常用齿轮参数计算

ABCD齿数Z11在此输入齿数模数m2.25在此输入模数变位系数X0在此输入变位系数跨齿数k2根据C9的结果在此输入跨测齿数压力角α20在此输入压力角螺旋角β26.5在此输入螺旋角（αn/180）*Z'1.675444919(C5/180)*C362xnctgαn/π0(2*C3*C29)/PI()K跨齿数2.175444919C7+0.5+C8公法线长度Wk10.43862017C40*(C37+C38+C39)端面模数mt2.514150866C2/C31分度圆直径d27.65565952C1*C11齿顶高ha2.251*C2齿顶圆直径da32.15565952C12+2*C2*(1+C3)-2*C11*C18齿根高hf2.81251.25*C2齿根圆直径df22.03065952C12-2*C2*(1.25-C3)全齿高h5.0625(C14-C16)/2总变位系数X∑0在此输入变位系数62与C21比较看能否测量公法线Lsinβ4.657689491SIN(C30)*C10压力角αn20C5压力角(弧度）αn(弧度）0.34906585(C26/180)*PI()压力角渐开线函数invαn0.014904384TAN(C27)-C27压力角正切值tgαn0.363970234TAN(C27)螺旋角弧度β(弧度）0.462512252C6*PI()/180螺旋角余弦值cosβ0.894934362COS(C30)tgαn/cosβ反余切值αt(弧度）0.386269274ATAN(C34)端面压力角渐开线函数invαt0.020431206TAN(C32)-C32检验是否有足够齿宽测量公法线齿宽b≥Lsinβ外啮合高变位斜齿轮公法线长度计算k≈（αn/180）*Z'+0.5+（2xnctgαn）/πWk=mncosαn[π（k-0.5）+Z'invαn+2xntgαn]Z'=invαt/invαntgαn/cosβ0.40670048C29/C31分度圆端面压力角αt22.13159914(C32*180)/PI()假想齿Z'15.07900427C1*(C33/C28)π（k-0.5）4.71238898PI()*(C4-0.5)Z'invαn0.224743268C36*C282xntgαn02*C3*C29mncosαn2.114308397C2*COS(C27)上偏差倍数-10在此输入齿侧间隙上偏差倍数下偏差倍数-16在此输入齿侧间隙下偏差倍数齿距极限偏差fpt0.013在此输入单齿齿距极限偏差齿圈径跳Fr0.04在此输入齿圈径向跳动公法线长度上偏差Ews-0.132010221C41*C43*COS(C26*PI()/180)-0.72*C44*SIN(C26*PI()/180)公法线长度下偏差-0.185605885C45-((C42-C41)*(-1)*C43*COS(C26*PI()/180)-1.44*C44*SIN(C26*PI()/180))公法线长度上限值10.30660995C10+C45公法线长度下限值10.25301428C10+C46棒（球）直径dp4ROUNDUP(1.65*C2,0)invαM0.033771643C33+C52/(C12*COS(C32))+(2*C3*C29)/C1-PI()/(2*C1)0.453359811(C53*3)^(1/3)-C53*3/7.90.487205614TAN(C54)0.23736931(C55)^20.453047387(C53+C54-C55)/C56+C54圆棒（球）中心圆压力角αM25.95770322C57*180/(PI())跨棒（球）距（偶数齿）M（偶）32.90369906C12*COS(C27)/COS(C58*PI()/180)+C52跨棒（球）距（奇数齿）M（奇）32.60950108C12*COS(C27)/COS(C58*PI()/180)*COS(90/C1*PI()/180)+C52M（奇）=d*cosα/cosαM*cos(90/Z)+dpM（偶）=d*cosα/cosαM+dp外啮合变位斜齿轮跨棒（球）距计算invαM=invαt+dp/(d*cosαt)+2*xn*tgαn/z-π/（2*z)dp＝（1.6-1.9）Mn,常用dp=1.68Mn跨棒距上偏差（偶数齿）Ems（偶）-0.332206448C45/SIN(C58*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))跨棒距下偏差（偶数齿）-0.467081044C46/SIN(C58*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))跨棒距最大值（偶数齿）M（偶）32.57149261C60+C63跨棒距最小值（偶数齿）M（偶）32.43661801C60+C64跨棒距上偏差（奇数齿）Ems（偶）-0.328825065C45/SIN(C58*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))*COS(PI()/(2*C1))跨棒距下偏差（奇数齿）-0.462326832C46/SIN(C58*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))*COS(PI()/(2*C1))跨棒距最大值（奇数齿）M（奇）32.28067601C62+C67跨棒距最小值（奇数齿）M（奇）32.14717424C62+C68棒（球）直径dp4ROUNDUP(1.65*C2,0)invαM-0.008757455C33-C74/(C1*C40)+PI()/(2*C1)+2*C3*C29/C1-0.293954857(C75*3)^(1/3)-C75*3/7.9-0.302724936TAN(C76)0.091642387(C77)^2-0.293817101(C75+C76-C77)/C78+C76圆棒（球）中心圆压力角αM-16.83447982C79*180/(PI())跨棒（球）距（偶数齿）M（偶）22.7650228C11*C1*COS(C32)/(COS(C80*PI()/180))-C74跨棒（球）距（奇数齿）M（奇）22.49259346C11*C1*COS(C32)/(COS(C80*PI()/180))*(COS((90/C1)*(PI()/180)))-C74跨棒距上偏差（偶数齿）Ems0.502090198C45/SIN(C80*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))跨棒距下偏差（偶数齿）0.705936972C46/SIN(C80*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))跨棒距最大值（偶数齿）M22.05908583C82-C86跨棒距最小值（偶数齿）M22.2629326C82-C85M（偶）=mt*z*cosαt/cosαMt-dpM（奇）=mt*z*cosαt/cosαMt*cos90/z-dpdp＝（1.6-1.9）Mn,常用dp=1.68Mn内啮合变位斜齿轮跨棒（球）距计算invαM=invαt+dp/(d*cosαt)+2*xn*tgαn/z-π/（2*z)跨棒距上偏差（奇数齿）Ems0.496979644C45/SIN(C80*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))*COS(PI()/(2*C1))跨棒距下偏差（奇数齿）0.698751551C46/SIN(C80*PI()/180)/COS(ASIN((SIN(C6*PI()/180)*COS(C26*PI()/180))))*COS(PI()/(2*C1))跨棒距最大值（奇数齿）M21.79384191C84-C90跨棒距最小值（奇数齿）M21.99561382C84-C89内齿齿顶圆直径da23.15565952C12-2*C2*(1-C3)内齿齿根圆直径df33.28065952C12+2*C2*(1.25+C3)-2*C11*C18外齿固定弦齿高hcn1.682003819C14-0.182*C96外齿固定弦齿厚scn3.12085814C2*COS(C27)^2*(PI()/2+2*C3*TAN(C27))外齿固定弦齿厚上偏差Ess-0.13C41*C43外齿固定弦齿厚下偏差Esi-0.208C42*C43mnanan(rad)ßß(rad)Zxha*0.00000.00000.00000.00000.00000.00000.00000.0000maa(rad)cos(a)Sin(a)cos(ß)tan(ß)tan(an)0.00000.00000.00001.00000.00001.00000.00000.0000ddadbrarbra^2rb^20.00000.00000.00000.00000.00000.000.00d0V(+,-)ße起始长度终止长度d0L(+,-)ßg00.00#DIV/0!#DIV/0!0.0000.00#DIV/0!齿轮参数计算表已知参数F103%A10%B7%C5%D3%160A06.524282.1008/11/13v1162.2512.8孔小：12.3潍柴160Z06.43A42356.7008/9/15V1498.14硬度HRC23，两件有磕碰和毛刺潍柴61600606004580116.8008/9/25V654.08槽有锈斑，公法线大0.01占10%潍柴160Z06.47A96147.3008/9/24V707.04结合面局部粗糙度2.5，占10%潍柴160Z06.41A60190.1008/10/15V342.18潍柴160A06.4928149.8008/10/15V125.83潍柴160Z06.47A100147.3008/10/15V1031.1潍柴160Z06.41A1190.1008/12/3V195.851.8尺寸小潍柴160Z06.43A1356.7008/12/3V367.4与0641A配铰废潍柴160Z06.47A5147.3008/12/4V758.6制造不良潍柴160A06.5410076.4008/11/9V764潍柴累计金额：7606.42备注青岛核工实业公司莱西机械厂质量索赔表索赔金额单价不合格原因不合格分类产品型号数量日期