浮體靜力學(xué)課程設(shè)計(jì)

1、浮體靜力學(xué)（一）課程設(shè)計(jì)姓 名：學(xué) 號：班 級：指導(dǎo)教師：完成日期：同組學(xué)生：目錄1 靜水力曲線計(jì)算11.1 計(jì)算原理11.2 計(jì)算過程31.3 計(jì)算結(jié)果42 穩(wěn)性橫截曲線計(jì)算72.1 計(jì)算原理72.2 計(jì)算過程82.3 計(jì)算結(jié)果143 穩(wěn)性校核153.1 設(shè)計(jì)要求153.2 計(jì)算原理163.3 計(jì)算過程及結(jié)果173.3.1靜水力曲線插值173.3.2根據(jù)靜水力曲線及已知數(shù)據(jù)得到計(jì)算表格173.3.3靜穩(wěn)性曲線及動(dòng)穩(wěn)性曲線183.3.4穩(wěn)性校核194 課程設(shè)計(jì)的收獲23課程設(shè)計(jì)1 靜水力曲線計(jì)算1.1 計(jì)算原理采用垂向沿吃水方向積分系統(tǒng)，利用梯形法列表計(jì)算。 （1）水線面面積 （2）漂心縱向坐

2、標(biāo) （3）每厘米吃水噸數(shù)() （4）型排水體積 （5）總排水體積 （6）總排水量 （7）浮心縱向坐標(biāo) （8）浮心垂向坐標(biāo) （9）橫穩(wěn)心縱向坐標(biāo)24 （10）縱穩(wěn)心縱向坐標(biāo)（11）每厘米縱傾力矩近似寫成：（12）水線面系數(shù)（13）方形系數(shù)（14）棱形系數(shù)10站處（15）中橫剖面系數(shù)1.2 計(jì)算過程在excel中分別計(jì)算了0.25m,0.5m,1.0m,1.5m,2.0m,2.5m,3.0m，3.5m吃水處水線面各項(xiàng)幾何要素，主要包括面積、面積矩、橫向慣性矩、縱向慣性矩，這些數(shù)據(jù)經(jīng)過計(jì)算處理后得到15條靜水力曲線的具體數(shù)據(jù)。以1m吃水處為例，說明第一步計(jì)算過程。如表1.1所示。表1.1 1米吃水處

3、計(jì)算用表1米水線計(jì)算表站號水線半寬yi/m乘數(shù)面積乘積×矩臂/m面積乘積×-0.500.250-10.50000.50-1000.500.50-9.5010.1150.50.0575-9-0.51751.50.2480.50.124-8.5-1.05420.4420.750.3315-8-2.65231.0111.01-7-7.0741.59611.596-6-9.57652.0712.07-5-10.3562.41912.419-4-9.67672.69812.698-3-8.09482.90712.907-2-5.81493.06813.068-1-3.068103.0

4、2713.02700112.83112.83112.831122.50912.50925.018132.07412.07436.222141.67311.67346.692151.31811.31856.59160.98310.98365.898170.68210.68274.774180.47510.47583.8190.3780.750.283592.551519.50.3470.50.17359.51.64825200.2870.40.1148101.14820.30.220.30.06610.30.679820.60.1080.150.016210.60.17172總和32.507-9

5、.84723續(xù)表1.1 1米吃水處計(jì)算用表1米水線計(jì)算表站號yi3/m3慣性矩乘積×距中站面距離 x/mx2/m2IT/m4IL/m4-0.500-2144100000-20400000.500-193610010.0015210.00076-183240.00101474.521.50.0152530.007626-172890.010169143.34420.0863510.064763-162560.086351339.45631.0303011.030301-141961.373735791.8444.0653574.065357-121445.420476919.29658

6、.8697438.869743-1010011.82632828614.1549314.15493-86418.87323619.264719.6392919.63929-63626.18572388.512824.5660424.56604-41632.75472186.048928.8779328.87793-2438.5039149.0881027.7355827.735580036.9807701122.6892222.689222430.252345.2961215.7943615.7943641621.05914160.576138.9212618.92126163611.8950

7、1298.656144.6826084.6826088646.243478428.288152.2895292.289529101003.052706527.2160.9498620.949862121441.266483566.208170.3172150.317215141960.422953534.688180.1071720.107172162560.142896486.4190.054010.040508183240.05401367.41619.50.0417820.020891193610.027855250.534200.023640.009456204000.01260818

8、3.6820.30.0106480.00319420.6424.360.004259112.03120.60.001260.00018921.2449.440.00025229.12371總和184.8378246.45048329.4651.3 計(jì)算結(jié)果經(jīng)過進(jìn)一步處理（參見前面計(jì)算原理和excel中計(jì)算過程），得到15條靜水力曲線的匯總表，如表1.2所示。利用CAD制圖，得到靜水力曲線圖如圖1.1所示。表1.2 靜水力曲線數(shù)據(jù)匯總表吃水（m）水線面面積（m2)漂心縱向坐標(biāo)（m）每厘米吃水噸數(shù)TPC（t/cm）型排水體積（m3）總排水體積（m3）總排水量（t）浮心縱向坐標(biāo)（m）浮心垂向坐標(biāo)（m

9、）0.2545.46-3.310.475.685.725.86-3.310.250.581.69-1.040.8421.5821.7122.25-2.230.371130.03-0.611.3374.5174.9576.83-1.190.681.5159.58-1.201.64146.91147.79151.49-1.070.972191.70-2.291.96234.73236.14242.04-1.341.272.5225.47-3.272.31339.02341.06349.58-1.801.583243.96-3.102.50456.38459.12470.60-2.151.883.5

10、256.33-2.672.63581.45584.94599.57-2.312.18續(xù)表1.2 靜水力曲線數(shù)據(jù)匯總表吃水（m）橫穩(wěn)心垂向坐標(biāo)BM(m)縱穩(wěn)心垂向坐標(biāo)BML(m)每厘米縱傾力矩MTC(t*m/cm)水線面系數(shù)CWP方形系數(shù)CB棱形系數(shù)CP中橫剖面系數(shù)CM0.253.62 264.08 0.38 0.1579 0.0789 0.3977 0.1985 0.53.67 201.03 1.11 0.2837 0.1498 0.4257 0.3519 13.31 111.15 2.12 0.4515 0.2587 0.4794 0.5397 1.52.67 75.20 2.83 0.55

11、41 0.3401 0.5204 0.6535 22.32 68.15 4.10 0.6656 0.4075 0.5613 0.7260 2.52.20 66.60 5.79 0.7829 0.4709 0.6069 0.7759 31.94 57.93 6.77 0.8471 0.5282 0.6505 0.8120 3.51.67 50.96 7.59 0.8900 0.5768 0.6877 0.8388 圖1.1 靜水力曲線圖2 穩(wěn)性橫截曲線計(jì)算2.1 計(jì)算原理在大傾角穩(wěn)性狀態(tài)下，初穩(wěn)性公式已經(jīng)不符合實(shí)際情況，所以大傾角狀態(tài)下的靜穩(wěn)性臂能夠表示為l=ls-lg,其中，ls為浮心沿水平橫

12、向移動(dòng)的距離，其數(shù)值完全由排水體積決定，為形狀穩(wěn)性臂，lg=B0Gsin，數(shù)值主要由重心位置決定，為重量穩(wěn)性臂。假設(shè)重心位置取在基線上，即KS=0。此時(shí)，復(fù)原力臂ls=ycos+zsin，lg=zGsin。由所給型值表可以得到各站各吃水不同傾斜角度時(shí)的橫剖面面積、質(zhì)心坐標(biāo)，通過縱向積分法可求出在不同傾角下的排水量、浮心橫向、縱向坐標(biāo)。再由ls=ycos+zsin，算出復(fù)原力臂ls。最后畫出各個(gè)傾斜角度下的ls-曲線圖。旋轉(zhuǎn)點(diǎn)取法：首先選取5條水線（1.0m,1.5m,2m, 2.5m, 3.0m），在最高水線和最低水線之間繪制一圓，保證圓與最高水線和最低水線相切。 再繪制一條水平直線，逆時(shí)針偏

13、轉(zhuǎn)60度，復(fù)制、移動(dòng)使之與圓分別相切。該直線與1000水線、3000水線分別交于兩點(diǎn)，記為A、B，連接A、B，得一直線，該直線與各水線的交點(diǎn)記為偏轉(zhuǎn)點(diǎn)。如圖2.1所示。 圖2.1 船體橫剖線圖和旋轉(zhuǎn)點(diǎn)2.2 計(jì)算過程（1）根據(jù)型值表，取各站橫剖面型值。（2）選擇計(jì)算傾斜水線，假定中心位置和橫傾角間隔大小。 計(jì)算水線選擇3m，2.5m，2m，1.5m和1m。假設(shè)中心位置區(qū)在基線上，橫傾角間隔為10°，分別計(jì)算10°、20°、30°、40°、50°、60°、70°傾斜角時(shí)的排水體積和浮心位置。（3）計(jì)算復(fù)原力臂。根據(jù)面

14、域法分別求出各站橫剖面的面積以及質(zhì)心位置，根據(jù)縱向積分法求出各傾斜水線下的排水體積V和浮心位置B（y，z）。V=-L2L2AsdxL×(Asi-As0+Asn/2)y=Mxoz/VMxoz=-L2L2yAsdxdyiAwi-y0As0+ynAsn/2z=Mxoy/VMxoz=-L2L2zAsdxdziAwi-z0As0+znAsn/2然后根據(jù)假定重心高度zs為零的復(fù)原力臂ls=ycos+zsin計(jì)算復(fù)原力臂。（4）根據(jù)V和ls繪制穩(wěn)性橫截曲線。下面以1.5m水線為例，計(jì)算1.5m處的橫穩(wěn)性，如表2.1。表2.1 1.5m水線穩(wěn)性橫截圖計(jì)算表/°10站號S/mm²y

15、/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)0000000.500021060225146.02081084.8090.1548151.15014111.0602250.1548151.15014143511652400.0191036.9621.4047273.6414513.5116521.4047273.6414565314607527.1023998.83142.8013415.30839615.3146072.8013415.30839686389587615.1478984.49613.9305416.29052416.38

16、95873.9305416.290524107013270591.8594934.44484.150876.55351317.013274.150876.553513125414774525.1026991.78972.8433125.37031715.4147742.8433125.370317143474968340.85761021.4381.1844693.54946413.4749681.1844693.549464161928145145.56381030.9820.2806681.98788311.9281450.2806681.98788318885830.416.684797

17、8.95930.014780.86719210.885830.014780.86719220499817.52.4119972.64580.0012060.4861450.50.2499090.0006030.243073總和35.2429716.7661334.96195計(jì)算結(jié)果/m³/radlsyz140.97190.1745330.6407660.475730.992026/°20站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)0000000.500021325987601.7132129

18、7.2320.7978641.72011311.3259870.7978641.72011343926681855.45861214.3813.3591134.76848913.9266813.3591134.768489656352871012.821161.8515.707536.54736515.6352875.707536.547365866139051143.5991146.1437.5636587.58048316.6139057.5636587.5804831071866121104.9921086.777.9411467.81019717.1866127.9411467.810

19、1971256579591001.8271144.4985.6682966.47552415.6579595.6682966.475524143650316692.98971140.7912.5296324.16424613.6503162.5296324.164246161919090309.00811073.260.5930142.05968311.919090.5930142.05968318833609.936.1829956.18360.0301620.79708410.833610.0301620.797084204742386.3445949.47590.0030090.4502

20、780.50.2371190.0015040.225139總和36.9865734.1919242.14832計(jì)算結(jié)果/m³/radlsyz147.94630.3490661.2584430.9244421.139558/°30站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)0521086.62432.2692583.0021.2674231.3459670.50.2605430.6337110.672984222309931382.5361813.5583.0844274.04603412.2

21、309933.0844274.046034447566591300.1671521.1556.184457.23561314.7566596.184457.235613663375771413.4431425.2048.9578039.03234216.3375778.9578039.032342872313801538.4481395.24111.125110.0895217.2313811.125110.089521077867231485.5461325.93311.5675310.3246717.78672311.5675310.324671263272281395.8291402.8

22、218.8317288.87596916.3272288.8317288.8759691441737091064.7411386.4994.4439195.78684414.1737094.4439195.786844162042636519.3171199.8241.0607752.45080412.0426361.0607752.4508041877563961.3429936.24340.047580.72618710.7756390.047580.72618720442483.912.8777922.63420.0056980.4082510.50.2212420.0028490.20

23、4125總和42.1443355.9398859.44509計(jì)算結(jié)果/m³/radlsyz168.57730.5235991.8547671.3273411.410512/°40站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)017282402468.9842918.684.2669965.0441790.50.864122.1334982.522089235352141826.8622299.3176.4583488.12857813.5352146.4583488.1285784595219

24、41649.4011907.9359.81755611.356415.9521949.81755611.3564674252551725.7241773.44612.8139413.1682917.42525512.8139413.16829882648831822.7441719.29715.0647614.2097918.26488315.0647614.209791088135431760.8191638.95615.5190614.4450118.81354315.5190614.445011274397841699.8891749.35812.6468113.0148417.4397

25、8412.6468113.014841451951031445.3611788.6147.5087989.29203315.1951037.5087989.292033162461920840.31691511.352.0687933.72082212.461922.0687933.72082218709665.195.6964923.00150.0679120.65502210.7096650.0679120.65502220400810.324.1903890.990.0096960.3571180.50.2004050.0048480.178559總和50.8620984.1043290

26、.69143計(jì)算結(jié)果/m³/radlsyz203.44830.6981322.4128581.6535761.783085/°50站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)034612552461.1323303.9598.51860711.435850.51.7306284.2593045.717923251946062039.6582748.62210.5952214.2780115.19460610.5952214.27801474236501865.1162310.21413.84

27、59717.1502217.4236513.8459717.15022687899341911.5362136.58316.8022818.7804218.78993416.8022818.78042896222801978.1092057.00819.0339219.793119.6222819.0339219.793110101696511931.4281985.00519.6419520.18681110.1696519.6419520.186811289009531892.2882130.79116.8431618.9660718.90095316.8431618.9660714670

28、38931733.3582273.5711.6202515.2417716.70389311.6202515.241771636459141349.0312220.184.9184518.09458613.6459144.9184518.09458618638587.5144.8324930.05480.0924880.59392110.6385870.0924880.59392120343072.545.1087854.9190.0154760.2932990.50.1715360.0077380.14665總和62.99163117.6607138.9495計(jì)算結(jié)果/m³/rad

29、lsyz251.96650.8726652.8904211.8678792.20584/°60站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)050422582307.6773483.46511.635917.564530.52.5211295.817958.782265265266072022.7912974.69213.2019619.4146516.52660713.2019619.41465485424161901.6832547.40216.2449721.7609618.54241616.24

30、49721.76096698496481937.5342351.33619.0840323.1598419.84964819.0840323.159848106754941995.1772261.49721.299524.14259110.6754921.299524.1425910112144171965.9142204.68422.0465824.72425111.2144222.0465824.7242512100447931926.7172365.50719.3534823.76103110.0447919.3534823.761031479478851796.4842561.0281

31、4.2782420.3547517.94788514.2782420.354751651638701585.7772783.0638.18874814.3713715.163878.18874814.371371816892971508.8463252.2772.5488885.49406111.6892972.5488885.49406120262256.684.5483821.9740.0221730.2155680.50.1311280.0110870.107784總和74.30668142.0754186.0736計(jì)算結(jié)果/m³/radlsyz297.22671.047198

32、3.1246471.9120142.504129/°70站號S/mm²y/mmz/mmMxoz/m³Mxoy/m³乘數(shù)S*乘數(shù)Mxoz*乘數(shù)Mxoy*乘數(shù)063333202123.793562.90813.4506422.565040.53.166666.72532211.28252275665501946.0883115.78614.7251723.5757517.5665514.7251723.57575494464781866.9082701.26417.6357125.5174319.44647817.6357125.51743610713534

33、1904.4912494.97220.4038326.72997110.7135320.4038326.729978115340821960.2812400.56622.6100427.68833111.5340822.6100427.6883310112144171944.7382358.35721.8091126.4476111.2144221.8091126.447612109583351898.9912524.66520.8097827.66613110.9583320.8097827.666131489397701769.8962742.37115.8224624.5161718.9

34、397715.8224624.516171663755581581.9223054.96110.0856319.4770816.37555810.0856319.477081834367311610.853896.5765.53605813.3914813.4367315.53605813.39148204700731286.0643864.7620.6045441.816720.50.2350360.3022720.90836總和83.58715156.4654227.2008計(jì)算結(jié)果/m³/radlsyz334.34861.221733.1944291.8718832.71813

35、1穩(wěn)性橫截曲線/°/m³ls變化比例10140.97190.64076664.0765920147.94631.258443125.844330168.57731.854767185.476740203.44832.412858241.285850251.96652.890421289.042160297.22673.124647312.464770334.34863.194429319.44292.3 計(jì)算結(jié)果將大家分工合作讀取的5個(gè)吃水處數(shù)據(jù)匯總，得到排水體積和對應(yīng)的ls一系列數(shù)據(jù)點(diǎn)，如表2.2所示。最終得到的穩(wěn)性橫截曲線如圖2.2所示。表2.2 穩(wěn)性橫截曲線數(shù)據(jù)匯總穩(wěn)

36、性橫截曲線1m1.5m2m2.5m3m/°/m³ls/m³ls/m³ls/m³ls/m³ls1064.150.70140.970.64236.980.64350.540.65482.850.662065.911.34147.951.26253.741.27375.841.29511.691.283077.031.90168.581.85281.861.89411.631.91523.621.7440102.132.44203.452.41323.072.48445.432.39531.242.1450146.412.95251.972

37、.89362.052.93468.512.72533.532.4460203.643.26297.233.12393.293.24485.622.92532.102.6570258.203.32334.353.19419.623.48498.023.01527.882.77得到穩(wěn)性橫截圖：圖2.2 穩(wěn)性橫截曲線圖3 穩(wěn)性校核3.1 設(shè)計(jì)要求給出資料：受風(fēng)面積A=166.9m2受風(fēng)面積形心距水線高Zf=2.295m航區(qū)：近海計(jì)算載況：校核以下某一種載況下的穩(wěn)性，與規(guī)范要求值比較，并對結(jié)果的合理性進(jìn)行分析，并提出改善的措施。載況載況載況1載況2載況3載況4載況5載況6載況7載況8載況9載況10排水

38、量Disp.(t)360.1323.9299.7303.1360.1323.9299.7303.1360.1323.9重心垂向坐標(biāo)Zg(m)2.3882.412.5312.5522.8882.912.5313.0523.3883.41重心縱向坐標(biāo)Xg(m)-2.14-1.69-1.69-1.61-2.24-1.79-1.79-1.71-2.34-1.89載況選擇：載況23.2 計(jì)算原理給定某一裝載狀態(tài)的浮態(tài)及初穩(wěn)性的計(jì)算方法為：a、重量和重心位置的計(jì)算，xG,yG,zG,已給出；b、求平均吃水d ，根據(jù)靜水力曲線圖插值得；c、求浮心縱向坐標(biāo)xG，漂心縱向坐標(biāo)xF，橫穩(wěn)心距基線高zM，縱穩(wěn)心距基

39、線高zML，同樣可據(jù)靜水力曲線圖插值得；d、求每厘米縱傾力矩，MTC=*GML/(100*L) ，GML=ZML-ZGe、求縱傾力矩，MT=(XG-XB) ；f、求縱傾值，dd=MT/(100*MTC)；g、求首尾吃水增量，ddF=(L/2-xF)(dd/L)，ddA=-(L/2+xF)(dd/L)；h、求首尾吃水，dF=d+ddF, dA=d+ddA ；i、未修正初穩(wěn)性高，GMo=zM-zG；j、自由液面修正值，dGM；k、修正后初穩(wěn)性高，GM=GMo-dGM。3.3 計(jì)算過程及結(jié)果3.3.1靜水力曲線插值由靜水力曲線插值得出dxBzBxFBMLMTCBM/m³2.38687-1.

40、6922231.51-3.1677767.322445.46832.22932314.114343.3.2根據(jù)靜水力曲線及已知數(shù)據(jù)得到計(jì)算表格表3.1 浮態(tài)與初穩(wěn)性計(jì)算浮態(tài)與初穩(wěn)性計(jì)算項(xiàng)目單位符號及公式計(jì)算結(jié)果排水量t323.9平均吃水md2.38687重心縱向坐標(biāo)mxG-1.69浮心縱向坐標(biāo)mxB-1.692223重心垂向坐標(biāo)mzG2.41縱穩(wěn)心距基線高mzML=BML+zB68.83244縱向初穩(wěn)心高mGML=ZML-ZG66.42244每厘米縱傾力矩t*mMTC=*GML/(100*L)5.378557079漂心縱向坐標(biāo)mxF-3.16777縱傾力臂mXG-XB0.002223縱傾力矩t

41、*mMT=(XG-XB)0.7200297縱傾值mdd=MT/(100*MTC)0.001316734首吃水增量mddF=(L/2-xF)(dd/L)0.000762645尾吃水增量mddA=-(L/2+xF)(dd/L)-0.000554089首吃水mdF=d+ddF2.387632645尾吃水mdA=d+ddA2.386315911橫穩(wěn)心距基線高mzM=BM+zB3.73932未修正初穩(wěn)心高mGMo=zM-zG1.32932自由液面修正值mdGM0實(shí)際初穩(wěn)心高mGM=GMo-dGM1.32932浮態(tài)和初穩(wěn)性計(jì)算結(jié)果：表3.2 浮態(tài)與初穩(wěn)性計(jì)算結(jié)果平均吃水(m)首吃水(m)尾吃水(m)初穩(wěn)心

42、高(m)縱穩(wěn)心高(m)2.386872.3876326452.3863159111.3293266.422443.3.3靜穩(wěn)性曲線及動(dòng)穩(wěn)性曲線繪制靜穩(wěn)性曲線首先根據(jù)老師給的穩(wěn)性插值數(shù)據(jù)，繪制出穩(wěn)性橫截曲線，然后在所繪制的穩(wěn)性橫截曲線上找到對應(yīng)排水量的在不同傾角下的ls，再按式l=ls-zGsin 計(jì)算各傾角下的復(fù)原力臂在繪制該排水量時(shí)的靜穩(wěn)性曲線l=f（）；將所得靜穩(wěn)性曲線積分則可得動(dòng)穩(wěn)性曲線。表3.3 靜穩(wěn)性臂和動(dòng)穩(wěn)性臂計(jì)算裝載情況： 載況序號：2排水量Disp.= 323.9t重心高度Zg= 2.41m橫傾角(m)Zg×(3) (m)(m·°)0.104712

43、042(°)(m·rad)查曲線(2)-(4)(5)的積分和（1）（2）（3）（4）（5）（6）（7）10.00 0.65 0.17 0.41 0.24 1.20 0.02 20.00 1.29 0.34 0.82 0.47 4.76 0.08 30.00 1.91 0.50 1.21 0.71 10.63 0.19 40.00 2.49 0.64 1.54 0.95 18.90 0.33 50.00 2.92 0.77 1.86 1.06 28.96 0.51 60.00 3.16 0.87 2.10 1.06 39.59 0.69 70.00 3.18 0.94 2.2

44、7 0.91 49.48 0.86 由表中數(shù)據(jù)可作出靜穩(wěn)性曲線圖和動(dòng)穩(wěn)性曲線圖，分別如圖3.1和圖3.2所示。圖3.1 靜穩(wěn)性曲線圖圖3.2 動(dòng)穩(wěn)性曲線圖3.3.4穩(wěn)性校核穩(wěn)性橫準(zhǔn)數(shù)K是對船舶穩(wěn)性重要基本要求之一。規(guī)則規(guī)定：船舶在所核算的各種裝載情況下的穩(wěn)性，應(yīng)符合以下不等式：K>1或K=1 式中，K為穩(wěn)性衡準(zhǔn)數(shù)；Mq為最小傾覆力矩（lq為最小傾覆力臂），表示船舶在最危險(xiǎn)情況下抵抗外力矩的極限能力；Mf為風(fēng)壓傾斜力矩（lf為風(fēng)壓傾斜力臂），表示在惡劣海況下風(fēng)對船舶作用的動(dòng)傾力矩（力臂）。最小傾覆力矩Mq（或力臂lq）的計(jì)算根據(jù)課本所給公式，橫搖角滿足以下公式： 式中，C1、C2、C3、C

45、3為系數(shù)，因此要求橫搖角，必須先求各個(gè)系數(shù)：a、 確定C 1:船舶自搖周期滿足：因B/d=7.2m/2.39m=3.01,可查得f取1.03，KG=2.41， GM0=1.33則算出T=3.933s.又船舶在近海航區(qū)，對照課本上的表格可查得T=3.933s時(shí)：C1=0.37b、 確定C 2：=0.13+0.6*2.41/2.39=0.735；c、 確定C 3:C3也根據(jù)B/d查得，B/d=7.2m/2.39m=3.01,查表可得：C3=0.013；d、 確定C 4：由于Ab/LB=9/40/7.2=0.03125=3.125%,則C4=0.57；則橫搖角 =24.23然后根據(jù)數(shù)據(jù)可以繪出風(fēng)浪聯(lián)合作用下的動(dòng)穩(wěn)性曲線圖，如圖3.3圖3.3 風(fēng)浪聯(lián)合作