The involute gear profile is the most commonly used system for gearing today, with cycloid gearing still used for some specialties such as clocks. In an involute gear, the profiles of the teeth are involutes of a circle. The involute of a circle is the spiraling curve traced by the end of an imaginary taut string unwinding itself from that stationary circle called the base circle, or (equivalently) a triangle wave projected on the circumference of a circle. The angular velocity ratio between two gears of a gearset must remain constant throughout the mesh.
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| - Evolventní ozubení (cs)
- Evolventenverzahnung (de)
- Engranaje evolvente (es)
- Involute (fr)
- Involute gear (en)
- インボリュート歯車 (ja)
- Эвольвентное зацепление (ru)
- 漸開線齒輪 (zh)
- Евольвентне зачеплення (uk)
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| rdfs:comment
| - Evolventní ozubení je s obrovskou převahou nejčastěji používaný typ ozubení. Činná část boku zubu má tvar evolventy. (cs)
- Die Evolventenverzahnung ist eine von mehreren Verzahnungsarten für Zahnräder. Sie ist die bedeutendste Verzahnungsart im Maschinenbau. Die Evolventenform erfüllt die geometrischen Anforderungen an die Zahnflankengeometrie aus dem Verzahnungsgesetz: Die gemeinsame Normale (Senkrechte) der beiden Zahnprofile (Kurven) geht in jedem möglichen Berührungspunkt immer durch den Wälzpunkt C (siehe Abbildung 3), der die Verbindungslinie zwischen den Drehpunkten der beiden Zahnräder im umgekehrten Verhältnis der Winkelgeschwindigkeiten teilt. (de)
- El perfil de engranaje evolvente es el sistema actualmente más utilizado en el diseño de engranajes, junto con el engranaje cicloide todavía utilizado para algunas especialidades, como los relojes. En un engranaje evolvente, los perfiles de los dientes son las evolventes de una circunferencia. La evolvente de una circunferencia es la curva espiral trazada por el extremo de una cuerda tensa imaginaria que se desenrolla de la circunferencia estacionaria llamada circunferencia base. (es)
- La fonction involute (souvent abrégé en inv) est une fonction couramment utilisée pour le taillage des engrenages. (fr)
- インボリュート歯車は、歯車、特に平歯車および斜歯（はすば）歯車において、歯の軸と直交する断面の形状をインボリュート曲線としたもので、いくつかの良い特性があることから、近年では他の曲線の歯車に比べ機械製品で最も多く使われる。レオンハルト・オイラーの発案による 。 (ja)
- Эвольвентное зацепление — зубчатое зацепление, в котором профили зубьев очерчены по эвольвенте окружности. Позволяет передавать движение с постоянным передаточным отношением. Для этого необходимо чтобы зубья зубчатых колёс были очерчены по кривой, у которой общая нормаль, проведённая через точку касания профилей зубьев, всегда проходит через одну и ту же точку на линии зацепления, называемую полюсом зацепления. (ru)
- Евольвентне зачеплення (англ. Involute gear) - зубчасте зачеплення, в якому профілі зубів виконані по евольвенті кола, що дозволяє передавати рух з постійним передавальним відношенням. (uk)
- 渐开线齿轮是齿形由渐开线和过渡线组成的齿轮，是机械工程应用中最重要的啮合方式。 渐开线齿轮在機械設計上有一大優點：渐开线齿轮的齒形只和齒數（z）、壓力角（α）及節距（pitch）有關。渐开线齿轮的齒形和與其嚙合的齿轮無關。二個相同壓力角及節距的齿轮一定可以嚙合。不受個別齒數為n和m的影響。因此可以大幅減少齿轮庫存的種類。 (zh)
- The involute gear profile is the most commonly used system for gearing today, with cycloid gearing still used for some specialties such as clocks. In an involute gear, the profiles of the teeth are involutes of a circle. The involute of a circle is the spiraling curve traced by the end of an imaginary taut string unwinding itself from that stationary circle called the base circle, or (equivalently) a triangle wave projected on the circumference of a circle. The angular velocity ratio between two gears of a gearset must remain constant throughout the mesh. (en)
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| - Evolventní ozubení je s obrovskou převahou nejčastěji používaný typ ozubení. Činná část boku zubu má tvar evolventy. (cs)
- Die Evolventenverzahnung ist eine von mehreren Verzahnungsarten für Zahnräder. Sie ist die bedeutendste Verzahnungsart im Maschinenbau. Die Evolventenform erfüllt die geometrischen Anforderungen an die Zahnflankengeometrie aus dem Verzahnungsgesetz: Die gemeinsame Normale (Senkrechte) der beiden Zahnprofile (Kurven) geht in jedem möglichen Berührungspunkt immer durch den Wälzpunkt C (siehe Abbildung 3), der die Verbindungslinie zwischen den Drehpunkten der beiden Zahnräder im umgekehrten Verhältnis der Winkelgeschwindigkeiten teilt. (de)
- The involute gear profile is the most commonly used system for gearing today, with cycloid gearing still used for some specialties such as clocks. In an involute gear, the profiles of the teeth are involutes of a circle. The involute of a circle is the spiraling curve traced by the end of an imaginary taut string unwinding itself from that stationary circle called the base circle, or (equivalently) a triangle wave projected on the circumference of a circle. The involute gear profile was a fundamental advance in machine design, since unlike with other gear systems, the tooth profile of an involute gear depends only on the number of teeth on the gear, pressure angle, and pitch. That is, a gear's profile does not depend on the gear it mates with. Thus, n and m tooth involute spur gears with a given pressure angle and pitch will mate correctly, independently of n and m. This dramatically reduces the number of shapes of gears that need to be manufactured and kept in inventory. In involute gear design, contact between a pair of gear teeth occurs at a single instantaneous point (see figure at right) where two involutes of the same spiral hand meet. Contact on the other side of the teeth is where both involutes are of the other spiral hand. Rotation of the gears causes the location of this contact point to move across the respective tooth surfaces. The tangent at any point of the curve is perpendicular to the generating line irrespective of the mounting distance of the gears. Thus the line of the force follows the generating line, and is thus tangent to the two base circles, and is known as the line of action (also called pressure line or line of contact). When this is true, the gears obey the fundamental law of gearing: The angular velocity ratio between two gears of a gearset must remain constant throughout the mesh. This property is required for smooth transmission of power with minimal speed or torque variations as pairs of teeth go into or come out of mesh, but is not required for low-speed gearing. Where the line of action crosses the line between the two centres, it is called the pitch point of the gears, where there is no sliding contact. The distance actually covered on the line of action is then called line of contact. The line of contact begins at the intersection between the line of action and the addendum circle of the driven gear and ends at the intersection between the line of action and the addendum circle of the driving gear. The pressure angle is the acute angle between the line of action and a normal to the line connecting the gear centers. The pressure angle of the gear varies according to the position on the involute shape, but pairs of gears must have the same pressure angle in order for the teeth to mesh properly, so specific portions of the involute must be matched. While any pressure angle can be manufactured, the most common stock gears have a 20° pressure angle, with 14½° and 25° pressure angle gears being much less common. Increasing the pressure angle increases the width of the base of the gear tooth, leading to greater strength and load carrying capacity. Decreasing the pressure angle provides lower backlash, smoother operation and less sensitivity to manufacturing errors. Most common stock gears are spur gears, with straight teeth. Most gears used in higher-strength applications are helical involute gears where the spirals of the teeth are of different hand, and the gears rotate in opposite direction. Only used in limited situations are helical involute gears where the spirals of the teeth are of the same hand, and the spirals of the two involutes are of different "hand" and the line of action is the external tangents to the base circles (like a normal belt drive whereas normal gears are like a crossed-belt drive), and the gears rotate in the same direction, such as can be used in limited-slip differentials because of their low efficiencies, and in locking differentials when the efficiencies are less than zero. (en)
- El perfil de engranaje evolvente es el sistema actualmente más utilizado en el diseño de engranajes, junto con el engranaje cicloide todavía utilizado para algunas especialidades, como los relojes. En un engranaje evolvente, los perfiles de los dientes son las evolventes de una circunferencia. La evolvente de una circunferencia es la curva espiral trazada por el extremo de una cuerda tensa imaginaria que se desenrolla de la circunferencia estacionaria llamada circunferencia base. (es)
- La fonction involute (souvent abrégé en inv) est une fonction couramment utilisée pour le taillage des engrenages. (fr)
- インボリュート歯車は、歯車、特に平歯車および斜歯（はすば）歯車において、歯の軸と直交する断面の形状をインボリュート曲線としたもので、いくつかの良い特性があることから、近年では他の曲線の歯車に比べ機械製品で最も多く使われる。レオンハルト・オイラーの発案による 。 (ja)
- Эвольвентное зацепление — зубчатое зацепление, в котором профили зубьев очерчены по эвольвенте окружности. Позволяет передавать движение с постоянным передаточным отношением. Для этого необходимо чтобы зубья зубчатых колёс были очерчены по кривой, у которой общая нормаль, проведённая через точку касания профилей зубьев, всегда проходит через одну и ту же точку на линии зацепления, называемую полюсом зацепления. (ru)
- Евольвентне зачеплення (англ. Involute gear) - зубчасте зачеплення, в якому профілі зубів виконані по евольвенті кола, що дозволяє передавати рух з постійним передавальним відношенням. (uk)
- 渐开线齿轮是齿形由渐开线和过渡线组成的齿轮，是机械工程应用中最重要的啮合方式。 渐开线齿轮在機械設計上有一大優點：渐开线齿轮的齒形只和齒數（z）、壓力角（α）及節距（pitch）有關。渐开线齿轮的齒形和與其嚙合的齿轮無關。二個相同壓力角及節距的齿轮一定可以嚙合。不受個別齒數為n和m的影響。因此可以大幅減少齿轮庫存的種類。 (zh)
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