轴系扭振计算例子

1、1 轴系基本数据轴系布置数据船舶类型海船安装类型螺旋桨中间轴连接方式键槽减振器无弹性联轴器无齿轮箱无总质量数12主支质量数121级分支数02级分支数0柴油机基本参数型号7S60MC制造厂/气缸数目7冲程数2气缸型式直列额定功率(kW)13570额定转速(r/min)105最低稳定转速(r/min)30缸径(mm)600活塞行程(mm)2292往复部件重量(kg)5559平均有效压力(MPa)1.7连杆中心距(mm)2628发火顺序1-7-2-5-4-3-6机械效率0.83第1气缸质量号2螺旋桨基本参数型号Fault制造厂Fault直径(mm)700叶数4盘面比0.7螺距比1.1转动惯量(kg.

2、m2)230螺旋桨所处单元号122 系统当量参数表序号分支号惯量(Kgm2)刚度(MNm/rad)外径(mm)内径(mm)传动比标识10209.00001329.7872672.0115.012010171.00001095.2903672.0115.01气缸#13010171.00001135.0738672.0115.01气缸#24010171.00001054.8523672.0115.01气缸#35010171.00001055.9662672.0115.01气缸#46010171.00001133.7868672.0115.01气缸#57010171.00001165.5012672

3、.0115.01气缸#68010171.00001538.4615620.0115.01气缸#7903901.00003115.2648620.0115.01推力轴1005115.000060.3500480.00.01中间轴110613.9000166.8335590.00.01螺旋桨轴12075197.00001.0000100.00.01螺旋桨3 计算结果3.1 轴系自由振动计算结果(合排)第 1 阶 固有频率 F = 307.66 r/min or 5.13 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10

4、209.00001.0000E+002.1691E+052.1691E+051329.78723.0102.60.32282010171.00009.9984E-011.0554E+071.0771E+071095.29034.076.90.32293010171.00009.9000E-011.0450E+072.1222E+071135.07385.061.50.03024010171.00009.7131E-011.0253E+073.1475E+071054.85236.051.30.07225010171.00009.4147E-019.9381E+064.1413E+071055.

5、96627.044.06.46806010171.00009.0225E-019.5242E+065.0937E+071133.78688.038.50.07227010171.00008.5732E-019.0499E+065.9987E+071165.50129.034.20.03028010171.00008.0585E-018.5066E+066.8494E+071538.461510.030.80.3228903901.00007.6133E-013.0824E+067.1576E+073115.264811.028.00.32291005115.00007.3836E-013.91

6、97E+067.5496E+0760.350012.025.60.0302110613.9000-5.1261E-01-3.2660E+057.5169E+07166.833513.023.70.072212075197.0000-9.6317E-01-7.5169E+07-6.0946E-06-14.022.06.4680第 2 阶 固有频率 F = 1278.21 r/min or 21.31 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+003.7441E+063.7441E

7、+061329.787211.0116.23.37982010171.00009.9718E-011.8169E+081.8544E+081095.290312.0106.50.02433010171.00008.2788E-011.5084E+083.3628E+081135.073813.098.3000005.3162E-019.6864E+074.3315E+081054.852314.091.30.60555010171.00001.2099E-012.2046E+074.5519E+081055.966215.085.200000

8、-3.1007E-01-5.6497E+073.9869E+081133.786816.079.90.02427010171.0000-6.6172E-01-1.2057E+082.7812E+081165.50128010171.0000-9.0035E-01-1.6405E+081.1407E+081538.4615903901.0000-9.7450E-01-6.8102E+074.5973E+073115.26481005115.0000-9.8926E-01-9.0647E+07-4.4675E+0760.3500110613.9000-2.4900E-01-2.7384E+06-4

9、.7413E+07166.833512075197.00003.5196E-024.7413E+07-1.1101E-06-第 3 阶 固有频率 F = 2493.37 r/min or 41.57 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+001.4247E+071.4247E+071329.78722010171.00009.8929E-016.8588E+087.0013E+081095.29033010171.00003.5007E-012.4271E+089.4284

10、E+081135.07384010171.0000-4.8057E-01-3.3319E+086.0965E+081054.85235010171.0000-1.0585E+00-7.3389E+08-1.2423E+081055.96626010171.0000-9.4087E-01-6.5232E+08-7.7655E+081133.78687010171.0000-2.5595E-01-1.7745E+08-9.5401E+081165.50128010171.00005.6259E-013.9005E+08-5.6396E+081538.4615903901.00009.2916E-0

11、12.4708E+08-3.1688E+083115.26481005115.00001.0309E+003.5943E+084.2551E+0760.3500110613.90003.2581E-011.3634E+075.6185E+07166.833512075197.0000-1.0961E-02-5.6185E+07-2.3097E-07-第 4 阶 固有频率 F = 3581.32 r/min or 59.71 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+002.93

12、92E+072.9392E+071329.78722010171.00009.7790E-011.3987E+091.4281E+091095.29033010171.0000-3.2599E-01-4.6628E+089.6185E+081135.07384010171.0000-1.1734E+00-1.6784E+09-7.1650E+081054.85235010171.0000-4.9414E-01-7.0680E+08-1.4233E+091055.96626010171.00008.5372E-011.2211E+09-2.0218E+081133.78687010171.000

13、01.0320E+001.4762E+091.2740E+091165.50128010171.0000-6.1058E-02-8.7334E+071.1867E+091538.4615903901.0000-8.3239E-01-4.5665E+087.3002E+083115.26481005115.0000-1.0667E+00-7.6733E+08-3.7307E+0760.3500110613.9000-4.4854E-01-3.8724E+07-7.6032E+07166.833512075197.00007.1898E-037.6032E+072.8312E-07-第 5 阶 固

14、有频率 F = 4546.74 r/min or 75.81 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+004.7374E+074.7374E+071329.78722010171.00009.6437E-012.2233E+092.2707E+091095.29033010171.0000-1.1088E+00-2.5562E+09-2.8554E+081135.07384010171.0000-8.5722E-01-1.9763E+09-2.2618E+091054.852

15、35010171.00001.2870E+002.9671E+097.0528E+081055.96626010171.00006.1909E-011.4273E+092.1326E+091133.78687010171.0000-1.2618E+00-2.9091E+09-7.7654E+081165.50128010171.0000-5.9556E-01-1.3730E+09-2.1496E+091538.4615903901.00008.0167E-017.0887E+08-1.4407E+093115.26481005115.00001.2641E+001.4657E+092.4951

16、E+0760.3500110613.90008.5070E-011.1838E+081.4333E+08166.833512075197.0000-8.4089E-03-1.4333E+088.0466E-07-第 6 阶 固有频率 F = 5329.03 r/min or 88.86 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+006.5078E+076.5078E+071329.78722010171.00009.5106E-013.0121E+093.0771E+09109

17、5.29033010171.0000-1.8584E+00-5.8855E+09-2.8084E+091135.07384010171.00006.1581E-011.9503E+09-8.5806E+081054.85235010171.00001.4293E+004.5265E+093.6684E+091055.96626010171.0000-2.0448E+00-6.4759E+09-2.8074E+091133.78687010171.00004.3137E-011.3662E+09-1.4412E+091165.50128010171.00001.6680E+005.2825E+0

18、93.8412E+091538.4615903901.0000-8.2885E-01-1.0068E+092.8344E+093115.26481005115.0000-1.7387E+00-2.7693E+096.5187E+0760.3500110613.9000-2.8189E+00-5.3884E+08-4.7365E+08166.833512075197.00002.0229E-024.7365E+08-7.7486E-07-第 7 阶 固有频率 F = 5810.48 r/min or 96.88 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/

19、rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+007.7368E+077.7368E+071329.78722010171.00009.4182E-013.5461E+093.6235E+091095.29033010171.0000-2.3664E+00-8.9098E+09-5.2864E+091135.07384010171.00002.2909E+008.6255E+093.3392E+091054.85235010171.0000-8.7463E-01-3.2931E+094.6031E+071055.96626010171.0000-9.1823E-0

20、1-3.4573E+09-3.4112E+091133.78687010171.00002.0905E+007.8709E+094.4597E+091165.50128010171.0000-1.7360E+00-6.5361E+09-2.0764E+091538.4615903901.0000-3.8629E-01-5.5783E+08-2.6342E+093115.26481005115.00004.5930E-018.6969E+08-1.7646E+0960.3500110613.90002.9698E+016.7490E+094.9845E+09166.833512075197.00

21、00-1.7906E-01-4.9845E+092.0981E-05-第 8 阶 固有频率 F = 5948.58 r/min or 99.19 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+008.1090E+078.1090E+071329.78722010171.00009.3902E-013.7056E+093.7867E+091095.29033010171.0000-2.5182E+00-9.9375E+09-6.1508E+091135.07384010171.000

22、02.9006E+001.1447E+105.2958E+091054.85235010171.0000-2.1198E+00-8.3652E+09-3.0694E+091055.96626010171.00007.8690E-013.1053E+093.5934E+071133.78687010171.00007.5521E-012.9802E+093.0162E+091165.50128010171.0000-1.8327E+00-7.2321E+09-4.2159E+091538.4615903901.00009.0770E-011.3739E+09-2.8421E+093115.264

23、81005115.00001.8200E+003.6119E+097.6984E+0860.3500110613.9000-1.0936E+01-2.6049E+09-1.8350E+09166.833512075197.00006.2896E-021.8350E+09-6.1989E-06-第 9 阶 固有频率 F = 6237.72 r/min or 104.01 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+008.9164E+078.9164E+071329.7872201

24、0171.00009.3295E-014.0482E+094.1374E+091095.29033010171.0000-2.8445E+00-1.2343E+10-8.2055E+091135.07384010171.00004.3845E+001.9025E+101.0820E+101054.85235010171.0000-5.8726E+00-2.5482E+10-1.4663E+101055.96626010171.00008.0129E+003.4770E+102.0107E+101133.78687010171.0000-9.7214E+00-4.2183E+10-2.2076E

25、+101165.50128010171.00009.2200E+004.0007E+101.7931E+101538.4615903901.0000-2.4352E+00-4.0527E+091.3878E+103115.26481005115.0000-6.8901E+00-1.5035E+10-1.1572E+0960.3500110613.90001.2284E+013.2174E+092.0602E+09166.833512075197.0000-6.4218E-02-2.0602E+092.6941E-05-第 10 阶 固有频率 F = 12416.00 r/min or 207.

26、02 Hz序号分支号惯量(kgm2)相对振幅惯性力矩(Nm)弹性力矩(Nm)刚度(MNm/rad)谐次Nc(转/分)相对振幅矢量和10209.00001.0000E+003.5327E+083.5327E+081329.78722010171.00007.3434E-011.2625E+101.2978E+101095.29033010171.0000-1.1114E+01-1.9108E+11-1.7810E+111135.07384010171.00001.4579E+022.5064E+122.3283E+121054.85235010171.0000-2.0614E+03-3.5440E+13-3.3112E+131055.96626010171.00002.9295E+045.0364E+144.7053E+141133.78687010171.0000-3.8571E+05-6.6310E+15-6.1605E+151165.50128010171.00004.9000E+068.4239E+167.8079E+161538.4615903901.0000-4.5851E+07-3.023