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目次へ ウォーム歯車の計算[JGMA規格] |
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ウォーム歯車の計算[JGMA規格] |
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減速比=40 |
圧力角αn |
軸方向 モジュールma |
ピッチ円径d0 |
条数/歯数
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回転数
n |
歯幅 B |
材料 |
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mm |
Z |
rpm |
mm |
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1 |
ウォーム |
0 |
4 |
28 |
1 |
750 |
- |
S45C_高周波 |
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9 |
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0 |
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2 |
ホイール |
160 |
40 |
18.8 |
20 |
CAC702_歯面処理なし |
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18 |
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20 |
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S45C |
1 |
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●滑り速度 v [m/s] |
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CAC702 |
7 |
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v=d01*n1/{19100*cos(γ0)}=28*750/{19100*cos(8.1301)}=1.111[m/s] |
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TRUE |
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d01=ウォームピッチ円径= |
28 |
[mm] |
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167 |
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n1=ウォーム回転数= |
750 |
[rpm] |
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γ0=進み角= |
8.1301 |
[deg] |
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●歯面強さに対する許容円周力 F [N] |
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●トルク |
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F=37.5*Kh*Ks*Kv*Kn*Sc*Z*d02^(0.8)*ma*ZL*Zm*Zr/Kc |
ウォーム:T=F*d01/2000=2205.7*28/2000=30.88[N-m] |
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=37.5*1*1*0.55*0.74*0.67*0.93*160^(0.8)*4*1*1*1/1 |
ホイール:T=F*d02/2000=2205.7*160/2000=176.46[N-m] |
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=2205.7[N] |
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Kh=時間係数= |
1 |
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Ks=起動係数= |
1 |
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Kv=滑り速度係数= |
0.55 |
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Kn=回転速度係数= |
0.74 |
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0.55 |
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Sc=許容応力係数= |
0.67 |
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Zh=領域係数= |
0.93 |
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d02=ホイールピッチ円径= |
160 |
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ma=軸方向モージュール= |
4 |
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ZL=潤滑油係数= |
1 |
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Zm=潤滑法係数= |
1 |
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Zr=粗さ係数= |
1 |
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Kc=歯あたり係数= |
1 |
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●効率 |
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η=Tan(γ)*(1-Tan(γ)*μ/Cos(α))/(Tan(γ)+μ/Cos(α)) |
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=Tan(8.1301)*(1-Tan(8.1301)*μ/Cos(20))/(Tan(8.1301)+0.0532/Cos(20)) |
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=0.71 |
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μ=摩擦係数= |
0.0532 |
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L=摩擦係数μの係数= |
1.33 |
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●伝達動力 P [kW] |
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P=F*vs/1000=2205.7*0.16/1000=0.35[kW] |
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vs=ホイール周速=π*160*18.8/60000=0.16[m/s] |
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