奥利康齿轮计算[共3页].xls

表3-1轴交角90sin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de2105理论直径102.2 pi大轮大端节锥角初值280.537681.405648 423114.614大轮大端节锥距初值Re053.224176齿宽b16理论齿宽 15.9672516参考点法向模数mn1.6理论模数1.6参考点螺旋角初值30-45m0350.610865238 cosm00.81915204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280.537681.405647649 tan26参考点螺旋角m30.59170.533925883 cosm0.860815761 cos6.12574E-173.141593sin20.986394sin20.986394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de2105齿宽*b16参考点法向模数*Mn1.6法向压力角落*n20大轮节锥角*21.405647649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m(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0小轮节锥角*10.165148677小轮大端节圆直径*de117.5小轮参考点节圆直径dm114.8696162小轮参考点节圆直径dm289.21769722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00.102744778刀位Ex45.73766544刀位值检查045.73766544基圆半径Ey41.47602964qe0.796647034qi0.95867873大端螺旋角e0.685000398小端螺旋角i0.375769434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MneMn继续MneMi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v0.05049954ha02刮伤起点锥距Rv31.11621246qv0.99947606Rv处的螺旋角v0.041738035v-0.008761505当量齿轮基圆螺旋角vb0.498632826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an10.742209523法面当量大齿轮齿顶压力角an20.353036967小齿轮齿顶滑动比a10.619904735大齿轮齿顶滑动比a20.45223733小齿轮齿根滑动比f1-0.825608159大齿轮齿根滑动比f2-1.63091938小轮齿顶大轮齿根滑动比之和1k2.250824114小轮齿根大轮齿顶滑动比之和2k1.277845489克制等滑动比k0.972978625小轮齿顶大轮齿根滑动比之和o15.350347787小轮齿根大轮齿顶滑动比之和o25.405886286奥制等滑动比o-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1max1.436707462分度锥角修正量-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*10.165148677大轮分度锥角*21.405647649h00.173082086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*tann39.72794047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vani10.822925833vni10.214976492vani1-0.025213164小轮小端齿顶厚Sai1-0.4906198150.3Mn0.48小轮小端齿顶变尖检验Sai10.3Mn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=00.2dak18.81887532ak0.790897505ak0.009718765Sak0.182896235小轮小端齿顶圆半径减少系数K=Kj0.2dak118.81887532Sai10.297103765Kj20.467460469dvan124.92055171van10.742209523vn10.16911482van10.009079323Sam10.226261734bk10.83157815ak0.194683335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*dai273.603739Ae152.5Ae28.75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vt0.400022832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v1.093286199端面当量齿轮纵向重合度v1.619932221总重合度v1.954342629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van1.41745803刀尖圆角半径ao0刀尖圆角半径最大值amax0.547129211表3-8刀盘干涉检查:h09.916873037x026.70772745y037.12992505xe42.70188095ye31.62417214xi33.64893217yi15.62417214OE16.9152671OI22.59817982刀盘无干涉条件:OEr0+ha0*tann39.72794047OIRmsinmOKResine33.67351366 roResineOK初值:x1=0.5初值:xt1=0.1初值:=0COS19.462322208 COS10.9863939241.55714256857.295779515.8868421392091.934039 Exmax =150sinqe0.71501645.644512790.699108059 cosqe0.69910854.928245150.574601858 sinqi0.81843339.247631740.816965346 cosqi0.57460221.530002620.394515497OKOK(efn)minSao0.2MnOK3.0(efn)min3.0Sao(efn)maxOK取初值v=i迭代求解cosv0.9987251690.5407431122.39141326828.56955646 cosvb0.8782372初值:x1=0.542.5254731620.22752823设目标值k=0对x1单变量求值设目标值o=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0时，取=0当x1x1min时,令x1=x1min当x1x1min时,令x1=x19.46232220880.537677799.916873037RHTOKRHTOK47.150177090.26746046945.31508905注:不倒坡时,K=0设目标值Sai1-0.001OK42.5254731611.15453343当Sai10.3Mn时，小轮小端倒坡由设计图取值由设计图取值大轮89.217697223.088291.9726015542.6900657543.7140657 sinvt0.38943937222.91961998 tanvt0.422820132499.845826 cosvt0.921052103703.6038616704.6278616697.4278616661.1713567amaxOK0.1730820861823.4506361132.250636286.1262612510.6777311OKOK481.616-30.59169967-0.6800105105.168344673.60373980.5376777980.537677790.5121.6712748930-8.244966311表3-6高度变位系数计算X1de2105x10.681820371 初值X1=0.5，目标：克制k=0或奥制o=0Mn1.6b16终值X1=0.68Z18Z248u6901.57079632721.405647649 80.53767779 cos20.16439898710.165148677 9.462322208 cos10.986393924cosn0.939692621m0.533925883 30.59169967 sinm0.508916716 cosmvb28.56955646 0.498632826 cosvb0。