Conical Gear Research Articles

507 自動車用転位高歯コニカルギヤの基礎研究 : 第5報 ヘリカルギヤとかみ合う転位高歯コニカルギヤの歯当たり検証(設計工学,その他)

507 自動車用転位高歯コニカルギヤの基礎研究 : 第5報 ヘリカルギヤとかみ合う転位高歯コニカルギヤの歯当たり検証(設計工学,その他)

3137 コニカルギヤの3次元歯面形状解析(S34-4 伝動装置の基礎と応用(4) 歯車の形状解析,ラック&ピニオン,その他,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

3137 コニカルギヤの3次元歯面形状解析(S34-4 伝動装置の基礎と応用(4) 歯車の形状解析,ラック&ピニオン,その他,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

On the Invariance of Gear Tooth Curvature

A method is presented for the determination of the principal curvatures along with their principal directions of two gear teeth in direct contact. The procedure used to determine these extreme curvatures and directions is based on the nominal position of contact. Moreover, these extreme curvatures and directions are invariant with tooth type (viz. involute and cycloidal) and manufacturing process. Such curvatures and directions depend on the instantaneous pressure angle, spiral or helix angle, and position of contact. This generalized method is applicable to cylindrical gears (spur and helical), conical gears (straight and spiral), as well as hyperboloidal gears (hypoid and worm). Three examples are included to illustrate the determination of principal curvatures and directions. The first example is a helical gear pair, the second is a spiral bevel gear pair, and the third example is a hypoid gear pair.

2219 自動車用転位高歯コニカルギヤの基礎研究 : 第3報,転位高歯コニカルギヤの製作法(OS1-10 コニカルギヤ)

The design and production system of the standard conical involute gear has been developed. But the addendum modified conical involute gear with deep tooth depth is not studied in detail. We had reported a new design method for profile shifted conical gear. Now, a production system for the addendum modified conical gear with deep tooth depth is shown in this paper. A profile shifted conical gear production is same system as a conventional conical gear production, exept the calculation of the horizontal feed and the spacewidth angle on base circle. Several typical test gears are manufactured. As a result, the tooth profile of the manufactured tested gears are in good agreement with the theoretical one. Thus, it is proven that this production system has the applicability.

2218 平歯車とかみ合う内歯コニカルギヤの設計法(OS1-10 コニカルギヤ)

In this study, we call an internal gear having conical angle as the internal conical gear. In the case of conjugating with spur gear, this gear can transmit rotational motion between intersecting shafts. Also in the case of conjugating with conical gear, there is possibility of adjusting backlash by axial movement. Therefore, as a first step of the study we obtain theoretical tooth surface of the internal conical gear cut by gear shaper. Next we measured tooth surface of the test gears and compared them with theoretical one. Finally the tooth-bearing test confirms that theoretical analyses holds true.

Design and Production System of a Pair of Nonintersecting-Nonparallel Axis Concave Conical Gears

Conical involute gears used for marine transmission are mostly helical conical involute gears. Besides these gears are not intersecting axis gears but also nonintersecting-nonparallel axis gears. In this case, the contact between tooth surfaces of a pair of gears is point contact. Hence the tooth surface durability is generally small. In order to overcome this weak point, one of the authors invented a new type of conical gear, which is called “Concave conical gear”. The authors are aimed at the establishment of the design and production system of the Concave conical gears for marine transmissions. In this paper, an allowable normal load of a pair of nonintersecting-nonparallel axis concave conical gear is obtained, and a new designing method for these gears is presented. Tooth bearing tests prove that the Heltzian contact ellipse is larger than that of the conventional conical involute gear. Thus it is proved that this designing method is of practical use.

2217 ねじ状工具によるヘリカルコンケーブコニカルギヤの創成法(OS1-9 加工)

The purpose of this research aims at practical use of the concave conical gear. Tool to generate concave conical gear is not a straight rack but also a conical-shaped wheel. This conical-shaped wheel is realized imaginarily, and this is called a "imaginary conical-shaped wheel". In this paper, first the characteristic of involute hob is demonstrated, and the hob helicoid is defined. This imaginary conical-shaped wheel is obtained as enveloping surface of the hob helicoid in anti-crowning motion. Secondly, the hobbing method for helical concave conical gear is developed, based on the generating method. Finally the helical concave conical gears are made for trial. Tooth surface of the test gears are measured and compared with theoretical ones. Both tooth surfaces are in good agreement.

Tooth Action and Tooth Bearing of a Pair of Nonintersecting-nonparallel Axis Conical Involute Gear

Conical involute gears used for marine transmission are mostly helical conical involute gears. Besides these gears are not intersecting axis gears but also nonintersecting-nonparallel axis gears. In this case the contact between tooth surfaces of a pair of gears is point contact. Hence the tooth surface durability is generally small. This research aims at the establishment of the design and production system of the Concave conical gears for marine transmissions. First the gear tooth action of a pair of nonintersecting-noparallel axis gears is analyzed. Secondly, test gears are made and tooth bearing test are proves. Tooth bearing marks are in good agreement with the theoretical ones.

706 有限要素法によるコニカルギヤ歯面の接触応力解析(GS-13 歯車,CVT)

706 有限要素法によるコニカルギヤ歯面の接触応力解析(GS-13 歯車,CVT)

Today and Tomorrow of Conical Gear

This paper presents the research and development of conical gear for more than 25 years, many applications, and a new possibility for tomorrow. Now that the design and production method has been developed, the conical gear came to be used in a wide range of applications. This paper first presents the outline of the design and production system. Secondly it introduces many applications. Finally, it discusses a new type of conical gear called "Concave conical gear", and presents a new possibility of conical gear for tomorrow , by showing practical uses for vehicle transmissions.

Hobbing of Concave Conical Gear

A concave conical gear is a new type of a conical gear. The concave conical gear has higher tooth durability than the conventional conical gear. So the concave conical gear has the possibility to be used instead of the bevel gear. However, the cutting method of this gear has not been developed so far. This research presents a new hobbing method to cut the concave conical gear correctly. Test gears are cut and measured, and it is proven that the new hobbing method has practical utility in producing the concave conical gear.

Designing Method of Concave Conical Gear by Gear Shaper (2nd Report, Principal Normal Radii, Allowable Normal load, and Design of a Pair of Gears)

Theoretically, the contact between tooth surfaces of a pair of conical involute gears is the point contact. Hence the tooth surface durability is generally small. “Concave conical gear” was invented in order to overcome this weak point. The 1st report proves that this gear can be cut by tilt-type gear shaper. In this paper, first the principal normal radii at the pitch point are obtained. Secondly, an allowable normal load of a pair of concave conical gears that cut by this method is obtained, which could be larger than that of a pair of conical involute gears. Finally, the designing method of a pair of concave conical gears cut by this method is presented.

Cutting Method of Concave Conical Gear by Shaper (1st Report, Theory of Generated Tooth Surface)

Cutting Method of Concave Conical Gear by Shaper (1st Report, Theory of Generated Tooth Surface)

転位高歯コニカルギヤの基礎研究 : 第2報:試作歯車の設計・製作と歯当たり検証(O.S.08-1 コニカルギヤ・その他)

転位高歯コニカルギヤの基礎研究 : 第2報:試作歯車の設計・製作と歯当たり検証(O.S.08-1 コニカルギヤ・その他)

317 CNCホブ盤によるコンケーブコニカルギヤのホブ切り法(機素潤滑・加工)

317 CNCホブ盤によるコンケーブコニカルギヤのホブ切り法(機素潤滑・加工)

2519 一対の食い違い軸用コンケーブコニカルギヤの設計・製作法

Conical involute gears used for marine transmission are mostly helical conical involute gears. Besides these gears are not intersecting axis gears but also nonintersecting-nonparallel axis gears. In this case the contact between tooth surfaces of a pair of gears is point contact. Hence the tooth surface durability is generally small. In this research is aimed at the establishment of the design and production system of the Concave conical gears for marine transmissions. In this paper, an allowable normal load of a pair of Nonintersecting-Nonparallel axis concave conical gear is obtained, and a new designing method for these gears is presented. Tooth bearing tests prove that the Heltzian contact ellipse is larger than that of the conventional conical gear. Thus it is proved that this designing method is of practical use.

117 コンケーブコニカルギヤのかみ合い率

117 コンケーブコニカルギヤのかみ合い率

2306 コンケーブコニカルギヤのホブ切り法

A concave conical gear is a new type of a conical gear. The concave conical gear has higher tooth durability than the conventional conical gear. So the concave conical gear has the possibility to be used instead of the bevel gear. However, the cutting method of this gear has not been developed so far. This research presents a new hobbing method to cut the concave conical gear correctly. Test gears are cut and measured, and it is proven that the new hobbing method has practical utility in producing the concave conical gear.

Development of Concave Conical Gear Used for Marine Transmissions

Conical involute gears used for marine transmissions are mostly helical ones. These gears are available in the form of not only intersecting axis gears but also nonintersecting-nonparallel axis gears. The contact between tooth surfaces of a pair of gears is the point contact. Tooth surface durability is generally low. In order to overcome this weak point, one of the authors invented a new type of conical gear called “Concave conical gear”. Concave conical gear has higher tooth durability than the conventional conical involute gear. In this paper, a method to generate the helical Concave conical gear is newly developed. First, the principle of the generating method is introduced, and the tooth surface is analyzed theoretically. Second, test gears are ground. Tooth surfaces of the test gears are measured and compared with theoretical ones, and good agreement is observed.

Development of Concave Conical Gear Used for Marine Transmissions

Les pignons a developpante coniques utilises dans les transmissions des moteurs maritimes sont generalement du type helicoidal. De plus, ces pignons ne sont pas du type a axes concourants mais a axes non paralleles et non concourants. Sur ces pignons, le contact a la surface des dents d'une paire de pignon s'effectue exclusivement au point de contact. De ce fait la duree de vie de la surface des dents est generalement breve. Pour tenter de palier ce point de faiblesse, l'un des auteurs a invente un nouveau type de pignon conique appele pignon conique concave. Les pignons coniques concaves ont une plus longue duree de vie que les pignons a developpante coniques traditionnels. Cet article presente la nouvelle de methode de generation des pignons coniques concaves helicoidaux. L'article commence par une presentation du principe de la methode de generation. La surface de dent theorique obtenue par la methode est analysee et les rayons normaux principaux sont mesures en termes de dimensions de base du pignon et de l'outil. Des pignons echantillons sont ensuite usines. La surface des dents des echantillons est alors mesuree et comparee a la valeur theorique. La methode de generation d'un pignon conique concave helicoidal est toutefois theoriquement differente de celle d'un pignon conique concave droit parce que la surface de dents d'un pignon helicoidal obtenue par fraisage et rectifiage aujourd'hui differe de la surface de dents concave ideale.Le point le plus bas de la surface de dents concave n'est plus en particulier au lieu du point de contact de la surface des dents. Pour bien souligner la difference qu'il existe entre la surface pratique et la surface ideale de dents apres usinage, des essais de portee ont ete effectues sur une paire de pignons coniques helicoidaux et une paire de pignons coniques concaves helicoidaux. Les essais montrent que la difference entre la surface pratique et la surface ideale est pratiquement negligeable. D'autres essais permettent de montrer que les pignons coniques concaves helicoidaux presentent une ellipse de contact plus grande que celle des pignons a developpante coniques traditionnels. Les pignons coniques concaves pour les transmissions des moteurs maritimes developpes dans ce travail de recherche presentent une duree de vie de surface plus grande que celle des pignons coniques traditionnels.