4.2. ANALYSIS OF RESULTS 59
r in the formula represents the distance from the point of space to the curvature center of the
tooth profile, as shown in Fig. 4.2, r
1
D ON
1
; r
2
D ON
2
, which can be computed as per the
geometric relationship of Fig. 4.3. As long as the test distance r is large enough relative to the
gear tooth width b, it can be regarded as far-field test. a is the radius of curvature of the gear
meshing impact point, as shown in Fig. 4.3. a
1
D N
1
B
2
and a
2
D N
2
B
2
can be calculated from
the meshing principle.
r
g1
r
g2
N
2
N
1
B
2
B
1
ω
1
ω
2
θ
2
θ
θ
1
α
O
1
O
O
2
P
b
P
Figure 4.3: Position parameter of gear pair under the condition of meshing.
e sound pressure of a meshing gear system at r points in space can be expressed as
follows [37]:
p.r; ; t/ D p
1
.
r
1
;
1
; t
/
C p
2
.
r
2
;
2
; t
/
; (4.26)
where
1
D arcsin
OPsin a
b
ON
1
,
2
D D arcsin
OPsin a
b
ON
2
.
4.2 ANALYSIS OF RESULTS
rough the theories above, the gear meshing noise can now be calculated. In this part, the gear
meshing pair in the composite planetary row and the drive train is regarded as the object. First,
meshing noise of the two gears in each gear pair has the circumferential section error and the
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