 0009210

AK Designated contracting states

Kind code of ref document: B1

Designated state(s): CH DE IT LI

ITF It: translation for a ep patent filed
REF Corresponds to:

Ref document number: 59105578

Country of ref document: DE

Date of ref document: 19950629

PLBE No opposition filed within time limit

Free format text: ORIGINAL CODE: 0009261

STAA Information on the status of an ep patent application or granted ep patent

Free format text: STATUS: NO OPPOSITION FILED WITHIN TIME LIMIT

26N No opposition filed
PGFP Annual fee paid to national office [announced via postgrant information from national office to epo]

Ref country code: DE

Payment date: 19961107

Year of fee payment: 6

PGFP Annual fee paid to national office [announced via postgrant information from national office to epo]

Ref country code: CH

Payment date: 19961118

Year of fee payment: 6

PG25 Lapsed in a contracting state [announced via postgrant information from national office to epo]

Ref country code: LI

Free format text: LAPSE BECAUSE OF NON-PAYMENT OF DUE FEES

Effective date: 19971130

Ref country code: CH

Free format text: LAPSE BECAUSE OF NON-PAYMENT OF DUE FEES

Effective date: 19971130

REG Reference to a national code

Ref country code: CH

Ref legal event code: PL

PG25 Lapsed in a contracting state [announced via postgrant information from national office to epo]

Ref country code: DE

Free format text: LAPSE BECAUSE OF NON-PAYMENT OF DUE FEES

Effective date: 19980801

PG25 Lapsed in a contracting state [announced via postgrant information from national office to epo]

Ref country code: IT

Free format text: LAPSE BECAUSE OF NON-PAYMENT OF DUE FEES;WARNING: LAPSES OF ITALIAN PATENTS WITH EFFECTIVE DATE BEFORE 2007 MAY HAVE OCCURRED AT ANY TIME BEFORE 2007. THE CORRECT EFFECTIVE DATE MAY BE DIFFERENT FROM THE ONE RECORDED.

Effective date: 20051108