Section 17 Strength and Durability of Gears - SDP/SI
Section 17 Strength and Durability of Gears - SDP/SI
Section 17 Strength and Durability of Gears - SDP/SI
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ELEMENTS OF METRIC GEAR TECHNOLOGY<br />
I<br />
Coefficient <strong>of</strong> Friction<br />
0.150<br />
0.120<br />
0.100<br />
0.090<br />
0.080<br />
0.070<br />
0.060<br />
0.050<br />
0.040<br />
0.030<br />
0.020<br />
0.015<br />
PHONE: 516.328.3300 • FAX: 516.326.8827 • WWW.<strong>SDP</strong>-<strong>SI</strong>.COM<br />
R<br />
T<br />
1<br />
2<br />
3<br />
4<br />
0.012<br />
0 0.001 0.01 0.05 0.1 0.2 0.4 0.6 1 1.5 2 3 4 5 6 7 8 9 10 12 14 16 18 20 22 24 26 30<br />
Sliding Speed<br />
Fig. <strong>17</strong>-12 Friction Coefficient, µ<br />
Table <strong>17</strong>-27 Combinations <strong>of</strong> Materials <strong>and</strong> Their Coefficients <strong>of</strong> Friction, µ<br />
Combination <strong>of</strong> Materials<br />
Cast Iron <strong>and</strong> Phosphor Bronze<br />
Cast Iron <strong>and</strong> Cast Iron<br />
Quenched Steel <strong>and</strong> Aluminum Alloy<br />
Steel <strong>and</strong> Steel<br />
<strong>17</strong>.5.4 Surface <strong>Strength</strong> <strong>of</strong> Worm Gearing Mesh<br />
µ<br />
µ in Figure <strong>17</strong>-12 times 1.15<br />
µ in Figure <strong>17</strong>-12 times 1.33<br />
µ in Figure <strong>17</strong>-12 times 1.33<br />
µ in Figure <strong>17</strong>-12 times 2.00<br />
(1) Calculation <strong>of</strong> Basic Load<br />
Provided dimensions <strong>and</strong> materials <strong>of</strong> the worm pair are known, the allowable load is<br />
as follows:<br />
F t lim = Allowable tangential force (kgf)<br />
Z L Z M Z<br />
0.8<br />
= 3.82 K R<br />
v K n S c lim Zd 2 m x –––––– (<strong>17</strong>-51)<br />
K C<br />
T 2 lim = Allowable worm gear torque (kgf • m)<br />
Z L Z M Z<br />
1.8<br />
= 0.00191 K R<br />
v K n S c lim Zd 2 m x ––––– (<strong>17</strong>-52)<br />
(2) Calculation <strong>of</strong> Equivalent Load<br />
The basic load Equations (<strong>17</strong>-51) <strong>and</strong> (<strong>17</strong>-52) are applicable under the conditions <strong>of</strong><br />
no impact <strong>and</strong> the pair can operate for 26000 hours minimum. The condition <strong>of</strong> "no impact"<br />
is defined as the starting torque which must be less than 200% <strong>of</strong> the rated torque; <strong>and</strong> the<br />
frequency <strong>of</strong> starting should be less than twice per hour.<br />
K C<br />
5<br />
6<br />
7<br />
8<br />
9<br />
10<br />
11<br />
12<br />
13<br />
14<br />
15<br />
T-187<br />
A