SI21810A - Internal gearing pair with s-gearing - Google Patents

Internal gearing pair with s-gearing Download PDF

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Publication number
SI21810A
SI21810A SI200400193A SI200400193A SI21810A SI 21810 A SI21810 A SI 21810A SI 200400193 A SI200400193 A SI 200400193A SI 200400193 A SI200400193 A SI 200400193A SI 21810 A SI21810 A SI 21810A
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gearing
fitting
point
pair
gear
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SI200400193A
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Slovenian (sl)
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Joze Hlebanja
Gorazd Hlebanja
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Gorazd Hlebanja
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Abstract

The internal gearing pair with S-gearing is a gearing pair, resulting from a gearwheel with internal cogs (1) and a gearwheel with external cogs (2) featuring lateral cog profiles, which according to the Gearing Act conforms to a curved semi-symmetrical S-shaped fitting track (5 or 6). The geometrical shape of the fitting track is first determined by the slope in its centre alphaC = 20 degrees +/- 2 degrees and increasing curve factor between the centre and the ends. Typical and predefined are the point at the beginning of fitting, the point at the end of fitting and the centre of the fitting curve, which coincides with the kinematic pole (C) of the gearwheel pair. The distance between the starting point of fitting (A) and the final point of fitting (E) on one side, as well as the centre of the wormwheel gearing (9) on the other corresponds to the module value. Their distance from the vertical axis of symmetry of the gearwheels (10) depends on the angle alphaE = 38 degrees +/- 1 degree, which results between the straight line E-C, or on the other side the straight line A-C with the axis of symmetry of the wormwheel gearing (9). All gearwheels of the same module, which correspond to such a fitting line can be manufactured by using the same tools. These gearwheels can fit together and uniformly convey power and rotation between parallel shafts. A typical application are gearing pumps.

Description

Navznotrnja zobniška dvojica z S-ozobjemInner gear pair with S-tooth

Predmet izuma je navznotrnja zobniška dvojica prikazana na sliki 1, ki obsega navznotrnji zobnik (1) in navzvenski zobnik (2), katerih zobje imajo v dotiku konveksno-konkavno prileganje bokov. Tako prileganje zob je pogojeno z ubirnico, ki ima obliko črke “S“, odtod tudi ime. Gibanje (vrtenje) se prenaša med navznotrnjim zobnikom (1), ki ima zobe obrnjene v smeri centra, in navzvenskim zobnikom (2), ki ima zobe obrnjene v nasprotni smeri - navzven. Lahko ga opišemo s hitrostma kinematičnih krogov (3) in (4), ki morata biti enaki, njuna kinematična os pa gre skozi točko C. V primeru, da se vrtenje prenaša od navzvenskega zobnika (2) na navznotrnjega (1) v proti urni smeri, se gonilni zobnik vrti okoli osi O2 v smeri, ki je označena s puščico (8) in gnani zobnik okoli osi Oi, v smeri, ki je označena s puščico (7). Tedaj poteka dotikališče zob v točki P in prenos sil na tem mestu po ubirnici (5). Ubiranje se prične v začetni točki (A), poteka preko točke (C) in se konča v končni točki ubiranja (E). Za prenašanje obremenitve pri vrtenju v nasprotni smeri pa poteka dotikališče zob po ubirnici (6). Preden se ubiranje enega para zob v točki Pe konča, mora biti naslednji (sosedni) par zob v točki Pa že v stiku, kar je razvidno iz slike 2.The subject of the invention is an inward gear pair shown in Fig. 1, comprising an inward gear (1) and an outward gear (2) whose teeth are in contact with a convex-concave fit of the flanks. This fitting of the teeth is conditioned by the “S” shaped box, hence the name. The movement (rotation) is transmitted between the inward gear (1) with the teeth turned in the center direction and the outward gear (2) with the teeth facing in the opposite direction - outwards. It can be described by the speeds of kinematic circles (3) and (4), which must be the same, and their kinematic axis goes through point C. In the case where the rotation is transmitted from the outward gear (2) to the inward (1) in the clockwise direction direction, the gear wheel rotates about the O 2 axis in the direction indicated by the arrow (8) and the driven gear around the Oi axis in the direction indicated by the arrow (7). Then the tooth contact at the point P and the transfer of forces at this point through the slide (5). Harvesting starts at the start point (A), goes beyond the point (C) and ends at the end point of the harvest (E). To transfer the load when rotating in the opposite direction, there is a contact between the teeth after the bar (6). Before the harvesting of one pair of teeth at point Pe ends, the next (adjacent) pair of teeth at point Pa must already be in contact, as can be seen in Figure 2.

Področje uporabe in jedro problemaScope and core of the problem

Navznotrnje zobniške dvojice spadajo v področje strojnih elementov in v ožje področje zobniških prenosnikov. Uporabljajo se za planetne prenosnike od največjih do najmanjših dimenzij, praviloma so sestavni del avtomatskih avtomobilskih menjalnikov, uporabljajo se za prenos moči v robotiki, uporabne so za oljne zobniške črpalke za mazanje motorjev z notranjim zgorevanjem itd.Inside gear pairs fall within the area of machine elements and the narrower gearbox area. They are used for planetary gearboxes from the largest to the smallest dimensions, as a rule they are an integral part of automatic gearboxes, they are used for power transmission in robotics, they are useful for oil gear pumps for lubrication of internal combustion engines, etc.

Splošno znani in uporabljani navznotrnji zobniški pari imajo praviloma za vsa področja evolventno obliko zob. Tudi evolventne navznotrnje zobniške dvojice imajo konkavno-konveksno prileganje bokov zob, vendar je njihov srednji krivinski radij na začetku ubiranja (znotraj kotalnih krogov) majhen, zato je specifična obremenitev v dotikališčih zobnih bokov tega območja večja, večji je specifični zdrs, mazanje je slabše, zato je trenje večje in večja je tudi obraba.Commonly known and used inward gear pairs generally have an evolutionary tooth shape for all areas. Also, the evolutionary inward gear pairs have a concave-convex fitting of the flanks of the teeth, but their median curvature radius is small at the start of harvesting (within rolling circles), so the specific load in the flanks of the flanks of the area is greater, the greater the specific slip, the lubrication is worse, therefore, the friction is greater and the wear is greater.

Glavni problemi vseh zobniških prenosnikov, med njimi tudi tistih, ki uporabljajo navznotrnje zobniške pare, so zdržljivost glede zlomov, zdržljivost bokov zob na jamičenje, na obrabo in energetske izgube zaradi trenja. Med pomembne sodobne probleme vseh zobniških prenosnikov štejemo tudi hrupnost, ki jo prenosniki povzročajo pri prenašanju moči.The main problems of all gears, including those that use inward gear pairs, are fracture toughness, flank endurance, wear, and friction energy losses. Important modern problems of all gearboxes include the noise that the gearboxes make when transmitting power.

Podrobne opise navznotrnjih zobniških dvojic najdemo v obširni literaturi s področja strojnih elementov npr. :Detailed descriptions of inward gear pairs can be found in the extensive literature in the field of machine elements, e.g. :

- Niemann, G., VVinter, H.: Maschinenelemente Bd.ll, Springer Verlag, Berlin, Heidelberg, NewYork 1989;- Niemann, G., Winter, H.: Maschinenelemente Bd.ll, Springer Verlag, Berlin, Heidelberg, NewYork 1989;

- Tovvnsed, D.P.: Dudley's Gear Handbook, McGraw-Hill, New York 1992;- Tovvnsed, D. P.: Dudley's Gear Handbook, McGraw-Hill, New York 1992;

- Dudley, D.W.: Practical Gear Design, Technomic Publishing Co., Lanchaster, Basel 1994- Dudley, D.W.: Practical Gear Design, Technomic Publishing Co., Lanchaster, Basel 1994

- in druge.- and others.

Opis nove rešitveDescription of the new solution

Izum bo opisan na izvedbenem primeru s slikama, ki prikazujeta:The invention will be described by way of example with pictures showing:

1. Navznotrnja zobniška dvojica, sestavljena iz navznotrnjega in navzvenskega zobnika (slika 1)1. Inner gear pair consisting of an inner and outer gear (Figure 1)

2. Detajl iz slike 1, ki prikazuje potek ubirnice in dve dotikališči zob gonilnega in gnanega zobnika (slika 2)2. The detail of Figure 1, which shows the course of the track and the two points of contact of the gear and driven gear teeth (Figure 2)

Bistvo nove rešitve je taka oblika bokov zob navznotrnjega in navzvenskega zobnika, da imajo boki zob pri prenašanju gibanja in obremenitve na daljšem delu ubirnice konkavno-konveksen dotik, kot ga kaže slika 2 v točkah (PA) in (Pe). To pomeni, da ima v dotikališču zob bok enega zoba konkavno (vbočeno) obliko, njegov par pa konveksno (izbočeno) obliko. Konkavno-konveksen dotik bokov zob omogoča večjo dotikalno površino, zato je specifična obremenitev bokov manjša in je zdržljivost takih zobnikov večja. Tako prileganje bokov je tudi pri evolventnih navznotrnjih zobniških dvojicah, vendar se pri takih zobnikih, posebej, če je število zob navzvenskega zobnika majhno, pojavi v območju bokov zob znotraj kotalnih krogov čisto drsenje, dolžina ubirnice na tem območju je krajša, zato je manjša tudi površina bokov zob, preko katerih se prenašata gibanje in obremenitev v tem odseku. To pomeni, da so boki zob evolventnih zobnikov v območju aktivnega dotikanja bolj podvrženi obrabi, kot pa so boki zob pri naši rešitvi, pri kateri sta aktivna dela obeh bokov skoraj enako dolga. Aktiven del boka navznotrnjega zobnika je na sliki 2 označen z (11) in aktiven del boka navzvenskega zobnika z (12). Pri novi obliki zob je med boki zob pri prenašanju gibanja sorazmerno manj drsenja in več kotaljenja, zato so torne izgube manjše.The essence of the new solution is the shape of the flanks of the teeth of the inner and outer gears, so that the flanks of the teeth have a concave-convex touch when transferring motion and load over the longer section of the bar, as shown in Figure 2 in points (P A ) and (Pe). This means that at the tooth contact, the flank of one tooth has a concave (convex) shape and its pair has a convex (convex) shape. The concave-convex touch of the flanks of the teeth allows a larger contact surface, so the specific load on the flanks is lower and the endurance of such gears is greater. Such flank alignment is also true for evolutionary inward gear pairs, but in such gears, especially if the number of gear teeth is small, a clear slip occurs in the flanks of the flanks within the rolling circles, and the length of the bar in the area is shorter and therefore smaller the surface of the flanks of the teeth through which movement and loading in this section are transmitted. This means that the flanks of the teeth of evolutionary gears in the area of active touch are more subject to wear than the flanks of the teeth in our solution, in which the active parts of both flanks are almost equally long. The active part of the inner gear side is indicated by (11) in Figure 2 and the active part of the outer gear side by (12). With the new tooth shape, there is relatively less slippage and more rolling between the flanks of the teeth, thus reducing friction losses.

Konkavno-konveksen dotik bokov zob je v našem primeru pogojen s tako ubirnico, ki je ukrivljena po vsej dolžini ubiranja in je v povečanem merilu prikazana na sliki 2. Ta ubirnica je sestavljena iz dveh ukrivljenih delov in sicer se prvi del razteza od točke (A), kjer je začetek ubiranja, do kinematičnega pola (C), kjer je prevojna točka. Drugi del pa poteka od točke (C) do točke (E), kjer se ubiranje konča. Ubirnica (5), prikazana na slikah 1 in 2, zadošča pogojem prenašanja moči pri izbrani smeri vrtenja desnemu boku zoba navznotrnjega zobnika in levemu boku zoba navzvenskega zobnika. Simetrična ubirnica (6) ustreza prenašanju moči po levemu boku navznotrnjega zobnika in desnemu boku navzvenskega zobnika.The concave-convex contact of the flanks of the teeth is conditioned in our case by such a girder, which is curved over the entire length of the gully and is shown in magnified scale in Figure 2. This girder consists of two curved parts, namely, the first part extends from the point (A ), where the start of picking is, to the kinematic pole (C), where the turning point is. The second part goes from point (C) to point (E), where harvesting ends. The bushing (5) shown in Figures 1 and 2 satisfies the conditions of power transfer in the selected direction of rotation of the right flank of the tooth of the inward gear and the left flank of the tooth of the outward gear. The symmetrical slider (6) corresponds to the transfer of power down the left flank of the inward gear and the right flank of the outward gear.

Splošna definicija ubirnice izhaja iz zakona o obliki zob, po katerem velja, da pripada vsaki točki (P) na ubirnici (slika 2) taka oblika bokov zob na navznotrnjemu zobniku in taka oblika bokov zob na navzvenskemu zobniku, da skupna normala “n“ v tej točki, poteka skozi kinematski pol (C). To pomeni, da pripada tudi vsaki obliki ubirnice njej lastna oblika zob.The general definition of a girder derives from the Tooth Shape Act, according to which each point (P) on the girder (Figure 2) is said to be such a form of flanks on the inward gear and such a flank of teeth in the outlet gear that the common normal "n" in at this point, it passes through the kinematic pole (C). This means that every shape of the box also has its own tooth shape.

Ubirnica S ozobja, ki je v povečanem merilu narisana na sliki 2 in v taki legi, ko en par bokov zob v točki PE neha ubirati, poteka od začetne točke A, preko kinematičnega pol C, do izhodne točke E. Sestavljena je iz dveh enakih delov A-C in C-E, ki sta polsimetrična in zasukana, tako da ležita točki A in E glede na kinematični pol C diametralno. Tangenta na ubirnico v kinematičnem polu (C) tvori glede na srednjico (9) kot ac = 20°±2°. Ukrivljenost ubirnice v posamezni točki, ki je definirana kot recipročna vrednost pripadajočega krivinskega polmera, mora zvezno naraščati od točke (C) do točke (E) in na drugi strani do točke A, najmanjša ukrivljenost ubirnice in največji krivinski polmer je v točki (C) največja ukrivljenost in najmanjši krivinski polmer pa je v točkah (A) in (E). Krivinsko središče ubirnice v točki (E) leži na črti E-C, pripadajoči krivinski polmer pa mora biti enak ali manjši od razdalje E-C. Lega začetne točke (E) je določena z njeno pravokotno razdaljo (ζ) od srednjice koles (9) in z vzporedno razdaljo (ξ) od srednjice koles (10). Razdalja (C) je praviloma enaka vrednosti modula, vzporedna razdalja (ξ) pa je pogojena s kotom aE, ki je 38° ±1°.Slot S of the tooth, which is drawn on an enlarged scale in Figure 2 and in such a position that when one pair of flanks stops at point P E , it proceeds from the starting point A, through the kinematic pole C, to the exit point E. It consists of two equal parts AC and CE, which are semi-symmetrical and rotated so that points A and E lie with respect to the kinematic pole C diametrically. The tangent to the slider in the kinematic pole (C) forms with respect to the center line (9) as ac = 20 ° ± 2 °. The curvature of the track at an individual point, which is defined as the reciprocal of the corresponding radius of curvature, must continuously increase from point (C) to point (E) and, on the other hand, to point A, the minimum curvature of the track and the greatest curvature radius is at point (C) the maximum curvature and minimum curvature radius are at points (A) and (E). The curvature center of the pick-up point (E) lies on the EC line and the corresponding curvature radius must be equal to or less than the EC distance. The position of the starting point (E) is determined by its perpendicular distance (ζ) from the center of the wheels (9) and by a parallel distance (ξ) from the center of the wheels (10). The distance (C) is generally equal to the value of the module, and the parallel distance (ξ) is conditioned by the angle a E , which is 38 ° ± 1 °.

Prednost izuma je konkavno-konveksno prileganje bokov zob kot kaže npr. za točko (PA) ali točka (PE) slika 2. Konkavno konveksno prileganje je po vsej dolžini ubirnice od točke (A) do točke (E), razen v območju kinematičnega pola (C), kjer se ukrivljenost ubirnice prevesi, na tem mestu je prileganje bokov konveksnokonveksno. Konkavno-konveksno prileganje bokov zob omogoča manjšo specifično obremenitev bokov zob, zato so navznotrnje zobniške dvojice s polsimetrično in progresivno ukrivljeno ubirnico bolj zdržljive, imajo boljše pogoje za mazanje, zato je obraba bokov zob manjša in izkoristek pri prenašanju vrtenja in moči boljši. Prednost izuma je še v tem, da je aktivna dolžina boka navznotrnjega zobnika (11) skoraj enaka aktivni dolžini boka navzvenskega zobnika (12), kar pomeni, da se gibanje med boki zob vrši bolj s kotaljenjem in manj z drsenjem.An advantage of the invention is the concave-convex fitting of the flanks of the teeth as shown e.g. after point (P A ) or point (P E ) Figure 2. A concave convex fit is the entire length of the track from point (A) to point (E), except in the area of the kinematic pole (C) where the curvature of the track is curved, at here the flank fit is convex convex. The concave-convex fitting of the flanks of the teeth allows a smaller specific load on the flanks of the teeth, which makes the inward gear pairs with semi-symmetrical and progressively curved gearbox more durable, have better lubrication conditions, and therefore the wear of the flanks of the teeth is lower and the yield of rotation is better. An advantage of the invention is that the active side length of the inner gear (11) is almost equal to the active length of the outer gear side (12), which means that the movement between the flanks of the teeth is made more by rolling and less by sliding.

Pomembna prednost izuma je še, da je prileganje konkavno konveksnim bokov vsakega para zob zelo konformno, kar pri mazanih in natančno izdelanih zobnikih zaradi debelejšega oljnega sloja omogoča, da obremenitev zob postopno narašča, zato je prenos obremenitve z enega para zob na drugega bolj mehak in tek takih zobnikov je mirnejši in manj hrupen.An important advantage of the invention is that the fitting of the concave convex flanks of each pair of teeth is very conformal, which allows the tooth load to gradually increase in the case of lubricated and precision gears due to the thicker oil layer, so that the transfer of load from one pair of teeth to another is softer and the running of such gears is quieter and less noisy.

Claims (2)

PATENTNA ZAHTEVKAPATENT APPLICATION 1. Navznotrnja zobniška dvojica z S-ozobjem je označena s tem, da sta ubirnici (5) in (6), ki pripadata ubirajočemu paru zob navznotrnjega in navzvenskega zobnika, polsimetrični, progresivno ukrivljeni začenši v kinematičnem polu (C) kjer je ukrivljenost najmanjša pa do začetne točke ubiranja (A), oziroma do končne točke ubiranja (E), kjer je ukrivljenost največja, da imata ti ubirnici obliko črke “S“, da oklepa tangenta (t) na ubirnico v kinematičnem polu (C) s srednjico zobnice (9) kot (Xc = 20°±2°, začetna točka ubiranja (A) in končna točka ubiranja (E) sta praviloma oddaljeni od srednjice zobnice (9) za vrednost modula in je njuna razdalja od vertikalne srednjice zobnikov (10) pogojena s kotom (Xe= 38°±1°, ki ga oklepata daljica E-C ali na drugi strani daljica A-C s srednjico zobnice (9).1. The inward gear pair with S-gear is characterized by the fact that the slots (5) and (6) belonging to the gearing pair of gears of the inner and outer gears are semi-symmetrical, progressively curved starting at the kinematic pole (C) where the curvature is smallest to the starting point (A) or to the end point (E), where the curvature is greatest, so that these bars have the shape of the letter "S" to enclose the tangent (t) to the box in the kinematic pole (C) with the center of the pinion (9) angle (Xc = 20 ° ± 2 °, starting point (A) and end point (E) are, as a rule, spaced from the center of the gear (9) by the value of the module and their distance from the vertical center of the gears (10) with an angle (Xe = 38 ° ± 1 °, surrounded by the EC line or, on the other hand, the AC line with the center of the pinion (9). 2. Uporaba navznotrnje zobniške dvojice z S-ozobjem po zahtevku 1 pri zobniških črpalkah je označena s tem, da zobniška črpalka vsebuje funkcionalni par zobnikov (1) in (2), oblikovan v skladu s polsimetrično, progresivno ukrivljeno ubirnico (5) ali (6) po patentnem zahtevku št. 1.2. The use of an S-toothed gear pair according to claim 1 in gear pumps, characterized in that the gear pump comprises a functional pair of gears (1) and (2) formed in accordance with a semi-symmetrical, progressively curved track (5) or ( 6) according to claim no. 1.
SI200400193A 2004-06-29 2004-06-29 Internal gearing pair with s-gearing SI21810A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013026482A1 (en) 2011-08-24 2013-02-28 Hansen Transmissions International Nv Gear transmission system

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013026482A1 (en) 2011-08-24 2013-02-28 Hansen Transmissions International Nv Gear transmission system
US9562601B2 (en) 2011-08-24 2017-02-07 ZF Wind Power Antwerpen N. V. Gear transmission system

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