Name: double-collar bearing torque calculations
Uploaded: 2023-09-22T11:49:30.000Z
Duration: 1 min 24 s
Channel: JoVE

穴の半径が20ミリメートルで、軸方向の力が5キロニュートンのダブルカラーベアリングを考えてみましょう。
半径 40 mm のカラー A は 75% の力を支え、半径 30 mm のカラー B は 25% の力を支えます。両方のカラーは圧力を均一に分散します。
両方のカラーの静摩擦係数が0.3の場合、ベアリングが抵抗できる最大摩擦モーメントを計算します。
必要な最大摩擦モーメントの式を思い出してください。両方のカラーによって支えられる力の値を再配置して代入することにより、最大摩擦モーメントを決定できます。
次に、ベアリングに15キロニュートンの軸力を加えて構成を変更します。摩擦を克服するために必要な最小トルクを決定します。
摩擦モーメント方程式を使用し、値を代入すると、摩擦力によって生じる両方のカラーのモーメントを決定できます。
z軸の周りのモーメントの合計をゼロに等しくし、既知の値を代入することにより、必要な最小トルクを決定できます。

<ol>
	<li>ヒベラー、RC(2016)。エンジニアリングメカニクス \u2012 静力学と力学。 ニュージャージー州ホーボーケン:ピアソンプレンティスホール。454ページ。</li>
</ol>

ベアリング：問題解決

Bearings: Problem Solving

二重ベアリングに関連する計算と概念を理解することは、エンジニアや設計者にとって重要です。これにより、さまざまな用途でこれらの部品の性能を最適化することができます。ベアリングを異なる条件下で分析することで、運転中に経験する力とモーメントに耐えることができます。この知識により、特定の目的と構成に適したベアリングを設計および選択する際に、より良い意思決定ができます。特定の寸法と軸力がかかった二重襟ベアリングを考えてみましょう。

<img alt="Figure 1" src="/files/ftp_upload/14327/14327_PT_Figure_1v2.svg" style="text-align: center; height: 400px;" />

二重ベアリングが耐えることができる最大摩擦モーメントを求めるためには、次の式を使用します。

<img alt="Equation 1" src="/files/ftp_upload/14327/14327_PT_Equation_1v2.svg" style="text-align: center; height: 39px;" />

最大摩擦モーメントは、式を再配列して両方の襟で受けられる力の値を代入することで計算できます。

二重ベアリングにかかる軸力が増加するシナリオを考えます。摩擦を克服するために必要な最小トルクを求めるには、まず摩擦力による襟ごとのモーメントを摩擦モーメントの式を使用して計算し、値を代入します。

<img alt="Equation 2" src="/files/ftp_upload/14327/14327_PT_Equation_2v2.svg" style="text-align: center; height: 39px;" />

<img alt="Equation 3" src="/files/ftp_upload/14327/14327_PT_Equation_3v2.svg" style="text-align: center; height: 39px;" />

 次に、z軸周りのモーメントの合計をゼロに設定し、既知の値を代入します。変更された構成で摩擦を克服するために必要な最小トルクを評価することができます。

<img alt="Equation 4" src="/files/ftp_upload/14327/14327_PT_Equation_4v2.svg" style="text-align: center; height: 13px;" />

ダブルカラーベアリングに関連する計算と概念を理解することは、エンジニアや設計者がパフォーマンスを最適化するために不可欠です...

Education

JoVE Core

Mechanical Engineering

機械工学

Unit 1

ユニット1

Friction

摩擦

KEY TERMS AND CONCEPTS

主要用語と概念

double-collar bearing torque calculations

Double-collar bearing torque calculations show how friction and axial force affect bearing performance. Engineers use these calculations to test whether the bearing can handle the forces and moments it experiences during operation. This helps them choose and design bearings for specific applications and setups.

For a double-collar bearing with set dimensions and an axial force applied, the maximum frictional moment can be found with a standard expression. The equation is rearranged, and the forces supported by both collars are substituted into it. This gives the greatest frictional moment the bearing can withstand under that condition.

The same method also helps when the axial force on the double-collar bearing increases. First, the frictional moment for each collar is calculated from the frictional force equations. Then the moments about the z-axis are set equal to zero, and the known values are substituted. From this, the minimum torque needed to overcome the friction in the modified case can be determined.

Double-Collar Bearing Torque Calculations

double-collar-bearing-torque-calculations

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bearings: problem solving

Double-collar bearing torque calculations show how friction and axial force affect bearing performance. Engineers use these calculations to test whether the bearing can handle the forces and moments it experiences during operation. This helps them choose and design bearings for specific applications and setups. For a double-collar bearing with set dimensions and an axial force applied, the maximum frictional moment can be found with a standard expression. The equation is rearranged, and the...

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key terms and concepts

Learn how frictional moment and axial force are used to solve double-collar bearing problems, including maximum moment and minimum torque calculations.

Double-Collar Bearing Torque Calculations | JoVE K12

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mechanical engineering

Double-Collar Bearing Torque Calculations

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