外啮合斜齿轮计算1

时间:2025-04-19

外啮合齿轮计算(P428)法向压力角αn 20 COSαn 0.939692621 SINαn 0.342020143 TANαn 0.363970234 INVαn 0.014904384 端面压力角αt 21.17283219 COSαt 0.932495167 SINαt 0.361182452 TANαt 0.387329033 INVαt 0.0177934 啮合角αt' 螺旋角β 中心距a 21.2072702 20 94.97786619 COSαt’ 16.5 94.97786619 0.93227791 0.939692621 实际中心距a' SINαt’ SINβ 95 0.36174287 0.342020143 95 TANαt’ TANβ 中心距变动 0.38802042 0.363970234 系数y INVαt’ 0.006323945 0.01788373 分度圆弦齿厚S 0.0063 6.48269479 1.4 齿顶圆da 50.73811185 153.2641558 全齿高h 7.876133807 7.876133807 当量齿数Zv 13.25669413 48.20616046 齿根圆df 34.98584424 137.5118881 跨齿数k 3 5

齿数Z 11 40 齿顶高变动 系数Δy -0.000323945

模数mn 分度圆d 3.5 40.9708442 3.5 148.984888 5 齿顶高ha 齿根高hf 4.883633807 2.9925 2.139633807 5.7365

端面重合度εα 端面重合度εβ 总重合度ε 1.34625039 0.777631378 2.12388177

强φm13.4819

度YFS

σFle

模数mn

650 4 61699.2 96395.585 0.640062509 0.861801932 10.68634395 3.562114651

外啮合齿轮计算(P428)

齿顶圆da50.73811185153.2641558全齿高h7.8761338077.876133807当量齿数Zv13.2566941348.20616046

齿根圆df34.98584424137.5118881跨齿数k

35

齿数Z1140齿顶高变动系数Δy-0.000323945模数mn分度圆d3.540.97084423.5148.9848885齿顶高ha齿根高hf4.8836338072.99252.1396338075.7365

端面重合度εα端面重合度εβ总重合度ε

1.346250390.7776313782.12388177

强 度 计

φm

13.4819

σFleYFS

模数mn

6504

61699.296395.5850.6400625090.86180193210.686343953.562114651

总变位系数XnΣ 节圆直径d' 齿宽B 0.006328853 40.98039216 33.2422532 0.006 149.0196078 25 变位系数 基圆直径db 0.395 0.395 38.20511425 -0.389 -0.389 138.9276882 TANaa 齿顶高系数han 0.006 顶圆压力角aa 1 0 41.15025406 0.87390136 24.97947857 0.46587168 0.395 0.4 -0.394 3.8 跨齿数k 速比I 2.529559606 3.8 0.039240388 0.039 5.07017155 0.118354329 0.118 0.230379672 0.23 公法线长度Wn 0.321265771 0.321 27.42056831 0.395084504 0.395 47.90559491

1.123933843 0.883022222 0.490827487 0.967681407 0.883022222 0.290962516

算σHlim1000 扭距T1 K值 φa 12854 1.2 0.4349 15424.8 0.011792367 0.227614711 a>= 502.7189557 167.5729852 u 3.64 1308032.569 71571.072 d>=

d'齿宽B40.9803921633.2422532149.019607825db

38.20511425138.9276882aaTANaa41.150254060.87390136

24.979478570.46587168

3.8

跨齿数k速比I2.5295596063.80.0392403880.039

5.070171550.1183543290.1180.2303796720.23公法线长度Wn0.3212657710.32127.420568310.3950845040.395

47.90559491

σHlim

扭距T1K值φa1000

128541.20.4349

15424.8

0.0117923670.227614711

a>=502.7189557

167.5729852

1.123933843

0.8830222220.4908274870.9676814070.8830222220.290962516

u3.64

1308032.571571.072d>=

28)

计 算

分度圆上的圆周力Ft

25640.1843720746.46046节圆上的圆周力Ft‘25634.2105320741.62679节圆上的径向力F‘r9928.8739798033.834252节圆上的径向力F’x

9330.089617549.334763

齿面接触疲劳强度σH

485.9622024

功率kW3

转距T1910425

转速rpm15

0.00011765

ZHZE3189.9(P35-48页)(P35-49页)

0.87996090.9693774Zεβ0.8530142

KA1.5

3.674883KV2097.444

齿根弯曲疲劳强度Σf

σHlP

909

032.569

速比I3.64

φd

1.0089683034636

0.0235847340.28677657216.803083872.26769461

KHβKHα

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