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1、完整稳性计算1 计算空船重心高度空船重心高度的估算应参考布置图进行分项估算,具体如下表:表 8.1 空船重量估算空船重量计算重量(t)重心距基线高(m)重心垂向力矩重心纵向位置(m)重心纵向力矩船体重量997.4305.5215506.479舾装重量272.0306.8251856.605机电重量187.6503.575670.849甲板机械47.10011.980564.2581504.25.7168598.190-9.650-14515.812空船储备75.2110.171空船重量合计1579.45.8889298.943-9.650-14515.812空船 重量为1579.4 t2 各载
2、况下重量与重心计算根据文献2的相关规定,液货船需要计算以下6个载况:满载出港、满载入港、压载出港、压载入港、半载出港、半载入港。(其中半载为货舱区域装载一半液货的载况)通过列表分项计算各载况的重量重心、得出相应排水量和吃水、再由静水力曲线查得浮心位置。(1)满载出港表8.2 满载出港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.27液货3675.003.7513781.254.5016537.50燃油52.013.75195.044.50234.05滑油1.563.755.854.507.02淡水40.005
3、.50220.008.25330.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.50-656.25其他小油柜48.002.50120.00-27.75-1332.00合计5391.334.4023728.820.0165.36重心纵向位置:0.01m浮心纵向位置:0.5m(2)满载入港表 8.3 满载入港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.27液货3675.003.7513781.254.5016537.50燃油5.203.751
4、9.504.5023.40滑油0.163.750.594.500.70淡水4.005.5022.008.2533.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.50-656.25其他小油柜48.002.50120.00-27.75-1332.00合计5307.124.4023350.02-0.08-448.60重心纵向位置:-0.08m浮心纵向位置:0.54m(3)压载出港表 8.4 压载出港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.2
5、7液货0.000.000.004.500.00燃油52.013.75195.044.50234.05滑油1.563.755.854.507.02淡水40.005.50220.008.25330.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.50-656.25其他小油柜48.002.50120.00-27.75-1332.00压载水1300.003.254225.0014.7719201.00合计3016.334.7014172.570.902728.86重心纵向位置:0.9m浮心纵向位置:1.47m(4)压载入港表 8.5
6、压载入港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.27液货0.000.000.004.500.00燃油5.203.7519.504.5023.40滑油0.163.750.594.500.70淡水4.005.5022.008.2533.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.50-656.25其他小油柜48.002.50120.00-27.75-1332.00压载水1300.003.754875.0014.7719201.00合计2
7、932.124.9314443.770.762214.90重心纵向位置:0.76m浮心纵向位置:1.5m(5)半载出港表 8.6 半载出港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.27液货1837.501.883445.314.508268.75燃油52.013.75195.044.50234.05滑油1.563.755.854.507.02淡水40.005.50220.008.25330.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.
8、50-656.25其他小油柜48.002.50120.00-27.75-1332.00压载水338.103.321123.1637.0012509.61合计3891.933.7314516.041.104306.22重心纵向位置:1.10 m浮心纵向位置:1.36 m(6)半载入港表 8.7 半载入港重量重心计算重量重心距基线高重心垂向力矩重心纵向位置重心纵向力矩空船重量1555.535.929210.98-9.64-14990.27液货1837.501.883445.314.508268.75燃油5.203.7519.504.5023.40滑油0.163.750.594.500.70淡水4.
9、005.5022.008.2533.00船员及行李1.7312.0020.70-37.50-64.69食品及备品17.5010.00175.00-37.50-656.25其他小油柜48.002.50120.00-27.75-1332.00压载水338.103.321123.1637.0012509.61合计3807.713.7114137.241.003792.26重心纵向位置:1.0 m浮心纵向位置:1.39 m自由液面修正自由液面对稳心高的修正根据文献2的要求,液货船对各个载况的自由液面进行修正值的计算,对稳性高修正值的计算利用下式:h=-i其中: 装载液体的密度 i 自由液面惯性矩 当前
10、载况的排水量计算详见表 8.8表8.8 自由液面对稳心高的修正项目单位满载出港满载到港空载出港空载到港半载出港半载到港液 货 舱 1排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm13.50013.5000.0000.00013.50013.500自由液面横向长度bm6.1256.1250.0000.0006.1256.125液体重量密度it/m31.0501.0501.0501.0501.0501.050自由液面惯性矩i=lb3/12m4258.50258.500.0000.000258.50258.506修正值h=-1/m-0.050
11、-0.0510.0000.000-0.070-0.071燃 油 舱排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm6.6006.6006.6006.6006.6006.600自由液面横向长度bm1.5001.5001.5001.5001.5001.500液体重量密度it/m30.8350.8350.8350.8350.8350.835自由液面惯性矩i=lb3/12m41.8561.8561.8561.8561.8561.856修正值h=-1/m0.0000.000-0.001-0.0010.0000.000淡 水 舱排水量t5391.35
12、307.13016.32932.13891.93807.713自由液面纵向长度lm13.50013.50013.50013.50013.50013.500自由液面横向长度bm1.2001.2002.4002.4002.4002.400液体重量密度it/m31.0001.0001.0001.0001.0001.000自由液面惯性矩i=lb3/12m41.9441.94415.55215.55215.55215.552修正值h=-1/m0.0000.000-0.005-0.005-0.004-0.004压 载 舱排水量t5391.35307.13016.32932.13891.93807.713自
13、由液面纵向长度lm0.0000.00013.50013.5000.0000.000自由液面横向长度bm0.0000.0001.5001.5000.0000.000液体重量密度it/m31.0001.0001.0001.0001.0001.000自由液面惯性矩i=lb3/12m40.0000.0003.7973.7970.0000.000修正值h=-1/m0.0000.000-0.001-0.0010.0000.000液 货 舱 2排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm6.0006.0000.0000.0006.0006.000自
14、由液面横向长度bm5.5005.5000.0000.0005.5005.500液体重量密度it/m31.0501.0501.0501.0501.0501.050自由液面惯性矩i=lb3/12m483.18883.1880.0000.00083.18883.188修正值h=-1/m-0.016-0.0160.0000.000-0.022-0.023燃 油 舱 2排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm3.0003.00012.75012.75012.75012.750自由液面横向长度bm3.9503.9503.9503.9503.9
15、503.950液体重量密度it/m30.8350.8350.8350.8350.8350.835自由液面惯性矩i=lb3/12m415.40715.40765.48265.48265.48265.482修正值h=-1/m-0.002-0.002-0.018-0.019-0.014-0.014压 载 舱 2排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm0.0000.00013.20013.2000.0000.000自由液面横向长度bm0.0000.0006.1006.1000.0000.000液体重量密度it/m31.0001.0001.
16、0001.0001.0001.000自由液面惯性矩i=lb3/12m40.0000.000249.67249.670.0000.000修正值h=-1/m0.0000.000-0.083-0.0850.0000.000压 载 舱 3排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm0.0000.0007.8007.8000.0000.000自由液面横向长度bm0.0000.0006.1006.1000.0000.000液体重量密度it/m31.0001.0001.0001.0001.0001.000自由液面惯性矩i=lb3/12m40.000
17、0.000147.53147.530.0000.000修正值h=-1/m0.0000.000-0.049-0.0500.0000.000压 载 舱 4排水量t5391.35307.13016.32932.13891.93807.713自由液面纵向长度lm0.0000.0006.5006.5006.5006.500自由液面横向长度bm0.0000.0004.0004.0004.0004.000液体重量密度it/m31.0001.0001.0001.0001.0001.000自由液面惯性矩i=lb3/12m40.0000.00034.66734.66734.66734.667修正值h=-1/m0.
18、0000.000-0.011-0.012-0.009-0.009合计-0.441-0.448-0.439-0.451-0.658-0.672自由液面对复原力臂的修正根据文献2 中附录8-II 推荐船舶液体舱柜自由液面横倾力矩计算方法进行复原力臂的修正表 8.9 自由液面对复原力臂的修正项目满载出港满载到港空载出港空载到港半载出港半载到港液 货 舱 1V471.26471.26不修正不修正471.26471.26b6.106.106.106.101.051.051.051.05K0.050.050.050.055391.335307.123891.933807.71Cb1.001.001.001
19、.00l14.4014.4014.4014.40h5.375.375.375.37b/h1.141.141.141.14M1539.761539.761539.761539.76l修正0.030.030.040.04液 货 舱 2V181.50181.50不修正不修正181.50181.50b6.106.106.106.101.051.051.051.05K0.050.050.050.055391.335307.123891.933807.71Cb0.920.920.920.92l6.006.006.006.00h5.375.375.375.37b/h1.141.141.141.14M570.
20、13570.13570.13570.13l修正0.010.010.010.02燃 油 舱 1V50.9750.9750.9750.9750.9750.97b1.501.501.501.501.501.500.840.840.840.840.840.84K0.050.050.050.050.050.055391.335307.123016.332932.123891.933807.71Cb0.960.960.960.960.960.96l6.606.606.606.606.606.60h5.375.375.375.375.375.37b/h0.280.280.280.280.280.28M30.
21、0630.0630.0630.0630.0630.06l修正0.000.000.000.000.000.00燃 油 舱 2V61.1461.1461.1461.1461.1461.14b3.953.953.953.953.953.950.840.840.840.840.840.84K0.050.050.050.050.050.055391.335307.123016.332932.123891.933807.71Cb0.960.960.960.960.960.96l3.003.003.003.003.003.00h5.365.365.365.365.365.36b/h0.740.740.740
22、.740.740.74M95.2795.2795.2795.2795.2795.27l修正0.000.000.000.000.000.00压 载 舱 1V不修正不修正105.11105.11不修正不修正b1.501.501.001.00K0.010.013016.332932.12Cb0.970.97l13.5013.50h5.345.34b/h0.280.28M18.3018.30l修正0.000.00压 载 舱 2V不修正不修正90.5990.59不修正不修正b6.106.101.001.00K0.110.113016.332932.12Cb1.001.00l13.2013.20h1.13
23、1.13b/h5.425.42M596.28596.28l修正0.020.02压 载 舱 3V不修正不修正53.5353.53不修正不修正b6.106.101.001.00K0.110.113016.332932.12Cb1.001.00l7.807.80h1.131.13b/h5.425.42M352.34352.34l修正0.010.01压 载 舱 4V不修正不修正168.35168.35168.35168.35b5.345.345.345.341.001.001.001.00K0.040.040.040.043016.332932.123891.933807.71Cb0.750.750.
24、750.75l6.506.506.506.50h6.506.506.506.50b/h0.820.820.820.82M319.93319.93319.93319.93l修正0.010.010.010.010.260.260.100.100.380.38浮态与初稳性根据文献5 提供的方法列表计算稳性高,详见下表表8.10 初稳性计算表项目符号及公式单位满载出港满载入港空载出港空载入港半载出港半载入港排水量Dt5391.335307.123016.332932.123891.933807.71平均吃水dm4.804.753.022.933.583.51重心纵向坐标XGm0.01-0.080.90
25、0.761.101.00浮心纵向坐标XBm0.500.541.471.501.261.28重心竖向坐标ZGm4.404.404.704.933.733.71纵稳心距基线高ZMLm139.45141.02166.73170.65145.31127.34纵向初稳心高m135.04136.62162.03165.72141.58123.63每厘米纵倾力矩MTCt·m80.9080.5654.3153.9961.2252.31漂心纵向坐标XFm-2.91-2.890.740.81-11.99-11.99纵倾力臂Xg-Xbm-0.49-0.63-0.56-0.74-0.15-0.29纵倾力矩M
26、Tt·m-2635.7-3337.3-1697.3-2178.3-599.26-1096.1纵倾值ddm-0.33-0.41-0.31-0.40-0.10-0.21首吃水增量ddfm-0.17-0.22-0.15-0.20-0.06-0.13尾吃水增量ddam0.150.190.160.210.040.08首吃水dfm4.634.522.862.733.523.37尾吃水dam4.954.943.173.143.613.58横稳心距基线高ZMm6.706.717.857.987.197.25未修正初稳心高GM0m2.302.313.153.053.463.54自由液面修正值dGMm-
27、0.44-0.45-0.44-0.45-0.66-0.67实际初稳心高GMm2.742.763.593.504.124.21上述计算通过首尾吃水差表达了本船各载况下的浮态,浮态以首位吃水差小于船长的0.5%为佳。大倾角稳性计算根据stab 程序计算的结果 绘制稳性横截曲线图 8.1 稳性横截曲线根据稳性横截曲线量取ls静稳性力臂:l=ls-sin-l其中: ls根据稳性横截曲线量得 l自由液面修正力臂计算结果见下表。表 8.11 静稳性力臂计算表满载出港满载入港空载出港zsinlzsinlzsinl10.000.760.320.760.321.010.4020.001.500.631.500.
28、641.980.8930.002.200.682.200.712.901.2040.002.830.632.830.673.721.0550.003.370.433.370.464.440.5560.003.810.133.810.165.02-0.0970.004.13-0.234.13-0.215.44-0.7980.004.33-0.614.33-0.605.70-1.51空载入港半载出港半载入港zsinlzsinlzsinl10.001.01800.40610.65410.53910.65240.554920.002.00510.90081.28841.17901.28501.2078
29、30.002.93121.19511.88341.73301.87851.763240.003.76831.03492.42131.84072.41501.876050.004.49090.53102.88561.61362.87801.647260.005.0770-0.12303.26221.21223.25371.240770.005.5089-0.84193.53970.70803.53040.728980.005.7733-1.57043.70970.14473.69990.1565由上表的计算结果绘制静稳性曲线。进水角计算绘制进水角示意图,量出各水线的进水角,如图图8.8 进水角示
30、意图然后绘出进水角曲线。图 8.9 进水角曲线然后在图上量取各载况的进水角。表 8.13 进水角量值满载出港满载入港空载出港空载入港半载出港半载入港38.939.462.6363.2150.3550.9横摇角计算根据 文献2 8.2.4.1 的要求进行横摇角计算。1=11.75C1C4C2C3C1的计算根据 文献2 8.2.4.2。C1根据横摇周期和船舶航道来查表获得。横摇周期。T=0.55+0.07BsdGMBS其中: Bs所核算装载情况下船舶的最大水线宽度 d所核算装载情况下船舶的吃水GM所核算装载情况下船舶的稳性高横摇周期计算结果(t): 表8.14 横摇周期计算满载出港满载入港空载出港
31、空载入港半载出港半载入港7.2629 7.2609 7.4456 7.6178 6.5174 6.4909 由文献2 上查得C1表8.15 C1满载出港满载入港空载出港空载入港半载出港半载入港0.0810 0.08100.0860 0.0870 0.0890 0.0900C2的计算依照文献2 中8.2.4.3 的内容,C2可以按下式计算:C2=0.21+0.26KGd当C2>1 时 C2 取 1式中 KG所核算装载情况下船舶重心至基线的垂向高度。表 8.16 C2满载出港满载入港空载出港空载入港半载出港半载入港0.4484 0.4511 1.0000 1.0000 0.4808 0.48
32、53 C3的计算依照文献2 中8.2.4.4 的内容,C3可以按下式计算:C3=f+0.0025Bsd其中: f由横摇周期查表获得表 8.17 C3满载出港满载入港空载出港空载入港半载出港半载入港0.0114 0.0115 0.0162 0.0166 0.0142 0.0145 本船不设舭龙骨,因此C4=1。由式:1=11.75C1C4C2C3表 8.18 横摇角计算满载出港满载入港空载出港空载入港半载出港半载入港5.9761 5.9695 7.9397 7.9375 6.0796 6.1217 动稳性计算利用文献9中提供的计算表格计算动稳性力臂的值。表8.12 动稳性力臂计算表满载出港横倾角
33、静稳性臂成对和由上而下和动稳性臂0.00000.00000.00000.00000.000010.00000.31880.31880.31880.022320.00000.62610.94491.26370.088230.00000.67961.30572.56930.179440.00000.63231.31193.88120.270950.00000.42651.05874.93990.344860.00000.12770.55415.49400.383570.0000-0.2258-0.09825.39580.376780.0000-0.6122-0.83804.55780.3182满载
34、入港横倾角静稳性臂成对和由上而下和动稳性臂0.00000.00000.00000.00000.000010.00000.32030.32030.32030.022420.00000.64200.96231.28260.089530.00000.71421.35622.63880.184240.00000.67241.38664.02540.281050.00000.46201.13435.15970.360260.00000.15580.61785.77750.403370.0000-0.2061-0.05035.72730.399880.0000-0.5993-0.80544.92180.3
35、436空载出港横倾角静稳性臂成对和由上而下和动稳性臂0.00000.00000.00000.00000.000010.00000.39930.39930.39930.027920.00000.88981.28901.68830.117930.00001.20232.09203.78030.263940.00001.04742.24976.03000.420950.00000.55451.60197.63190.532860.0000-0.08680.46778.09960.565470.0000-0.7924-0.87927.22040.504080.0000-1.5081-2.30054.9
36、1980.3434空载入港横倾角静稳性臂成对和由上而下和动稳性臂0.00000.00000.00000.00000.000010.00000.40610.40610.40610.028420.00000.90081.30701.71310.119630.00001.19512.09593.80910.265940.00001.03492.23006.03910.421650.00000.53101.56597.60500.530960.0000-0.12300.40808.01300.559470.0000-0.8419-0.96497.04810.492080.0000-1.5704-2.41234.63580.3236半载出港横倾角静稳性臂成对和由上而下和动稳性臂0.00000.00000.00000.00000.000010.00000.53910.53910.53910.037620.00001.17901.71812.25720.157630.00001.73302.91205.16930.360940.00001.84073.57378.74300.610350.00001.61363.454312.19730.851560.00001.21222.825915.
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