錐齒輪和準(zhǔn)雙曲面齒輪幾何學(xué)

1錐齒輪和準(zhǔn)雙曲面齒輪幾何學(xué)注1：本文件中使用的符號、術(shù)語和定義已盡可能與其他國際標(biāo)準(zhǔn)一致。由于某些4——齒頂隙，c；m；4de28——軸交角，Σ;2；hamc1，hamc2ham1，ham2大端法向側(cè)隙outernormalbacklashallojenrc0齒根角之和sumofdedendumanglesΣθf等尖寬齒根角之和sumofconstantslotwidthdedendumangles尖寬修正齒根角之和sumofmodifiedslotwidthdedendumangles標(biāo)準(zhǔn)收縮齒根角之和sumofstandarddepthdedendumanglesΣθfS等齒高齒根角之和sumofuniformdepthdedendumanglesΣθfU中點齒根高meandedendumhfm1，hfm2hmhmw旋轉(zhuǎn)方向directionofbchamρmβ刀齒組數(shù)numberofbladegroupsz07齒數(shù)numberofteethz12冠輪齒數(shù)numberofcrowngezp中點法向弦齒厚meannormalcsmnc1，smnc2中點法向弧齒厚meannormalsmn1，smn2ac —8FaxNNFradNf“l(fā)im jenjetjmnjmtkc kd— khfp kt—n1PT1Nm9GB/TXXXXX—XXXX/ISO2350u xhm1 xsm1，xsm2 xsmn—z0 z1 zp—。。。。。。。βe1，βe2。βi1，βi2。βm1，βm2?！鳓?。。。。η。。。v。ρbρlimρP0∑。∑θf。ΣθfC。ΣθfS。ΣθfM。ΣθfU。ζo。ζm。ζmp。ζR。4.1概述4.2齒輪類型4.2.1概述傳動類型由齒輪的安裝位置、可用空間和工況條件4.2.2直齒錐齒輪4.2.3弧齒錐齒輪特別用于高速傳動時，可降低振動和噪聲?；↓X錐齒輪齒面可以進(jìn)行精4.2.4零度齒錐齒輪錐齒輪的機(jī)床上加工。零度錐齒輪齒面也可以進(jìn)行精加工。螺旋角小于10°的錐齒輪有時也歸類為零4.2.5準(zhǔn)雙曲面齒輪4.3傳動比4.4輪齒旋向輪齒螺旋方向的選用原則，是在齒輪工作旋轉(zhuǎn)方向時，在大小輪軸線方向上產(chǎn)生相互推開的關(guān)于準(zhǔn)雙曲面齒輪螺旋方向與偏置方向的選4.5齒輪初始參數(shù)），十分必要的。以下各部分內(nèi)容有助于用戶了解其加工中的相互為此，將幾種相互關(guān)聯(lián)的基本收縮類型定義如下（為齒根線通常繞節(jié)線中點傾斜，以保持中點法截面內(nèi)工5.3.1.2等尖寬收縮齒根角之和公式（C.4表明刀具半徑rc0對根線傾斜影響很——大的刀盤半徑會增大齒根角之和。如果刀盤半徑大太，所產(chǎn)生的收縮在齒高方向上會影響另——小的刀盤半徑會減小齒根角之和。事實上，如果刀盤半徑rc0＝Rm2sinβm2，齒根角之和將變?yōu)榱?，這將變成等高齒。如果rc0＜Rm2sinβm2，會出現(xiàn)齒高的反向收縮。這5.3.1.3尖寬修正(根錐傾斜)5.4齒根角修正a）端面銑削法，；ρP0；ρmβ;5.7準(zhǔn)雙曲面齒輪設(shè)計5.8最一般的齒輪傳動類型5.9準(zhǔn)雙曲面齒輪幾何5.9.2交叉點ΣXXXXaXXXz1,2XXXX——X—de2XX—XXXXXβm1 X— βm2X XXXXXXz0XXXX6.2確定錐齒輪和準(zhǔn)雙曲面齒輪的節(jié)u=z2/z1......................................................................................(1)=arctan...............δ2=Σ-δ1...................................................................................(3)eRe1,2=............................................mRm1,2=Re2-...............................................................................(5)βm1=βm2....................................................................................(6)be2 u=z2/z1......................................................................................(8)βΔ1=βm1...........................................................ΔΣ=Σ-90。..............................................................................(10)((sinη)δint2=arctan...........de2de2-b2sinδint22εi'=arcsin.....................K1=tanβΔ1sinεi'+cosεi'.....................................................................小輪中點半徑近似值，rmn1=.......................................迭代開始mpt2(tanδint2cosmpt2(tanδint2cosΔΣ-sinΔΣ)+rmn1 ε2=arcsin........................δint1=arctan|+tanδint1=arctan|+tanΔΣcosη|.......................................................ε'2=arcsin..............................................................小輪的中點螺旋角，βm,int1(K-cosε')min(K-cosε')mint1（sinε)ΔK=sinε'2(tanβΔ1-tanβmint1)................................................................小輪中點半徑增量，Δrmpt1δ=arctan|δ=arctan|+cosεtanΔΣ|(28)seca(tanβ-tanβ)(sinη)(sinε1)-tanalim++Rm1cosβm1-Rm2cosβm2 ............................................................................(22)(Δr)ε1-sinη)||.........................................ε'1=arcsin............................................................βm1βm2=βm1-..............................................................................(27)2（tanηcosΔΣ1) Rm1=..........................................大輪中點錐距，Rm2Rm2=..............................................小輪中點半徑，rmpt1m1sinδ1.............................................................................(31)極限壓力角，αlimalim=arctan-tanδ2R2..............................................(32)極限曲率半徑，ρlim(tanβtanβ)11plimlimm1(tanβtanβ)11zp=................................................(Rz)v=arcsincosβm2λ=90。-βm2+v...........................................................................(36)冠輪到刀盤中心距，ρΡ0pP0=..................................................η1m2cosβm2(zp+z0)..............................................................zp齒向中點曲率半徑，ρmβpmβm2cosβm2tanβm2+................................齒向中點曲率半徑，ρmβpmβ0..................................................................................(40)迭代結(jié)束齒寬系數(shù)，cbe2cbe2=.......................................v=arctan...................λ=90。-βm2+v...........................................................................(43)u=................................................................小輪節(jié)錐角初次近似值，δ1appδ1app=arctan.............大輪節(jié)錐角初次近似值，δ2appδ2app=Σ-δ1app p..................................................................(47)準(zhǔn)雙曲面尺寸系數(shù)近似值，F(xiàn)app=...........................小輪中點節(jié)圓近似直徑，dm1appdm1app=................................................92=arctan...........................................................(50)冠輪近似中點半徑，Rmapp dm22sin92.............................................................................(51)η193=arctan.............=arctandm2cosζmapp+dpΣΣ-tan(Q32ζmapp)......................δ2=Σ-δ1................................................................................δ2imp=arctan(tanδ2''cosζmapp).............................ηp=arctan.................................................................ηapp=arctan..............ζmimp=arcsin- Ftan ucos(Σ-δ2imp)...................................................ζmpimp=arctan................................................................準(zhǔn)雙曲面尺寸系數(shù)，F(xiàn)F=cosβm2...............................................................+ζmpimp)dm1=.........................................04|||dm2cosζmimp+dm1|dm2cosζmimp+dm1cosΣcosηp-|δ2imp=Σ-δ1imp............................................................................(65)δ2tanδ2''impcosζmpimp)................................................................(66)05=arctanc...........η=arctantanηappsin05(68)pimpη=arctan........................................................(69)小輪軸平面內(nèi)偏置角，ζmζm=arcsin(tanδ2tanη)......................................................................(70)小輪和大輪節(jié)平面內(nèi)偏置角，ζmpζmp=arctan......................................................βm1=βm2+ζmp.............................................................................(72)dm12...........................................................................(73)輔助角，ξξ=arctan(tanΣcosζm)-δ2...................................................................(74)ξ=90。-δ2.............................................................tanξcosζmp).....................................................................(76)Rm1δ1........................................................大輪中點錐距，Rm2Rm2=2.................................................冠輪到刀盤中心距，ρP0pP0=.................................................互補角，φcomp 檢查變量，Rmcheck 迭代結(jié)束齒寬系數(shù)，cbe2cbe2=0.5..............................u=................................................................對于隨后的迭代，從準(zhǔn)雙曲面尺寸系數(shù)F開始F=1..................................................................|sinΣ|sinΣ|δ2=arctan||...................................（u)|F+cos（u)=Σ-δ2.................................................................................(87)迭代開始大輪中點節(jié)圓直徑，dm2dm2e2-b2sinδ2..........................................................................(88)小輪軸平面內(nèi)偏置角，ζm=arcsin(cosζmsinΣcosδ2-cosΣsinδ2).......................................................(90)小輪和大輪節(jié)平面內(nèi)偏置角，ζmpζmp=arcsin...........................................................mmn=...........................................βm1=βm2+ζmp 準(zhǔn)雙曲面齒輪尺寸系數(shù)，F(xiàn) dm1=F......................................................Rm1δ1...........................................................大輪中點錐距，Rm2Rm2=2n輔助角，sm9m=δ2tanζm)A3(βm2-v)A4+9m)cosβm2A5=sinζmpcos9mcosvA7cos(βm2+9m)-中間變量，RmintRmint-Rm1<0.0001Rm1δ2迭代結(jié)束f“l(fā)imxhm1kdkhfpkcxsmnktjmn，jmt2，jen，jet2(1)xhm1ham)|1(x)cham1(x)khapkdkd2kd(1)khfpkc)xsmnxsmntd|kc+|(tananD+tananC)-|ktdm1m1sinδ1..........................................................................(11大輪中點節(jié)圓直徑，dm2dm2m2sinδ2 軸夾角與90°的差值，△Σ:ΔΣ=Σ-90。 小輪軸平面內(nèi)偏置角，ζmζm=arcsindm2+.....................小輪和大輪節(jié)平面內(nèi)偏置角，ζmpζmp=arcsin....................................................apm2sinζmp...........................................................................(115)mmn=.................................alim=-arctantaδ2R............................................(117)anD=adD+falimalim anC=adC-falimalim aeD=anD-alim aeC=anC+alim 大輪大端錐距，Re2Re2+cbe2b2..........................................................................(122)Ri2e2-b2.............................................................................(123)砂輪大端節(jié)圓直徑，de2de2 di2 大端端面模數(shù)，met2met2 計算點到大輪大端的齒寬，be2e2-Rm2 大輪交叉點沿軸線到中點的距離，tzm2tzm2m12-0.5cosζmtzm2m12-0.5cosζmtanΔΣ|dm2+m12|2cosδ1（cosδ1) mmam1,2fm1,2 （138）小輪交叉點沿軸線到中點的距離，tzm1tzm1=cosζmcosΔΣ-tzm2sinΔΣ...........................................................(130)tz1,2=Rm1,2cosδ1,2-tzm1,2 hmw=2hmw=2mmnkhap大輪中點齒頂高，ham2mn(khap-xhm1)大輪中點齒根高，hfm2mn(khfp+xhm1)小輪中點齒頂高，ham1mn(khap+xhm1) 小輪中點齒根高，hfm1mn(khfp-xhm1)mn(khfp-khap)........................................................................(137)mn(khap+kδa2=δ+θa2..........................................=δ-θf2.............................................................................(141)δ=δ=arcsin(sinΔΣsinδ+cosΔΣcosδcosζ) f2zR2f2Rsinθ-hcosθ小輪根錐切平面內(nèi)偏置角，ζRζR=arcsinRm2R-sδf2-QR......................................小輪頂錐切平面內(nèi)偏置角，ζ0-ssδa2-Q0...................δa1=arcsin(sinΔΣsinδf2+cosΔΣcosδf2cosζR) θa1=δa1-δ1...................................................................θf1=δ-δf1...........................................................................（149)大輪頂錐頂點越過交叉點的距離，tzF2tzF2=tz2-tzF2=tz2-m2a2am2a2大輪根錐頂點越過交叉點的距離，tzR2tzR2z2+............................小輪頂錐頂點越過交叉點的距離，tZF1asinζRcosδ-tasinζRcosδ-tsinδ-c小輪根錐頂點越過交叉點的距離，tzR1tzR17.5確定小輪齒寬b1....................................................................................................................................從計算點到前冠的小輪齒寬，b1A....................................................................................................................................小輪齒寬，b1bb2 計算點到大端的小輪齒寬，be1 bb-be1 λ,=arctan.....................小輪齒寬，breri1=..................................(1)mwsinζRΔgxe=cosδa1+Δbx1-(hfm2-c)sinδ1.....................................................cosθa1................................................Δgxi=(1-cbe2)breri1cosδa1+Δbx1+(hfm2-ccosθa1................................................計算點到大端的小輪齒寬，be1am1sinδ1cosθe1cosδa1a1 Δgxi-ham1sinδ1cosδ1-tanθa1sinδ1 11p1mnmp bb+be1...............................1(1+tan2ζmp) 計算點到大端的小輪齒寬，be1 b-be1..............................................................................(169)1-bp1)/2.......................................................................... 計算點到大端的小輪齒寬，be1－bi1 Re21=....................Ri21=....................v=arcsin(z0mmn/2rc0)...............冠輪到刀盤中心距，ρP0RR2+r-2Rm2rc0sin(βm2-v).........................................................i21（i21（pbsinΨi21) (R-pcosΨ)(2Rrsinβ-R2+R2)pb1+sinδ2.........................................................................輔助角，ve21輔助角，vi21-rc（2Ri21pP0)................................................................大端螺旋角，βe21βe21 β=arctan|i21b(Rβ=arctan|i21b大端螺旋角，βe21βe21=arcsin|m2c0m2m2 i21（2Ri21rc0).......................................................i21（2Ri21rc0).......................................................端面滾切法和端面銑削法：節(jié)錐大端偏移角，ζep21節(jié)錐小端偏移角，ζip21ip21（Ri21)........................................................................大端螺旋角，βe1βe1+ζep21........................................................................(R(R-pcosΨ)(R-pcosΨ)(2Rrsinβ-R2+R2)(2Rrsinβ-R2+R2)βi1+ζip21...........................................................................(188)輔助角，φe2=arccos...............（2Ri2pP0).................................................................大端螺旋角，βe2βe2 βi2 大端螺旋角，βe2βe2=arcsin|m2c0m2m2 βi2=arcsin|m2c0m2m2 大端齒頂高，haehae1,2am1,2e1,2tanθa1,2...................................................................fm1,2e1,2tanθf1,2............................................................................................................................................hai1,2am1,2-bi1,2tanθa1,2...................................................................小端齒根高，hfihfi1,2fm1,2-bi1,2tanθf1,2..............................................................................................................................................C+CnC)/2....................................小輪齒厚修正系數(shù)，xsm1x=x-j1Rm2cosβm2sm1smnen4mmncos“nRe2cosβe2........................................................采用大端端面?zhèn)认秊et2計算x=x-jRm2cosβm2sm1smnet24mmnRe2 采用中點法向側(cè)隙jmn計算xsm1=xsmn-jmn.................................................................采用中點端面?zhèn)认秊mt2計算cosβm2....................................................................xsm1smn-cosβm2....................................................................4mmn小輪中點法向弧齒厚，4mmnsmn1mnπ+2mmn(xsm1+xhm1tanCn)........................................大輪齒厚修正系數(shù)，xsm2采用大端法向側(cè)隙jen計算xsm2=-xsmn-jen1Rm2cosβm2.......................................................4mmncosCnRe2cosβe2采用大端端面?zhèn)认秊et2計算Rm2Rm2cosβm2xsm2=-xsmn-jet2................................................................4mmnRe2采用中點法向側(cè)隙jmn計算xsmxsm2=-xsmn-jmn................................................................采用中點端面?zhèn)认秊mt2計算xsm2=-xsmn-jmt2大輪中點法向弧齒厚，smn2cosβm24mmn...................................................................(21smn2mnπ+2mmn(xsm2-xhm1tanan)........................................................(211)smt1,2=smn1,2/cosβm1,2......................................................................(212)dm1,2(1-sin2βm1,2cos2an)cosδ1,2.........................................................smnc1,2=dmn1,2sin(smn1,2/dmn1,2)...............................................................(214)「(s)]+0.5dmn1,2cosδ1,21-cos..........................................Re1e1............................................................................(216)Ri1m1-bi1............................................................................(217)de1=2Re1sinδ1................................................di1=2Ri1sinδ1............................................................aedae1,2=de1,2+2hae1,2cos dfe1,2=de1,2-2hfe1,2cosδ1,2 dai1,2=di1,2+2hai1,2cosδ1,2 dfi1,2=di1,2-2hfi1,2cosδ1,2 e1,2cosδ1,2-hae1,2sinδ1,2 前冠到交叉點的距離，txi1,2txi1,2=tzm1,2-bi1,2cosδ1,2-hai1,2sinδ1,2 t1cosδa1a1f1zR1zF1f1 zF1xo1sin(θ+θ)-(t1cosδa1a1f1zR1zF1f1 Ri1<Re...........................................................Rx2檢查點的大輪螺旋角，βx2βx2x2Qx2...................檢查點的大輪螺旋角，βx2βx2小輪檢查點在節(jié)面中的偏移角，ζxp2xp2（Rx2)ζ=arcsinxp2（Rx2)βx1=βx2+ζxp2...........................................................................(233)dx1x1sinδ1...........................................................................(234)對應(yīng)的大輪檢查點處節(jié)圓直徑，dx2dx2x2sinδ2..........................................................................(235)檢查點的中點法向模數(shù)，mxnmxn=cosβx2........................................................小輪檢查點處的有效直徑，dEx1 對應(yīng)的錐距，REx1REx1=2..............................................znx1檢查點的極限壓力角，“l(fā)imxalimx=-arctantaδ21s............................................(240)工作齒面檢查點的有效壓力角，“eDxaeDx=anD-alimx 非工作齒面檢查點的有效壓力角，“eCxaeCx=anC+alimx 如果aeCx<aeDx：aeminx=aeCx.............................................................................(243)如果aeCx>aeDx：aeminx=aeDx.............................................................................(244)確定小輪計算點的最小輪廓偏移系數(shù)，xhmminx1：檢查點處的檢查工具補償，khapxkhapx=khap+.................................小輪檢查點處的最小變位系數(shù)，xhx1xhx1=1.1khapx-znx1mxaeminx 小輪計算點處的最小變位系數(shù)，xhmminx1xhmminx1=xhx1+.............................................................(247)如果xhm1>xhmminx1，則在檢查點不發(fā)生根切。大輪待檢查點的錐距，Rx2Ri2<Re.................................................檢查點的大輪螺旋角，βx2βx2x2x2............................................................檢查點的大輪螺旋角，βx2βx2檢查點的中點法向模數(shù)，mxndx2x2sinδ2..........................................................................mxn=cosβx2.......................................................................... z2........................................................(1-sin2βx2cos2an)cosβx2cosδ2如果anC<anD:aeminx=anC..............................................................................(255)anC>anD:aeminx=anD..............................................................................(256)確定小輪計算點處的最小變位系數(shù)，xhmminx1：由于xhm2=﹣xhm1因此需要進(jìn)行此檢查以避免大檢查點處的檢查工具補償，khapxkhapx=khap+...............................小輪計算點處的最小變位系數(shù)，xhmmaxx1xhmmaxx1=-1.1khapx-(znx2mxnsin2aeminx2mmn)......................................................如果xhm1>xhmmaxx1，則應(yīng)避免在檢查點發(fā)生根切。），A.2公式集的結(jié)構(gòu)hap、齒根高系數(shù)khfp、齒厚修正系數(shù)xsmn和齒廓偏移系數(shù)Xhm。而AGMA標(biāo)準(zhǔn)使用可用數(shù)據(jù)類型I表示，也可用數(shù)據(jù)類型IIA.3節(jié)錐參數(shù)A.4弧齒錐齒輪和準(zhǔn)雙曲面齒輪尺寸基本數(shù)據(jù)的確定7.2節(jié)中確定了進(jìn)一步計算所需的部分?jǐn)?shù)值。對于準(zhǔn)雙曲面齒輪而言計算點處齒高的確定根錐角和頂錐角的確定大端和小端螺旋角的確定在前錐（Ri1）和背錐（Re1）處計算小輪的螺旋角。為了得到小輪螺旋角，首先需要確定相關(guān)邊界齒厚是根據(jù)外端法向側(cè)隙jen、計算點法向側(cè)隙計算出修正系數(shù)xsm1和xsm2。通常情況下，在計算理論齒厚時側(cè)隙應(yīng)設(shè)為零。A.5根切檢查刀盤上的刀尖運動就相當(dāng)于產(chǎn)形輪的一個齒,產(chǎn)形輪的旋轉(zhuǎn)軸與銑齒機(jī)的搖臺軸線重合，被加工齒確，因此用平面產(chǎn)形輪近似估計根切量是一個很好的解決通常，由于齒向滑移的影響，偏置距不應(yīng)大于大輪大端節(jié)圓直徑的25%，對于重載應(yīng)用場合，偏設(shè)計人員應(yīng)根據(jù)齒輪在預(yù)期壽命下的功率與轉(zhuǎn)T=.............................................................（B.1）P——功率（kW給出了準(zhǔn)雙曲面齒輪小輪的節(jié)圓直徑初值dedeplm1=de1..........................................................（B.2）de1——小輪的大端節(jié)圓直徑，從圖B.2或B.3中取較大者（mma——小輪偏置距（mm）；u——傳動比。δint1=arctan....................................................（B.3）Σ——軸交角。δint2=Σ-δint1...........................................................（B.4）Reint2=2t1.........................................................（B.5）de2=2Reint2sinδint2........................................................（B.6）圖B.3選取或由式（B.2）計算得到小輪大端節(jié)圓直徑。從這兩個尺寸中選 ——GB/TXXXXX—XXXX/ISO2350GB/TXXXXX—XXXX/ISO2350傳動比，u小輪齒數(shù)，z11.0~1.51.5~1.751.75~2.02.0~2.52.5~3.03.0~3.53.5~4.04.0~4.54.5~5.05.0~6.06.0~7.57.5~1099987655|2-||2-|（Re)2|1-|為選取合適的螺旋角，首先應(yīng)根據(jù)式（B.7）和（B.8）計算縱向重合度(b)................................(b)....................................................（B.7）|||||ZReεβ=KZtanβm-tan3βmRe...........................................（B.8）Re——外錐距（mm）；met——端面模數(shù)（mm）；b——齒寬（mm）；βm——中點螺旋角。對于準(zhǔn)雙曲面齒輪副，可使用公式（B.9）計算小輪螺z1de2βm1=25+5+90a..................................................（z1de2βm1——小輪中點螺旋角；GB/TXXXXX—XXXX/ISO2350GB/TXXXXX—XXXX/ISO2350加端面重合度、減小軸向力和分離力、增加根據(jù)應(yīng)用的需求，可以選擇更大或更小的名義壓力角。較小的有效壓力角會增大根切的風(fēng)險。角。嚙合條件完全平衡時，極限壓力角的影響系數(shù)應(yīng)取fαlim=1。工作齒））角至少取25°。為了平衡非工作面和工作齒面的嚙合條件，極限壓力角影響系數(shù)應(yīng)取fαlim=1。為了使用標(biāo)和25°適用于重型傳動場合。GB/TXXXXX—XXXX/ISO235098769876如果沿著整個齒長方向的頂隙都是恒定值的話，在中點齒寬處進(jìn)行計算。通常，頂隙系數(shù)kc取值GB/TXXXXX—XXXX/ISO2350在加工met2=1.27或更小模數(shù)的小模數(shù)齒輪切的中點齒頂高系數(shù)。對于表C.2，應(yīng)計算當(dāng)量η=asin(sinζmcosδ2)······························································(C.9876GB/TXXXXX—XXXX/ISO2350圖C.1齒厚系數(shù)ktGB/TXXXXX—XXXX/ISO2350C.5.1齒根角之和，∑θfΣθfs（Rm2)（Rm2)ΣθfC=Re2taosβm1-Rm2βm2………………(C.4)θθf20GB/TXXXXX—XXXX/ISO2350θf2θf2GB/TXXXXX—XXXX/ISO2350Fmt2Fmt1小輪軸向力，F(xiàn)ax1,DGB/TXXXXX—XXXX/ISO2350（cosβm1大輪軸向力，F(xiàn)ax2,D=tananDsinδ2-tanβm2cosδ2Fmt2·························（cosβm2)小輪軸向力，F(xiàn)ax1,CFax1,C=tananCsinδ1-tanβm1cosδ1Fmt1·····························（cosβm1大輪軸向力，F(xiàn)ax2,C cosβm2=|tananC()|Fmt2···································)對于工作齒面的載荷小輪徑向力，F(xiàn)rad1,DFrad1,D大輪徑向力，F(xiàn)rad2,D(=|tananD(cosδ1) -tanβm1sinδ1|cosδ1)cosβm1)Frad2,D=tananDcosδ2+tanβm2sinδ2Fmt2...............................................（D.8）（cosβm2)對于非工作齒面的載荷小輪徑向力，F(xiàn)rad1,CFrad1，CF大輪徑向力，F(xiàn)rad2,C cosβm1=|tananC()|Fmt1............................................)Frad2,C=tananCcosδ2-tanβm2sinδ2Fmt2......................（D.10）（cosβm2)GB/TXXXXX—XXXX/ISO235負(fù)號(-)表示徑向力的方向指向正在嚙合的齒輪，此時的GB/TXXXXX—XXXX/ISO2350表E.1標(biāo)準(zhǔn)刀盤半徑rc0和刀齒組數(shù)z0z0z0z0175277353577555965595553 3 3 ———————————————————————GB/TXXXXX—XXXX/ISO2350∑90°×××a×××z1,2××× ×—de2×—××××βm1—×——βm235° ×××××z0 ××20°20°fαlim0xhm1 kdkhfp kcxsmn ktjen2.1342°6.4934°GB/TXXXXX—XXXX/ISO2350khfpxsmnu==2.786..............................................δ=Σδ=70.253。........................eRe1,2==93.973mm...................................mRm1,2=Re2=81.273mm..................................................................(Fβm1=β35。..................................................................be2cbe2dm1=54.918mm.....................................dm2=152.987mm........................................GB/TXXXXX—XXXX/ISO235ΔΣ=Σ-90。=0。...................................................................小輪軸平面偏置角，ζmap=Rm2sinζmp=0.000mm mnmmn==3.213mm..................極限壓力角，αlimalim=-arctantaδ2R=0。.......................................(F.14)工作齒面切齒壓力角，αnDanD=adD+f“l(fā)imalim=20。 anC=adC-f“l(fā)imalim=20。..................................................................(F.16)工作面有效壓力角，αeDaeD=anD-alim=20。.....................................................................(F.17)非工作面有效壓力角，αeC Re2 Ri2 大輪的大端面齒頂圓直徑，de2de2 GB/TXXXXX—XXXX/ISO235di2 met2 m2-Ri2=12.700mm.................................................................(F.25)沿大輪軸線交叉點沿軸線到中點的距離，tzm2tzm2m1sinδ2-0.5cosζmtanΔΣdm2+dm1cosδ2=27.459mm..................................(F.26)2cosδ1沿小輪軸線交叉點沿軸線到中點的距離，tzm1tzm1=cosζmcosΔΣ-tzm2sinΔΣ=76.493mm...............................................(F.27)沿軸線節(jié)錐頂點越過交叉點的距離，tz1,2tz1m1cosδ1-tzm1=0mm................................................................(F.28)tz2m2cosδ2-tzm2=0mm................................................................(F.29)=2mmnkhap=6.427mm.................................................................(F.30)khap-xhm1)=1.591mm..........................................................khfp=5.639mm...........................mnkhap=4.836mm.................................小輪的中點齒根高高，hfm1khfp-xhm1)=2.39