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1、錐齒輪傳動設計計算計算項目符號單位公式及數據來源結果一.已知條件傳遞功率Pkw15小齒輪轉速n1rpm1000傳動比i3軸交角正交傳動90齒線形狀圓周速度5m斜齒小齒輪材料及熱處理42SiMn 調質至:HB242大齒輪材料及熱處理45 調質至:HB229材料及熱處理質量等級MQ原動機特性均勻平穩(wěn)工作機特性輕微振動第二公差組精度等級9潤滑油50名義運動粘度50mm2/s220齒面粗糙度Ra1/Ra2m6.3可靠性要求失效概率低于1/100齒輪支撐形式一輪兩端支撐,一輪懸臂支撐初定小齒輪分度圓直徑d1120主動輪小齒輪主動輪轉向左轉主動輪旋向左旋二.幾何計算1.齒形制GB12369-90齒形角GB
2、12369-9020齒頂高系數ha*GB12369-901頂隙系數c*GB12369-900.22.大端端面模數mmm93.齒數比u3.076924.齒數z113z2405.變位系數x1表14-3-80.52x2高變位:x2=-x=-x1 1-0.52xt1表14-3-90.08xt2高變位:x2=-x=-x1 1-0.086.分錐角118.0042)180cos()180sin(arctan90cossinarctan90arctan9011211uuzz時,當時,當時,當12/zzu 271.99587.分度圓直徑d1mm117d2mm360dm1mm99.6912dm2mm306.742
3、8.錐距R189.268Rmmm161.2689.齒寬bmm56齒寬系數R0.2958810.螺旋角2311.齒寬中點的螺旋角m27.29512.齒寬中點法向模數mmnmm6.8147213.齒頂高hamm13.68hamm4.3214.齒根高hfmm6.12hfmm15.4815.齒高hmm19.8hmm19.816.齒頂圓直徑da1mm143.02da2mm362.67117.齒根角f12.18542f25.5134318.齒頂角a12.18542a25.5134319.頂錐角a120.1896a277.509320.根錐角f115.8187f266.482421.外錐高Ak1mm175.
4、772Ak2mm54.391522.分度圓弧齒厚s1mm18.5581s2mm9.716223.分度圓弦齒厚mm16.718mm8.8611324.分度圓弦齒高mm4.30019mm4.3402625.當量齒數zv117.5254zv2165.921122,12,1m zdRbR3/14/1Rmxhhaa)(2,1*2,1mxchf)1(2,1*2,12,12,12,1fahhh)5.01(2,12Rmdd)5.01(RmRR2,12,12,12,1cos2aahdd22,12,1cosarctanRhff2121:,等 頂 隙 收 縮 齒fa2,12,12,1ff2,12,11,22,1si
5、n2/akhdA12111)cos/tan22/(smsxxmstcos6cos42sin122,12,1232,12,12,1_2,1dssRssn2,12,12,1aa等頂隙收縮齒:2,12,122,12,12,1_2,1cos442sin1dshRsha)sin2/(11dR RbmbR)(tan_1ns_2ns_1nh_2nh32,12,12,1coscoszzv)/sinarcsin(mmRRmRnmmmcos)5.01(26.端面重合度1.4326227.軸向重合度1.1994928.法向重合度n1.58758三.接觸強度校核計算A.計算接觸應力HN/mm2520.7411.節(jié)點區(qū)
6、域系數ZH2.25108當量齒輪端面齒形角vt22.27272.彈性系數ZE表:14-1-66189.83.重合度系數Z0.89761當量齒輪縱向重合度V1.01957當量齒輪端面重合度V1.24116當量齒輪嚙合線長度gVmm27.6704當量齒輪基圓直徑dvb1mm97.0031dvb2mm918.373當量齒輪齒頂圓直徑dva1mm130.047dva2mm995.651當量齒輪中心距avmmav=(dv1+dv2)/2548.62當量齒輪分度園直徑dv1mm104.824dv2mm992.4164.螺旋角系數Z0.942695.錐齒輪系數ZK配對齒輪的齒頂和齒根進行修形0.856.使用
7、系數KA表:14-1-641.257.動載系數KVKV=NK+11.24472臨界轉速比N0.05421中點圓周速度vmtm/svmt=dm1n1/600005.21982系數K4.51428齒距極限偏差fptm表;14-3-3945跑合量yam12.0782單對齒剛度cN/mmm14系數cV120.61071系數cV30.137齒寬中點切向力FmtNFmt=20009550P/(n1d1)2448.728.齒向載荷分布系數KHKH=1.5KHbe1.875軸承系數KHbe表:14-3-301.25vveHvmtHHVAKEHHuubdFKKKKZZZZZ112,12,1*2,12,12,12
8、22111cos2cosarccos,cos/tanarctantantancostantancos21xhzzzzatvatttvattvat)/(sinnmmmb)cos(sincos(arcsin/mnvtmHZ2sin/cos2)cos/arctan(tanmvt2/mmN)1(/11(134時時)VVVVVVVZZ2,12,12,1cos5.0dRbRdv2,12,12,12,1tan5.02aavvabhddvtvvbddcos2,12,1vtvvbvavbvavaddddgsin5.022222121cos)5.0(/vtvvbRmRg)5.0(/tan85.0bRmbRmvmZ
9、cos1100084.0221uuvzNmt31285.0/VVmtAaptccbFKcyfK9.齒間載荷分布系數KH表4-3-311.8141110.有效齒寬beHmmbeH=0.85b47.611.當量圓柱齒輪齒數比uv9.46746B許用接觸應力HPN/mm2670.5251.接觸疲勞極限HlimN/mm2圖:14-1-215632.潤滑劑系數ZL圖:14-1-221.5543.速度系數ZV圖:14-1-230.9584.粗糙度系數ZR圖:14-1-240.85.尺寸系數ZX表:14-3-3216.最小安全系數SHlim表:14-1-691C.強度條件HHP滿足四.彎曲強度校核計算A.計
10、算齒根應力FN/mm2104.3941.齒向載荷分布系數KFKF=KH=1.5KHbe1.8752.齒間載荷分布系數KF表4-3-311.814113.齒形系數YFa圖:14-3-242.284.應力修正系數Ysa圖:14-3-251.895.重合度系數Y0.784936.螺旋角系數Y0.772547.錐齒輪系數YK1B.許用齒根應力FPN/mm2353.681.彎曲疲勞極限FlimN/mm2圖:14-1-29292.752.應力修正系數YST23.齒根圓角敏感系數YrelT圖:14-1-300.954.齒根表面狀況系數YRrelT圖:14-1-740.95.尺寸系數YX圖:14-1-310.
11、989116.最小安全系數SFlim表:14-1-691.4C.強度條件FFP滿足五.彎曲強度校核計算1.主動小齒輪齒寬中點處的徑向力Fr1N表:14-3-21563.2572.從動大齒輪齒寬中點處的徑向力Fr21511.723.主動小齒輪齒寬中點處的軸向力Fx11511.724.從動大齒輪齒寬中點處的軸向力Fx2563.257蘇州.官波.2005/5/6 19:3821cos/cosuuvXRVLHHHPZZZZSlimlimKsaFamnmtFFVAFYYYYYbmFKKKK85.0VnmoYcossinarcsincos75.25.02120/1mVYXRrelTrelTFSTFFPYYYSYlimlim