转轴的挠度及临界转速计算程序(一)具有集中载荷的两支点轴承的计算(如图2-118)转轴重量:Q=417(kg)L1=74.9转子重量:G1=1310(kg)L2=85.4铁心有效长度:Lfe=55(cm)L=164.8转子外径:D1=54.6(cm)La=36单边气隙:δ=0.2(cm)G2=45弹性模量:E=2.06E+06(MPa)y=0.454490291气隙磁密:Bδ=7342GSz=0.218446602同步转速:n=1500r/min根据y、z值查图2-119功率:P=710kWφ=0.5过载系数:K=2.25b处轴径212、挠度系数计算:单位:cmcm4cmcm3cm3轴a~b段diJiXiXi3Xi3-X(i-1)31141884.7853.129.79129.791215.52831.89056612.11771.5611741.773163215.3617.15000.2113228.654185150.38538.858411.07253410.8615219541.72406379.4500566.18442155.1126000007000008000009000001000000∑Kab=轴c~b段diJiXiXi3Xi3-X(i-1)31141884.7853.129.79129.791215.52831.89056622.912008.98911979.1983185150.38537.954439.93942430.954196393.87406347.9109902.2455462.3522.512574.1821354.9165469.1555566.916219541.72406385.4622835.86457366.7157000008000009000001000000∑Kcb=3、轴在b点的柔度:αbb=4.99225E-06cm/kg1、基本参数:一、绕度及临界转速计算4、磁拉力刚度:K0=49554.06333kg/cm5、初始单边磁拉力:P0=991.0812667kg6、由G1重量引起的b点绕度:f1=0.007881595cm7、滑环重量G2引起的b点绕度:f2=0.000163144cm8、单边磁拉力引起的b点绕度:fδ=0.008495762cm9、轴在b点的总绕度:f=0.016540502cm应小于异步电机同步电机10、转轴临界转速:nkp=2802.141933rpm二、轴的强度计算:1、最大转矩:Mmax=10170.75N.m2、bb点处的弯矩:Mbb=8752.669171N.m3、bb处的交变弯矩应力:σbb=9451105.897N/m24、bb处的剪切应力:τbb=5491172.66N/m2τn=2745586.33N/m2脉动循环下的剪切应力:τ∞=6863965.824N/m25、轴在bb处受到的总负荷应力:σ=16.66671863N/mm2应该小于材料许用[σ]=三、轴承计算:1、转子所受最大径向力:W=2301.081267kg2、a处轴承支承力:Pa=1192.429249kg3、c处轴承支承力:Pc=1045.819095kgLh=1456982.883小时应大于10^5式中:ε=3.33ft=1载荷系数Ff=1.1温度系数c=39600轴承额定动负荷Pi=1045.82当量动负荷4、轴承寿命:(二)带外伸端的两支点轴承的计算(如图2-120)一、基本参数:电枢重量(G1包括转轴中部重量的2/3和滑环的重量在内)转子一重量:G1=10000kgL1=135转子二重量:G2=950kgL2=145转子一铁心长:Lfe1=36cmL3=71转子二铁心长:Lfe2=0cmL=280转子一气隙:δ1=0.1cm弹性模量E=2.06E+06转子二气隙:δ2=0cmD2无铁心输入0或空格转子一外径:D1=130cm转子二外径:D2=0cmD2无铁心输入0或空格转子一气隙磁密:Bδ1=6910GS转子二气隙磁密:Bδ2=0GSD2无铁心输入0或空格额定转速:n=750rpm2、柔度系数计算:轴段cmcm^4cmcm^3cm^3d~c段diJiXiXi3Xi3-X(i-1)3123.916008.1548924.514706.12514706.12522830156.56164096-10610.12533682406.1631.731855.01327759.013400-31855.0135000600070008000900010000∑0Kdc=c~b段diJiXiXi3Xi3-X(i-1)313251445.7614.32924.2072924.20723682406.1697.7932574.83929650.6263771724696.0743335937-896637.83340000-359375000006000007000008000001、基本参数:一、绕度及临界转速计算9000001000000∑Kcb=a~b段diJiXiXi3Xi3-X(i-1)313271576.70957142744274423682406.16886814726787283771724696.07466287496-3939764000-2874965000060000700008000090000100000∑Kab=3、轴的柔度:α11=7.56093E-07cm/kgα22=2.42497E-06cm/kgα12=-8.91046E-07cm/kgα21=-8.91046E-07cm/kg4、转子重量所引起的挠度:b处:f1'=0.006714438cmd处:f2'=-0.006606742cm5、磁拉力刚度:转子一:K1=136812.9233kg/cm转子二:K2=0kg/cm6、初始磁拉力:P1=1368.129233kgP2=0kg7、由磁拉力引起的挠度:F0=1.03954E-12E0=0.896556679b处:f1=0.001153785cmd处:f2=-0.001359721cm8、总挠度:同步机b处:f1=0.007868222cm应该0.008d处:f2=-0.007966462cm应该09、临界转速:一次:nk=3506.387398rpm应该975转轴的挠度及临界转速计算程序(一)具有集中载荷的两支点轴承的计算(如图2-118)(cm)(cm)(cm)(cm)(kg)曲线cmcm-1[Xi3-X(i-1)3]/Ji0.0158060470.6150555471.00413328510.3702657246.339121640000058.34438224[Xi3-X(i-1)3]/Ji0.0158060474.2301062568.2384035378.674287214.41912717947.93334119000073.511071411、基本参数:一、绕度及临界转速计算0.02cm0.016cm55N/mm2小时4、轴承寿命:(二)带外伸端的两支点轴承的计算(如图2-120)(cm)(cm)(cm)(cm)Mpacm-1[Xi3-X(i-1)3]/JiXi2Xi2-X(i-1)2[Xi2-X(i-1)2]/JiXi-Xi-1(Xi-Xi-1)/Ji0.918664587-0.3518347250.33685604300000000.903685905[Xi3-X(i-1)3]/JiXi2Xi2-X(i-1)2[Xi2-X(i-1)2]/JiXi-Xi-1(Xi-Xi-1)/Ji0.056840583204204.490.00397486614.30.00027796311.2813244395459340.80.1133507583.40.00101206-0.5198816461089-8456.29-0.004903061-64.7-3.75139E-0500-10890-3300000000000000000000000001、基本参数:一、绕度及临界转速计算00000000000010.81828337Scb=0.112422554Ncb=0.001252509[Xi3-X(i-1)3]/JiXi2Xi2-X(i-1)2[Xi2-X(i-1)2]/JiXi-Xi-1(Xi-Xi-1)/Ji0.0383364938.236374562-0.22843213100000008.046278924异步机cm应该0.01cmcm应该0cmrpm满足要求