船舶靜力學(xué)習(xí)題講解

1、1第一章第第一章第1313小題小題：某船的載重水線首尾對(duì)稱，水線半寬可用數(shù)學(xué)方程式表示。35.1xy?船長，請(qǐng)分別采用定積分法、11站梯形法和11站辛氏第一法來求出水線面面mL60?積，并根據(jù)定積分所得答數(shù)求其它法則計(jì)算結(jié)果的相對(duì)誤差。（船舶半寬值如表1所示）表1各站號(hào)的坐標(biāo)值站號(hào)012345678910x(m)036912151821242730半寬值(m)02.162.733.123.433.703.934.144.334.504.

2、66解：1）定積分23003130015.4195.144mdxxydxS?????2）梯形法和辛氏第一法列表計(jì)算站號(hào)梯形法辛氏第一法i坐標(biāo)值iy辛氏乘數(shù)乘積001012.1648.6422.7325.4633.12412.4843.4326.8653.70414.8063.9327.8674.14416.5684.3328.6694.50418.00104.6614.66總值36.70103.98修正值2.33修正后總值34.37（1

3、）梯形法224.41237.3434mS????（2）辛氏第一法239.41598.1033314mS?????3）各計(jì)算方法的相對(duì)誤差（1）梯形法%7.1121??SSS（2）辛氏第一法%86.0131??SSS3230.5130.5391.5344.6144.6289.2453.9153.9153.9557.6157.600654.5154.5154.5744.9144.9289.8830.2130.2390.6913.6113.6

4、454.410012050總和343.21.11）排水體積：)(34322343101003mV???2）浮心縱向坐標(biāo))(032.0101002.3431.1mxB???3）縱向菱形系數(shù)596.01006.573432?????LAVCMP第二章第第二章第8小題小題：某船設(shè)計(jì)吃水為6m，各水線號(hào)的水線面面積如下表所示，其水線間距為1.2m。請(qǐng)用梯形法列表計(jì)算：設(shè)計(jì)吃水時(shí)船的排水體積V、浮心垂向坐標(biāo)和垂向菱形系Bz數(shù)。VPC水線號(hào)0123

5、45水線面面積（）2m125817601900203021302230解：解：（2分）分）水線號(hào)水線面面積水線面面積①乘數(shù)②面積乘積面積乘積③=①②力臂④縱向力矩縱向力矩⑤=③④01258126296290011760117601760117601760219001190019002380038003203012030203036090609042130121302130485208520522301211151115555755575