� � � � � � Բ � � Ť תgydF4y2Ba

1 Բ 6 � � � � Ť ת � ĸ � � �gydF4y2Ba

Ť ת � � � � TorsiongydF4y2Ba

� � Shaft � � � � � � � � Ť ת � � � epsilon ĸ ˼ � � �gydF4y2Ba

Բ � � Ť תgydF4y2BaTorsional Loads on Circular ShaftsgydF4y2Ba

� � � ̱ � � � Background � �gydF4y2Ba

� � ѧ ģ � � modelgydF4y2Ba

Ť ת � � � �gydF4y2Ba� � � ص 㣺gydF4y2Ba

1) � � � � � ص � � ڸ ˼ � � � � ˴ � ֱ � ڸ � � � � ߵ � ƽ � � � � � � � � һ � Դ � С � � ȣ � � � � � � ෴ � � � � � � ż � �gydF4y2Ba

2) � � � � � ص � � � � � � � � � � � ߷ � � � � � � ת � � � � � � � � Ť ת � � � Ρ �gydF4y2Ba

2 Ť 6 � � � غ � Ť � � ͼgydF4y2Ba

� � � ȼ � � � � � � � � � � � � ϵ � � � � � ż � أ � � ٷ � � � Բ � � � � � � � � � � � � � Ȼ � � � � � � � � Ӧ � � � ͱ � � Σ � � � � � � � � � � ǿ � ȼ � � ն ȼ � � 㡣gydF4y2Ba

6 � � 2 � � 1 � � � � ż � ص ļ � � �gydF4y2Ba

ʽ � У �gydF4y2BaM egydF4y2BaΪ � � � � ż � � Torque � �gydF4y2BaN � � mmgydF4y2Ba� � � �gydF4y2Ba

P Power Ϊ � � � ʣ �gydF4y2BakWgydF4y2Ba� � � �gydF4y2Ba

N Ϊ ת � � Rotational velocity � �gydF4y2BaR � � mingydF4y2Ba� � � �gydF4y2Ba

� � � � � ֵ � � � � 빦 � � � � � � � � � � � � ż � � ת � � � � � � � ת � � � � ͬ � �gydF4y2Ba

� Ӷ � � ֵ � � � � � � � � � � � � � � � � � � ż � � ת � � � � � � � ת � � � ෴ � �gydF4y2Ba

2 Բ 6 � � 2 � � � � Ť ת ʱ � � � � � � � � � � Ť � � the torquegydF4y2Ba

Net � � � � � � � � � � � � � �gydF4y2Ba

� rose Ť � ص � � � � � � � � � � � � � � � � � � �gydF4y2Ba

� � � � � � � � � Ķ � � � � ᣬ � � ָ � � Ť � ص ķ � � � � � � � Ĵ ָ � ķ � � � � 뿪 � � � Quan Ť � � Ϊ � � � � � � ֮ Ϊ � � � �gydF4y2Ba

3 Ť 6 � � 2 � � � � ͼgydF4y2Ba

� � � � � � һ � � � � � � ת � � Me1 � � � � � � Ħ � � � � � � � � � � � � � � � � � Ϊ Me2 � � 2 Me1 � � 3 � � Me3 � � Me1 � � 3 � � � � � � ż � � Me1 � � Me2 � � Me3 � � � �gydF4y2Ba

BC � � � Ϊ AB � � � � Σ � Ӧ � � y � net � � � � � � � � kappa � predominate � � � � Ť � ء �gydF4y2Ba

Ť � � ͼgydF4y2Ba� � � �gydF4y2Ba� � ƽ � � � ڸ � � � � ߵ �gydF4y2BaxgydF4y2Ba� � � � � ʾ � � � � � � lambda. � a � � o � ֱ � �gydF4y2BaxgydF4y2Ba� � � � � � �gydF4y2BaM TgydF4y2Ba� � ʾ � � � � � Ť � ص Ĵ � С � � � 軭 � � � � � � Ť � � � � � � � lambda � n 仯 � � � � � ߡ �gydF4y2Ba

3 Բ 6 � � � � Ť ת ʱ � � � � � � ϵ � Ӧ � � � � ǿ � ȼ � � �gydF4y2Ba

1 Բ 3 6 � � � � � � Ť ת ʱ � � � � � � ϵ � Ӧ � �gydF4y2Ba

  • � � Ť Բ � � � � � � � � � seem � Ӧ � � � �gydF4y2Ba

  • Ӧ � � � � mu � � 㣿gydF4y2Ba

Ӧ � � � � � � � � й أ � � ۲ � � � Σ � Torsion Shaft DeformationgydF4y2Ba

� � С � � � epsilon � � � � � £�gydF4y2Ba

1) � � � � Բ � � � ߵ � � � ״ � � � � С � � Բ � � � � ֮ � � ľ � � � � � ޱ 仯 � � � � Բ � � � � � � � � � � ת � � � ˲ � ͬ � Ľ Ƕ ȡ �gydF4y2Ba

� � 2 � � � � � � � � � � � � � Խ � � Ƶ � Ϊ ֱ � ߣ � ֻ � � ͬ ʱ � � б � � ͬ һ � Ƕ �gydF4y2BaggydF4y2Ba� �gydF4y2Ba

Ť ת � � � epsilon � ƽ � � � � 裺 Բ � � Ť ת ʱ � � � � � � 汣 � � ƽ � Quan � � � � ֻ � � ԭ � ط � � � � � � � ת � � � �gydF4y2Ba

� � ƽ � � � � � Ļ � � � � ϣ � Ť ת � � � &western � � Կ � � � � Ǹ � � � � � � � � � � � ƽ � � һ � � � � � � � � � � � � � � � ת � � � � � ɴ ˿ � � Ե o � � �gydF4y2Ba

� � 1) Ť ת � � � � ʱ � � � � � � Բ � � � � � ں � � � � � ľ � � 벻 � 䣬 � � Բ � � u � � � � � � � � eta � � � � � � � � Ժ � � � � � � u � � � � Ӧ � � � �gydF4y2Ba

� � 2 � � Ť ת � � � � ʱ � � � � � � � � � � ͬ ʱ � � б � � � � ͬ � Ľ Ƕ ȣ � � � � � � � � � � � � � � ת � � � ˲ � ͬ � Ľ Ƕ ȣ � � � � ڽ � � � � � � � � � � � ת � � � � � ໥ � � � � � � � � � ˼ � � б � � Σ � � � � Ժ � � � � � � � � � � Ӧ � � � �gydF4y2Ba

� � � ݾ � � � ƽ � � � � � � � � � Ƶ � � � � � � � � � � � һ � � � � � Ӧ � � � � � 㹫 ʽgydF4y2Ba

ʽ � У �gydF4y2BaT rgydF4y2BaΪ � � � � � � � � � һ � � � � � Ӧ � � � �gydF4y2BaMPagydF4y2Ba� � � �gydF4y2BaMgydF4y2BaTgydF4y2BaΪ � � � � � � ϵ � Ť � أ �gydF4y2BaN the mmgydF4y2Ba� � � � r Ϊ � � � � Ӧ � � � ĵ 㵽 Բ � ĵ ľ � � 루gydF4y2BammgydF4y2Ba� � � �gydF4y2Bai.gydF4y2BargydF4y2BaΪ � � � � � Բ � ĵ ļ � � � � Ծ أ �gydF4y2BammgydF4y2Ba4 � � � �gydF4y2Ba

Բ � � Ť ת ʱ � � � � � � � � Ե � ϸ � � � � � � Ӧ � � � � � (r =gydF4y2BaRgydF4y2Ba) � � � � ֵ ΪgydF4y2Ba

ʽ � У � Wp Ϊ � � Ť � � � � ϵ � � � �gydF4y2BammgydF4y2Ba3 � �gydF4y2Ba

� � � � � Ծ � � 뿹 Ť � � � � ϵ � � � � ʾ � ˽ � � � ļ � � � � � � ʣ � � � � С � � � � � � � � ״ � ͳ ߴ � � й ء �gydF4y2Ba

(1) ʵ � � � � Solid Shaft � � ֱ � � Ϊ D � � � �gydF4y2Ba

(2) � � � � � � Hollow Shaft � � � ⾶ ΪgydF4y2BaDgydF4y2Ba� � � ھ � ΪgydF4y2BadgydF4y2Ba� �gydF4y2Baa.gydF4y2Ba=gydF4y2BadgydF4y2Ba/gydF4y2BaDgydF4y2Ba

2 Բ 3 6 � � � � � � Ť ת ʱ � � ǿ � ȼ � � �gydF4y2Ba

� � � ڽ � � � � ᣬ � � Ϊ � � Ť � � � � ϵ � � W p � � � dz � � � � � � � � � � Ӧ � �gydF4y2BatgydF4y2BaMax � � һ � � � � � � � � � � � Ť � � M Tmax � � � ڵ Ľ � � � � ϡ � Ҫ � ۺ Ͽ � � � Ť � � � M T Ϳ � Ť � � � � ϵ � � W p � � � � � � � � � � � � � � � � ȷ � � � � � � � Ӧ � �gydF4y2BatgydF4y2BaMax � �gydF4y2Ba

4 Բ 6 � � � � Ť ת ʱ � ı � � kappa ͸ predominate ն ȼ � � �gydF4y2Ba

1 Բ 4 � and � � � � � Ť ת ʱ � ı � � �gydF4y2BaTorsion Shaft DeformationgydF4y2Ba

Ť � �gydF4y2BaAngle of Twist � � � � Բ � � Ť ת ʱ � � � � � � � � � � � � � � � � � � � � Խ � lambda � ơ �gydF4y2Ba

Ť � �gydF4y2BafgydF4y2Ba� � Ť ת � � � epsilon ı � � zeta � � � � �gydF4y2Ba

� � � � � � � � � � Խ Զ � � � � � � Ť � Ǿ � Խ � �gydF4y2Ba

� � ֱ Բ � � � Ť � �gydF4y2BafgydF4y2Ba� Ĵ � С � � Ť � �gydF4y2BaM TgydF4y2Ba� � � � the awesome � � �gydF4y2BaLgydF4y2Ba� � � � � ȣ � � � � � � � ļ � � � � Ծ �gydF4y2BaI pgydF4y2Ba� ɷ � � ȣ � � � � � � � � � � � �gydF4y2BaGgydF4y2Ba

fgydF4y2BaΪ Ť � ǣ � rad � � � �gydF4y2BaGgydF4y2BaΪ � � � ϵ � � б � ģ � � (GPa) � �gydF4y2Ba

� � Ť � �gydF4y2BaM TgydF4y2Ba� � � ˳ �gydF4y2BaLgydF4y2Baһ � � ʱ � �gydF4y2BaGIgydF4y2BapgydF4y2BaԽ � � Ť � �gydF4y2BafgydF4y2Ba� � Խ С � �gydF4y2BaGIgydF4y2BapgydF4y2Ba� � ӳ � � Բ � � ֿ � Ť ת � � � epsilon � � � � � � � � � Ϊ � � �gydF4y2Ba� � Ť � ն �gydF4y2Ba� � � � � � � � � � � ֮ � � � Ť � � ֵ � б 仯 � � � � � ᾶ � � ͬ � � � � Ӧ � ֶ mu � � � � � � Ӧ � � � epsilon � Ť � ǣ � Ȼ � � � � ӡ �gydF4y2Ba

4 � and � � � 2 Ť ת ʱ � ĸ ն ȼ � � �gydF4y2Ba

� � ֱ Բ � � ĸ ն � � � � � � � � � � lambda � � � � Ť � � С � ڻ � � � � � � � � lambda o � � � � Ť � ǡ �gydF4y2Ba

Ӧ � � Ť ת ǿ � � � � � � � � У � � ǿ � ȡ � � � ƽ � � � � ȷ � � � � � � غ ɡ �gydF4y2Ba


topgydF4y2Ba
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