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目次へ 平歯車の計算(ルイスの式) |
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平歯車の計算(ルイスの式) |
σb=小歯車= |
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並歯 |
圧力角α0 |
モジュールm |
歯数 Z |
回転数
n |
歯幅 B |
材料 |
歯面硬度 |
転位係数x |
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σ0=標準最大曲げ応力= |
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rpm |
mm |
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Kv=速度係数= |
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1 |
小歯車 |
20 |
4 |
20 |
300 |
32 |
MC901_ナイロン |
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0.15 |
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MC901 |
4 |
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Kt=温度係数= |
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2 |
大歯車 |
40 |
150 |
SUS304_ステンレス |
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-0.15 |
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SUS304 |
6 |
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KL=潤滑係数= |
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Km=材質係数= |
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●ピッチ円周上の周速 v (m/s) |
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v=π*D1*n1/(1000*60)=π*80*300/(1000*60)=1.257
(m/s) |
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σb=大歯車= |
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σ0=標準最大曲げ応力= |
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●速度係数 fv |
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●荷重係数 fw |
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Kv=速度係数= |
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fv=0.75/(1+v)+0.25=0.75/(1+1.257)+0.25=0.582 |
fw=0.74 |
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0.74 |
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Kt=温度係数= |
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KL=潤滑係数= |
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●小歯車:曲げ強さによる接線力 |
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●トルク T [N-m] |
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Km=材質係数= |
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F=σb*B*m*y=3*32*4*0.544=209
(N) |
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T=F*D1/2000=209*80/2000=8.36[N-m] |
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σb=fv*fw*σ0=0.582*0.74*7=3
(N/mm2) |
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t=温度= |
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σ0=許容曲げ応力=7 (N/mm2) |
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D1=ピッチ円径=80[mm] |
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7 |
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y=歯形係数=0.544 |
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●大歯車:曲げ強さによる接線力 |
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F=σb*B*m*y=30.1*32*4*0.657=2531
(N) |
●トルク T [N-m] |
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σb=fv*fw*σ0=0.582*0.74*70=30.1
(N/mm2) |
T=F*D2/2000=2531*160/2000=202.48[N-m] |
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σ0=許容曲げ応力=70 (N/mm2) |
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D2=ピッチ円径=160[mm] |
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70 |
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y=歯形係数=0.657 |
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●面圧強さによる接線力 |
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F=fv*k*D1*B*2*Z2/(Z1+Z2)=0.582*3.8*80*32*2*40/(20+40)=1000000
(N) |
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k=触面応力係数=3.8 |
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●トルク T [N-m] |
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小歯車 |
T=F*D1/2000=1000000*80/2000=40000[N-m] |
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3.8 |
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大歯車 |
T=F*D2/2000=1000000*160/2000=80000[N-m] |
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●伝達動力 |
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P=F*v/1000=209*1.257/1000=0.263
(kW) |
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