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表3-1轴交角Σ90传动比u06小轮转速n1(r/min)20000小轮转矩T1(N.m)10大轮大端节圆直径d'e2105理论直径102.2大轮大端节锥角初值δ'280.537681.405648大轮大端节锥距初值R'e053.22417齿宽b16理论齿宽参考点法向模数mn1.6理论模数参考点螺旋角初值30-45βm0350.610865238cosβm0小轮齿数Z18理论齿数7.612797819大轮齿数Z248理论齿数48齿数比u6传动比误差百分数∆u0大轮节锥角δ'280.537681.405647649tanδ'2参考点螺旋角βm30.59170.533925883cosβmsinΣ1cosΣ6.12574E-17pi3.141593423114.61sinδ'20.986394615.9672521.60.8191526sinδ'20.9863940.8608158表3-2表3-4轴交角*∑90小轮齿数*Z1(5)8大轮齿数*Z248大轮大端节圆直径de2’105齿宽*b16参考点法向模数*Mn1.6法向压力角落*αn20大轮节锥角*δ2’1.405647649齿顶高系数*h*a1顶隙系数*c*0.25圆周齿侧间隙jt法向齿侧间隙*jn0.1齿数比u6参考点螺旋角βm(30°--45°)0.533925883铣齿机型号S25铣刀盘名义半径**r039刀片组数**z05刀片模数**m0(克制)0节点高度hw0(奥制)119高度变位系数*x10.68切向变位系数*xt10分度锥角修正值Δδ0小轮节锥角*δ1’ 0.165148677小轮大端节圆直径*de1’17.5小轮参考点节圆直径dm1’14.8696162小轮参考点节圆直径dm2’89.21769722冠轮齿数*Zp48.66210024冠轮大端锥距Re53.22417214冠轮参考点大端锥距Rm45.22417214冠轮小端锥距Ri37.22417214刀片方向角δ00.102744778刀位Ex45.73766544刀位值检查045.73766544基圆半径Ey41.47602964qe0.796647034qi0.95867873大端螺旋角βe0.685000398小端螺旋角βi0.375769434大端法向模数Mne1.694041115小端法向模数Mni1.423155797大小端法向模数检验Mne≥Mn继续Mne≥Mi法截面内最大齿槽宽处的锥距Ry56.77234798冠轮齿顶高hao2Hw1.455880937efny11.221783803efny21.221783803efne11.205112624efne21.205112624efni10.779606962efni20.779606962刀顶宽**Sao0.55040.2Mn0.32小端齿面无刮伤检查(efn)min0.779606962(efn)max1.221783803齿槽底不留埂检查3.0Sao1.65123.0(efn)min2.338820886(4)小端略有刮伤时计算βv0.05049954ha02刮伤起点锥距Rv31.11621246qv0.99947606Rv处的螺旋角βv0.041738035∆βv-0.008761505当量齿轮基圆螺旋角βvb0.498632826法面当量小齿轮齿数Zvn112.21534482法面当量大齿轮齿数Zvn2439.7524135高度变位系数*x10.68法面当量小齿轮齿顶压力角αan10.742209523法面当量大齿轮齿顶压力角αan20.353036967小齿轮齿顶滑动比ηa10.619904735大齿轮齿顶滑动比ηa20.45223733小齿轮齿根滑动比ηf1-0.825608159大齿轮齿根滑动比ηf2-1.63091938小轮齿顶大轮齿根滑动比之和ζ1k2.250824114小轮齿根大轮齿顶滑动比之和ζ2k1.277845489克制等滑动比Δζk0.972978625小轮齿顶大轮齿根滑动比之和ζo15.350347787小轮齿根大轮齿顶滑动比之和ζo25.405886286奥制等滑动比Δζo-0.055538499高度变位系数x10.68小轮小端轴颈的直径dz0小轮轴向安装基准面至小端轴颈端面的距离Az0小轮安装距A10Am144.60884861小轮许用最大分度锥角δ1max1.436707462分度锥角修正量Δδ-1.271558785小轮小端法面当量齿数Zvni19.895526089奥制小轮最小高度变位系数x1min0.357731927克制小轮最小高度变位系数x1min0.585192666变位系数终值*x10.68小轮齿顶高*ha12.688大轮齿顶高*ha20.512全齿高*h3.6小轮分度锥角*δ10.165148677大轮分度锥角*δ21.405647649Δh0λ0.173082086切入时刀盘中心横坐标xo26.70772745切入时刀盘中心纵坐标yo37.12992505xe42.70188095ye31.62417214xi33.64893217yi15.62417214RHTr0+ha0*tanαn39.72794047刀盘无干涉的条件OE-16.9152671OI-22.59817982表3-7小轮齿顶变尖检查:dvani119.45887532小轮小端齿顶压力角αvani10.822925833ψvni10.214976492ψvani1-0.025213164小轮小端齿顶厚Sai1-0.4906198150.3Mn0.48小轮小端齿顶变尖检验Sai1≥0.3Mn当Sai10.3Mn时，小轮小端倒坡0.034063.15小轮小端齿顶圆半径减少系数Kj初值Kj=00.2dak18.81887532αak0.790897505ψak0.009718765Sak0.182896235小轮小端齿顶圆半径减少系数K=ΣKj0.2dak118.81887532ΔSai10.297103765Kj20.467460469dvan124.92055171αvan10.742209523ψvn10.16911482ψvan10.009079323Sam10.226261734bk’10.83157815δak0.194683335倒坡宽度*bk10.83630404表3-9齿轮几何尺寸:小轮大端顶圆直径*dae122.80285373大轮大端顶圆直径*dae2105.1683446无倒坡小轮小端顶圆直径*dai117.54208614倒坡后小轮小端顶圆直径daik116.91079403大轮小端顶圆直径*dai273.603739A'e152.5A'e28.75小轮轴向齿宽（无倒坡）bx115.78230278小轮轴向齿宽（倒坡）bxk15.72969511大轮轴向齿宽bx22.630383797LW136.27579274LWk36.32840042LW25.614582514小轮冠顶距Aa152.05809552大轮冠顶距Aa28.244966311小轮安装距*A10小轮安装距*A20小轮轮冠距*Ao1-52.05809552大轮轮冠距*Ao2-8.244966311小轮参考点法向分度圆弧齿厚*Snm13.255273353大轮参考点法向分度圆弧齿厚*Snm21.671274893当量齿轮参数及重合度计算小轮大端端面模数met2.1875参考点端面模数mmt1.858702025参考点分度圆直径dm14.8696162参考点齿根高hfm0.912端面当量齿数Zv8.11035004端面当量齿数比uv36端面当量齿轮分度圆直径dv15.07472405端面当量齿轮中心距av278.8823949端面当量齿轮顶圆直径dva20.45072405端面当量齿轮压力角αvt0.400022832端面当量齿轮基圆直径dvb13.88460628端面当量齿轮基圆齿距pvb5.378285384端面当量齿轮啮合线有效长度gva5.880005184端面当量齿轮端面重合度εvα1.093286199端面当量齿轮纵向重合度εvβ1.619932221总重合度εvγ1.954342629法面当量齿轮分度圆直径dvn19.54455171法面当量齿轮中心距avn361.5742067法面当量齿轮齿顶圆直径dvan24.92055171法面当量齿轮齿根直径dvfn17.72055171法面当量齿轮基圆直径dvbn18.36587102法面当量齿轮啮合线有效长度gvan6.56867431法面当量齿轮重合度εvan1.41745803刀尖圆角半径ρao0刀尖圆角半径最大值ρamax0.547129211表3-8刀盘干涉检查:∆h0λ9.916873037x026.70772745y037.12992505xe42.70188095ye31.62417214xi33.64893217yi15.62417214OE16.9152671OI22.59817982刀盘无干涉条件:OEr0+ha0*tanαn39.72794047OIr0+ha0*tanαn39.72794047表3-10齿轮几何参数输出:齿数z1z28轴交角∑90参考点法向模数Mn1.6齿宽b16参考点螺旋角βm30.59169967法向压力角落αn20齿顶高系数ha*1顶隙系数c*0.25法向齿侧间隙jn0.1高度变位系数x1x20.68切向变位系数xt1xt20分锥角修正量Δδ0大端节圆直径d'e1d'e217.5大端理论顶圆直径dae1dae222.80285373小端理论顶圆直径daik1daik216.91079403小轮倒坡顶锥角δak11.15453343小轮倒坡宽度bk10.83630404节锥角δ'1δ'29.462322208分锥角δ1δ29.462322208齿顶高ha1ha22.688全齿高h3.6参考点法向分度圆弧齿厚Smn1Smn23.255273353安装距A1A20轮冠距A01A02-52.058095521.57079632757.29577951180/pi57.29578sinαn0.342020143cosαn0.9396926210.34906585tanαn0.36397023480.53767779sinδ2’0.986393924COSδ2’0.1643989870.098sinβm0.50891671630.59169967cosβm0.860815762Exmin0Exmax150Rmsinβm23.01533719roRmsinβmOKResinβe33.67351366roResinβeOK初值:x1=0.5初值:xt1=0.1初值:Δδ=0COSΔδ19.462322208COSδ1’0.9863939241.55714256857.295779515.8868421392091.934039Exmax=150sinqe0.71501645.644512790.699108059cosqe0.69910854.928245150.574601858sinqi0.81843339.247631740.816965346cosqi0.57460221.530002620.394515497OKOK(efn)min≥Sao≥0.2MnOK3.0(efn)min≥3.0Sao≥(efn)maxOK取初值βv=βi迭代求解cosβv0.9987251690.5407431122.39141326828.56955646cosβvb0.8782372初值:x1=0.542.5254731620.22752823设目标值Δζk=0对x1单变量求值设目标值Δζo=0对x1单变量求值由设计图取值由设计图取值由设计图取值82.317273970小轮小端无轴颈或Δδ＜0 时，取Δδ=0当x1x1min时,令x1=x1min当x1≥x1min时,令x1=x19.46232220880.537677799.9