船舶静水力曲线计算

船舶静水力曲线计算一、船舶静水力曲线计算任务书1、设计课题1）800t油船静水力曲线图绘制2）9000t油船静水力曲线图绘制3）86.75m简易货船静水力曲线图绘制4）5200hp拖船静水力曲线图绘制5）7000t油船静水力曲线图绘制6）12.5m多功能工作艇静水力曲线图绘制2、设计任务船舶静水力曲线的计算是在完成船舶静力学课程的教学任务下，按照静水力曲线计算课程设计的要求，在提供所设计船舶全套型线图纸的前提下，完成静水力曲线的计算和绘制。3、计算方法（1）计算机程序计算（2）手工计算（包括：梯形法、辛氏法、乞氏法等）。本课程设计计算以梯形法为例，因其原理相同，其余方法在此不做介绍，可参考教材和相关书耒曰。4、完成内容静水力曲线计算书一份及静水力曲线图一张（用A3坐标纸）二、船舶静水力曲线计算指导书本静水力曲线计算指导书以内河20t机动驳计算实例为例。（一）前言静水力曲线是表达船在静水正浮各种吃水情况下的各浮性及初稳性系数，并作为稳性计算、纵倾计算及其他计算的基础。通过计算可得到船舶的各项性能参数，其主要内容见表1。

表1静水力曲线图的内容序号名称符号单位计算公式1排水体积▽m32排水量AtA=P•▽•日海水P=1.025t/m3淡水P=1.0t/m33水线面积AWm24水线面面积形心的纵向位置xfm5浮心纵向位置xBM6浮心垂向位置zBm7横稳心距基线高度zmmIxZm=V+ZB=r+zB8纵稳心距基线高度zmmIyZm=▽+z=r+z9每纵倾1cm的力矩McmkN•m/cmu△・R9.81cm=L^10010每厘米排水量Acmt/cmAm=0.01P・AW・日11水线面系数CW_AC二^^WL・B12舯剖面系数CM_AC=^*7mB・d13方形系数CB_c=▽BL・B・d14棱形系数CP_CP=CB/CM（二）设计前的准备和已知条件1、设计前的预习与准备静水力曲线计算，首先是要熟悉所计算船的主尺度及各船型参数，然后是熟悉各类计算公式，选用计算方法。其次是进行计算，按计算结果绘制曲线图，最后进行检验和修改，完成静水力曲线的计算任务。2、已知条件20t内河机动驳型线图一套，梯形法表格一套，见静水力曲线计算书。（三）设计的主要任务1、计算公式a=i［（y0+y1++yn-1+yn）-十（y0+yn）］梯形法基本式A=i［（y0+y1）+（y1+y2）++（yn-1+yn）］梯形法变上限积分式式中：i—等分坐标间距。注：y1表示各站号的纵坐标值（i=1，...，n）2、静水力曲线计算表格及算例在实际的计算中，采用下述表格很方便。表中附20t内河机动驳计算实例，供同学自己推演。

静水力曲线计算书船名：20t内河机动驳平均吃水d：1.00m总长LOA:17.70m站距i:0.80m垂线间长L：16.00m水线间距h：0.25m型宽B：4.00m水的密度P：（淡水）1t/m3型深D：1.35m附属体系数R:1.006表2计算资料表横剖面站号各水线半宽（mm）01234567890————78035801—-60-7018013301840250420630870161019203400920135015801800195547201400167018151915198059001620183019301980199561020174019101970199520007102518001950199520002000810301840198020002000200091035186019852000200020001010401880199020002000200011102018601975200020002000121000183519602000200020001395017701930199520002000149001700188019701990200015840154017201670194019701674012601470164518051880174008951130131015001675181805507709151100132519020041046055589020———0140510Li(m)13.9014.3214.5914.7816.0016.84Bj(m)2.083.763.984.004.004.00注：填写数据时需作端点修正，如5号水线的0#站半宽3580超过船之半宽是由于端点修正造成的。

表3水线面各参数计算表水线号：1号d=0.25横剖面站号Yi(m)面矩系数惯矩系数面矩函数惯矩函数yi3(I)(II)(III)(IV)=(III)?(V)=(II)x(III)⑴)=(II)x(IV)⑴)=(II)30—-10100———1-0.06-9810.54-4.86020.42-864-3.3626.880.07430.92-749-6.4445.080.77941.4-636-8.450.402.74451.62-525-8.140.504.25261.74-416-6.9627.845.26871.8-39-5.416.205.83281.84-24-3.687.366.23091.86-11-1.861.866.435101.8800006.645111.86111.861.866.435121.835243.677.346.179131.77395.3115.935.545141.704166.827.204.913151.545257.738.503.652161.266367.5645.362.000170.8957496.26543.860.717180.558644.435.200.166190.209811.816.200.00820—10100———才25.03*A1.705442.7167.873修正值=（首项+末项）0.071.175.670.0042=2,-修正值24.960.535437.0467.87计算公式Aw=21・2(II)1・2(V)2(II)Ix=21・2(训)Iy=213.2("I=I-a・X2fyWfc=—WLj•Bj计算结果Aw=39.94m2xf=0.017mIx=36.2m4Iy=447.5m4If=447.5m4C=0.742W注：计算时本表所需张数与选取水线数目相同。

表4静水力曲线计算结果汇总表水线号0123456789吃水d(m)00.250.500.751.001.25排水体积▽（m3）07.6418.2930.0342.9157.20△（包括附属体）（t）07.6918.4030.2143.1757.55水线面积Aw（m2）21.1839.9445.2848.6654.3759.96x(m)0.0210.017-0.0070.013-0.406-0.669xB(m)—0.0180.0100.008-0.057-0.179zB(m)—0.1250.2700.4100.5490.693Zm(m)—4.872.912.242.012.12ZM(m)—58.730.6122.1921.4721.15M(kN•m/cm)—3.083.764.375.536.86△m(t/cm)0.2130.4020.4560.4900.5470.603水线面系数CW0.7320.7420.7800.8230.8500.890舯剖面系数CM—0.7770.8530.8980.9240.939方形系数CB—0.5670.6300.6770.6710.679棱形系数Cp—0.7300.7400.7500.7300.720表5垂向积分计算表水线号djAWi成对和自下至上和▽AiCBiAcmi(I)(II)(III)(W)(V)m)⑴）（伽）(IX)0021.18——00—0.21310.2539.9461.1161.117.647.690.5670.40220.5045.2885.22146.3318.2918.400.6300.45630.7548.6693.94240.2730.0330.210.6770.49041.0054.37103.03343.3042.9143.170.6710.54751.2559.96114.33457.6357.2057.550.6790.6036789计算公式▽—h・(V)/2A-▽・P・pC=A-0.01A・P・piiiBiL*D*dcmiWI注：成对和即前项数字的上一行与本行之和数，下同

表6x计算表B水线号AWTxfiAwt・xfi成对和自下至上和xBi(I)(II)(III)(IV)=(II)X(I)(V)(W)（可）021.180.0210.449———139.940.0170.6791.1281.1280.018245.28-0.007-0.3080.3711.4990.010348.660.0130.6330.3251.8240.008454.37-0.406-22.06-21.43-19.61-0.057559.96-0.669-40.11-62.18-81.78-0.1796789计算公式h(W)XbW・^^表7z计算表B水线号V,成对和自下至上和h(w).V.d.ZBi(I)(II)(I)(W)(V)(W)⑴)=(W)-(V)00———0—17.647.647.640.1250.250.125218.2925.9333.570.2290.500.27330.0348.3381.890.3400.750.41442.9172.95154.840.4511.000.549557.20100.12254.960.5571.250.6936789计算公式ZB.=d—h(w).V.

表8zm及zm计算表水线号▽.IxiIfiriR.zBizmizMi(I)(II)(III)(W)(V)m)(W)（伽）(IX)00———————17.6436.20447.54.7458.580.1254.8758.70218.2948.32555.02.6430.340.272.9130.61330.0354.96654.21.8321.780.412.2422.19442.9162.54897.81.4620.920.5492.0121.47557.2081.871170.51.4320.460.6932.1221.156789计算公式r=-^R=z=r+zz=R+zi▽i▽miiBiMiiBi表9M计算表cm水线号△.r.△.•R.L.Mcmi(I)(II)(I)(IV)=(II)X(III)(V)m)00————17.6958.58450.1914.323.08218.4030.34558.2614.593.76330.2121.78657.9714.784.37443.1720.92903.1216.005.53557.5520.461177.4716.846.866789计算公式M=__i•9.81(kN•m/cm)cmil100i

表10CM、CP计算表水线号水线半宽成对和自下至上和AMi(IDxqCMiCBiCPi(I)(II)(III)(W)(V)(V)(W)(训I)(IX)01.04———————11.882.922.920.730.940.7770.5670.7321.993.876.791.701.990.8530.6300.7432.003.9910.782.703.000.8980.6770.7542.004.0014.783.704.000.9240.6710.7352.004.0018.784.705.000.9390.6790.726789计算公式A=h・(W)C=温、C二下—MiMi(VI)PiCMi(2)静水力曲线的绘制静水力曲线图见下图，一般采用坐标纸绘制。图上纵坐标为吃水，横坐标为厘米读数。图中曲线分布要均匀，不宜挤在一起造成混淆，比例要选择适宜，既要种类少，又要尽可能使图上读到的数字易于换算。绘制曲线的数据均汇总在表4中。1020—每格】中后.中前

表12横剖面面积及其对基线面面积力矩计算表1020—每格】中后.中前横剖面站号：3#水线号半宽值（m）成对和自下至上和横剖面面积3）h-（V）力臂系数(II)X(仲成对和自下至上和面积力矩3)h2«(X)(I)(II)(III)(IV)(V)(W)（可）（伽）(IX)(X)00.40000010.991.391.390.3510.990.990.990.0621.352.343.730.9322.703.694.680.2931.582.936.661.6734.747.4412.120.7641.803.3810.042.5147.2011.9424.061.505