深水潜器运动的非解析式数学模型  

A Non-analytic Mathematical Model of Deep-sea Submersible

作　　者：刘正元[1] 沈明学[1] 刘涛[1] 

机构地区：[1]中国船舶科学研究中心,江苏无锡214082

出　　处：《中国造船》2010年第2期92-98,共7页Shipbuilding of China

摘　　要：潜水器通常以大攻角或超大攻角运动,以往的数学模型无法准确描述其运动情况。根据这一情况,提出了一种新型数学模型来描述其运动。数学模型中的流体动力项无须用解析式表示,而是用试验所得数据直接表示。这种模型可称之为"非解析式数学模型",以区别以往以解析式表示的数学模型。论述了上述数学模型计算机仿真的实现。还对潜水器所受的浮力、重力因海水密度的变化而变化进行了非解析式数学描述。这类非解析式数学模型适用于描述潜水器任意攻角的运动。Usually a deep-sea submersible’s desecent/ascent motion belongs to the type of motion at large attack angle or at ultra-large attack angle.This kind of motion cannot be described properly through traditional motion model for underwater bodies.In this paper a new mathematical model is presented,which uses testing data instead of analytic polynomial to describe this kind of deep-sea submersible’s motion.The introduced math model is called as ＂non-analytic mathematical model＂.The simulation method of the non-analytic model is also addressed based on MATLAB/SIMULINK.At last,the paper gives the model of a deep-sea submersible’s buoyancy and weight,which vary with the density of the sea water.

关 键 词：数学模型 运动仿真 潜水器 

分 类 号：U666.1[交通运输工程—船舶及航道工程] TP391.9[交通运输工程—船舶与海洋工程]