1、Harbin Institute of Technology機(jī)械原理大作業(yè)三作業(yè)名稱：齒輪傳動(dòng)設(shè)計(jì)設(shè)計(jì)題目：20院系：機(jī)電工程學(xué)院班級(jí)：設(shè)計(jì)者:學(xué)號(hào):指導(dǎo)教師：丁剛設(shè)計(jì)時(shí)間：2014年6月哈爾濱工業(yè)大學(xué)設(shè)計(jì)題目1.電動(dòng)機(jī)2,4.皮帶輪 3.皮帶 5,6,7,8,9,10,11,12,13,14.圓柱齒輪 15,16圓錐齒輪機(jī)械傳動(dòng)系統(tǒng)原始參數(shù)序 號(hào)電機(jī)轉(zhuǎn)速（r/min ）輸出軸轉(zhuǎn)速（r/min）帶傳動(dòng) 最大傳 動(dòng)比滑移齒輪傳動(dòng)定軸齒輪傳動(dòng)最大傳 動(dòng)比模數(shù)圓柱齒輪圓錐齒輪一對(duì)齒 輪最大 傳動(dòng)比模數(shù)一對(duì)齒 輪最大 傳動(dòng)比模數(shù)20970303540< 2.5< 4.02< 43&l

2、t; 431. 傳動(dòng)比的分配計(jì)算電動(dòng)機(jī)轉(zhuǎn)速 n=970r/min，輸出轉(zhuǎn)速 no1=4O r/min ， n02=35 r/min ， no3=3O r/min，帶傳動(dòng)的最大傳動(dòng)比ipmax =2.5,滑移齒輪傳動(dòng)的最大傳動(dòng)比ivmax =4,定軸齒輪傳動(dòng)的最大傳 動(dòng)比 idmax =4。根據(jù)傳動(dòng)系統(tǒng)的原始參數(shù)可知，傳動(dòng)系統(tǒng)的總傳動(dòng)比為11 =丄=970/40=24.25001 n0112 = -=970/35=27.71432 n02i3=三=970/30=32.33333 n03傳動(dòng)系統(tǒng)的總傳動(dòng)比由帶傳動(dòng)、滑移齒輪傳動(dòng)和定軸齒輪傳動(dòng)三部分實(shí)現(xiàn)。設(shè)帶傳動(dòng)的傳動(dòng)比為ipmax = 2.5,滑移

3、齒輪的傳動(dòng)比為ivi、iv2和G，定軸齒輪傳動(dòng)的傳動(dòng)比為if，則總傳動(dòng)比11 = Ipmax iv1 if12 = ipmax iv2 if13 = i pmax i v3 if則可得定軸齒輪傳動(dòng)部分的傳動(dòng)比為令iv3ivmax=4if =i3i pmax x Vmax32.3332.5 X4=3.2333滑移齒輪傳動(dòng)的傳動(dòng)比ivi =盤Xf = 23=3.°00027.714iv2 =i 2ipmaxx if =2.5 X 3.2333=3.42 86齒輪傳遞時(shí)候傳動(dòng)比得滿足先小后大原則 定軸齒輪傳動(dòng)由3對(duì)齒輪傳動(dòng)組成，則每對(duì)齒輪的傳動(dòng)比為33id = Vif = v3.2333

4、= 1.4787 w idmax =42. 齒輪齒數(shù)的確定在選擇齒輪的時(shí)候，由于齒輪需要傳遞動(dòng)力，齒數(shù)不宜過(guò)少，為了保證傳動(dòng)的平穩(wěn)性 和嚙合精度，因此一般情況下最小齒數(shù)不能小于12。對(duì)于壓力角為20°這的標(biāo)準(zhǔn)漸開線 圓柱齒輪不發(fā)生根切的最少齒數(shù)為 Z=17,或者引入變?yōu)橄禂?shù)正變位。根據(jù)滑移齒輪變速傳動(dòng)系統(tǒng)中對(duì)齒輪齒數(shù)的要求，可大致選擇齒輪5、6為高度變位齒輪傳動(dòng)，7、& 9和10為角度變位齒輪傳動(dòng)，其齒數(shù)：Z5 = 19，Z6= 58, Z7 =17, zs = 59,Z9 = 15,Z10 =60;它們的齒頂高系數(shù)ha=1,徑向間隙系數(shù)c?=0.25，分度圓壓力角 尸20&

5、#176;,根據(jù)第一組標(biāo)準(zhǔn)齒輪的中心距確定實(shí)際中心距 a =77mm根據(jù)定軸齒輪變速傳動(dòng)系統(tǒng)中對(duì)齒輪齒數(shù)的要求， 可大致選擇齒輪11、12、13和14 為角度變位齒輪，其齒數(shù)：Z" = Z13=16，Z12 = Z14 =27。它們的齒頂高系數(shù)h?=1，徑向 間隙系數(shù)c?=0.25 ,分度圓壓力角a=200 ,實(shí)際中心距az =65mm圓錐齒輪15和16選擇為 標(biāo)準(zhǔn)齒輪Z15 =17, Z16 = 19,齒頂高系數(shù)ha=1,徑向間隙系數(shù)c?=0.2，分度圓壓力角a=20°。各齒輪齒數(shù)總表編號(hào)5678910111213141516齒數(shù)216419651767152215221

6、7253. 實(shí)際輸出轉(zhuǎn)速n01 =n *lv1 *if *ipmax=970 - (21x2l xH25X石 X 2.5)=40.245r?minn02 =n *lv2 *if -ipmax65=970 -(荷2222X X 151525X石 X 2.5)=35.852r?minn03 =n *lv3 *if -ipmax67=970 寧(-22 22 Xx 151525X石 X 2.5)=31.121r?min4.滑移齒輪變速傳動(dòng)中每對(duì)齒輪幾何尺寸及重合度的計(jì)算滑移齒輪5和齒輪6幾何尺寸表i vi=3.0476序 號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果1齒數(shù)齒輪5Z521齒輪6Z6642模數(shù)m23壓力

7、角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)c?0.256標(biāo)準(zhǔn)中心距aa =m ( z5 + Ze)/2=85mm7實(shí)際中心距/a/a = 85mm8嚙合角/aa = a= 20 °9變位系數(shù)齒輪5X50.4齒輪6X6-0.410齒頂咼齒輪5ha5ha5 = m(ha + X5) = 2.800mm齒輪6ha6ha6 = m(h? + X6)= 1.200mm11齒根高齒輪5hf5hf5 = m(ha + c? - x5) = 1.700mm齒輪6hf6hf6 = m(ha + c? - X6)= 3.300mm12齒輪5d5d5 = mz5 = 42.000mm分度圓直徑齒輪

8、6d6d6 = mz6 = 128.000mm13齒頂圓直徑齒輪5da5da5 = d5 + 2ha5 = 47.600mm齒輪6da6da6 = d6 + 2ha6 = 130.400mm14齒根圓直徑齒輪5df5df5 = d5 - 2hf5 = 38.600mm齒輪6df6df6 =- 2hf6 = 121.400mm15齒頂圓壓力 角齒輪50a5dsCOS aaa5 - arccos()- 33.989da5齒輪60a6d6COS a0aa6 = arccos()=22.721da616重合度££= Z5 (tan aa - tan a ) + ze (tan aa

9、 -tan a ) /2 n =1.595滑移齒輪9和齒輪10幾何尺寸表 心=3.9412序 號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果12齒數(shù)齒輪7Z719齒輪8Z865模數(shù)m23壓力角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)? c?0.256標(biāo)準(zhǔn)中心距aa =m ( z7 + z8)/2=84mm7實(shí)際中心距/a85mm8嚙合角/a/COS aa = arccos (a) = 21.78 ° a9變位系數(shù)齒輪7X70.462齒輪8X80.06110齒頂咼齒輪7ha7ha7 = m(h? + x7 - ?y) = 2.878mm齒輪8ha8ha8 = m(h? + X8 - ?y) =

10、2.076mm11齒根高齒輪7hf7hf7 = m(ha + c? - X7) = 1.576mm齒輪8hf8hf8 = m(ha + c? - x8) = 2.378mm12Zk齒輪7d7d7 = mz7 = 38.000mm分度圓直徑齒輪8d8d8 = mz8 = 130.000mm13齒頂圓直徑齒輪7da7da7 = d7 + 2ha7 = 43.756mm齒輪8da8da8 = d8 + 2ha8 = 134.152mm14齒根圓直徑齒輪7df7df7 = d7 - 2hf7 = 34.848mm齒輪8df8df8 = d8 - 2hf8 = 125.244mm15齒頂圓壓力 角齒輪7

11、Oa7d 7COS acaa7 一 arccos ( .) = 35.306'da7 1齒輪80a8.d 8cOS a、. - - . oa = arccos ( *) =24.408da816重合度£/£ = z7 (tan a - tan a ) + z8 (tan a -tan a ) /2 n =1.494序號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果12齒數(shù)齒輪9Z917齒輪10Z1067模數(shù)m23壓力角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)c?0.256標(biāo)準(zhǔn)中心距aa =m ( z9 + z10)/2=84mm7實(shí)際中心距/a85mm8嚙合角/a/COS aa

12、 = arccos (a) = 21.78 ° a9變位系數(shù)齒輪9X90.462齒輪10X100.06110齒頂咼齒輪9ha9ha9 = m(h? + x9 - ?y) = 2.878mm齒輪10ha10ha10 = m(ha + X10 - ?y) = 2.076mm11齒根高齒輪9hf9hf9 = m(ha + c? - x9) = 1.576mm齒輪10hf1ohf10 = m(h?+ c? - X1o) = 2.378mm12Zk齒輪9d9d9 = mz9 = 34.000mm分度圓直徑齒輪10d10d10 = mz10 = 134.000mm13齒頂圓直徑齒輪9da9da9

13、 = d9 + 2ha9 = 39.756mm齒輪10da10da10 = dp + 2ha10 = 138.152mm14齒根圓直徑齒輪9df9df9 = d9 - 2hf9 = 30.848mm齒輪10df10df10 = d10 - 2hf10 = 129.244mm15齒頂圓壓力 角齒輪9缶9z dgcos a小小-一。«a9 一 arccos () =36.521、da9 /齒輪100310z d10 cos ac。aa10 = arccos ( .) =24.293da1016重合度£/£= Z9 (tan aa - tan a ) + 乙。(tan

14、a10 -tan / ) /2 n =1.4755、定軸齒輪變速傳動(dòng)中每對(duì)齒輪幾何尺寸及重合度的計(jì)算圓柱齒輪11與齒輪12幾何尺寸表（齒輪13與14和齒輪11與12對(duì)應(yīng)相同）序號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果1齒數(shù)齒輪11z1115齒輪12z12222模數(shù)m33壓力角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)c?0.256標(biāo)準(zhǔn)中心距a日二m ( z11 + z12)/2=55.5mm7實(shí)際中心距?56mm8嚙合角/a/COS aa = arccos (a) = 21.361 a9變位系數(shù)齒輪11X110.118齒輪12x120.05410齒頂咼齒輪11ha11?11 = m(h? + x11

15、 - ?y) = 3.339mm齒輪12ha12ha12 = m(h? + X12 - ?y) = 3.147mm11齒根高齒輪11hf11hf11 = m(h? + c? - x11) =3.396mm齒輪12hf12hf12 = m(ha + c?- x12) =3.588mm12齒輪11d11d11 = mz11 =45mm分度圓直徑齒輪12d12d12 = mz12 = 66mm13齒頂圓直徑齒輪11da11da11 = d11 + 2ha11 = 51.678mm齒輪12da12da12 = d12 + 2ha12 = 72.294mm14齒根圓直徑齒輪11dfndf11 = d11

16、 - 2hf11 = 38.208mm齒輪12df12df12 = d12 - 2hf12 = 58.824mm15齒頂圓壓力 角齒輪11aa11z d 11 cOS caoaa11 一 arccos ( .) = 35.089d a11齒輪12aa12d 12 cOS aaa12 = arccos ( .) = 32.920' da12/16重合度£/£ = z11 (tan a11 - tan a ) + z12 (tan a2 -tan / ) /2 n =1.641圓柱齒輪13與齒輪14幾何尺寸表序號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果1齒數(shù)齒輪13z1315齒輪14

17、z14222模數(shù)m33壓力角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)? c?0.256標(biāo)準(zhǔn)中心距aa 二m ( z13 + z14)/2=55.5mm7實(shí)際中心距?56mm8嚙合角/a/COS aa = arccos (a) = 21.361 ° a9變位系數(shù)齒輪13X130.118齒輪14X140.05410齒頂咼齒輪13ha13?13= m(h? + X13 - ?y) = 3.339mm齒輪14ha14ha14 = m(h? + x14 - ?y) = 3.147mm11齒根高齒輪13hf13hf13 = m(h? + c? - x13) =3.396mm齒輪14hf1

18、4hf14 = m(h? + c? - X14) =3.588mm12齒輪13d13d13 = mz13 =45mm分度圓直徑齒輪14d14d14 = mz14 =66mm13齒頂圓直徑齒輪13da13da13 = d13 + 2ha13 = 51.678mm齒輪14da14da14 = d14 + 2ha14 = 72.294mm14齒根圓直徑齒輪13df13df13 = d13 - 2hf13 = 38.208mm齒輪14df14df14 = d14 - 2hf14 = 58.824mm15齒頂圓壓力角齒輪13aa13,d 13 cOS a。aa13 一 arccos ( *) = 35.

19、089da13齒輪14勉14zd 14 cos a小小。aa14 = arccos ( *) = 32.920da1416重合度£/£=乙3 (tan a13 - tan a ) +(tan au -tan a ) /2 n =1.641圓錐齒輪15與16幾何尺寸表序號(hào)項(xiàng)目代號(hào)計(jì)算公式及計(jì)算結(jié)果1齒數(shù)齒輪15Z1517齒輪16Z16252模數(shù)m33壓力角a20 °4齒頂咼系數(shù)h?15頂隙系數(shù)c?0.26分度圓錐角齒輪15§5 = arccot(Z16/z 15)=34.216 °齒輪16§6§6 = 90 0 - §5 = 55.784 °7Z分度圓徑齒輪15d15d15 = mz15 = 51.000mm刀度圓直徑齒輪16d16d16 = mz16 = 75.000mm8錐距R1/2 2R = va15 + d16 = 45.349