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1、 2006 ANSYS, Inc. All rights reserved.1ANSYS, Inc. Proprietary2525th th 2929th th septemberseptember 20020066 2006 ANSYS, Inc. All rights reserved.2ANSYS, Inc. Proprietary目录培训内容:AQWA程序分析能力理论背景模拟技术modelling techniques分析过程分析数据的准备结果的输出内容和解释实例 2006 ANSYS, Inc. All rights reserved.3ANSYS, Inc. Proprietar
2、y客户客户Regulatory BodiesABS (US), Lloyds Register (UK)OperatorsBP, US Navy, NavionEngineering CompaniesJohn Brown Hydrocarbons, Kellog Brown and RootArup Energy, Friede and GoldmanMitsubishi Heavy Industries, Kawasaki Heavy IndustriesPI Rauma, IntecWorley Engineering, IHC Gusto, SBM 2006 ANSYS, Inc. A
3、ll rights reserved.4ANSYS, Inc. Proprietary客户客户Consultants:Armstrong TechnologyJP KennyJJ McMullenMoffatt & NicholNoble DentonHan PadronAtkinsAMOGD2MAtlantiaMoss MaritimeInocean 2006 ANSYS, Inc. All rights reserved.5ANSYS, Inc. ProprietaryAQWA AQWA 程序介绍程序介绍AQWA的程序结构和分析能力的程序结构和分析能力AQWA LINE -3-D diff
4、raction & radiation analysis program for wave force and structure response calculations; hydrostatic analysisAQWA LIBRIUM - Structure equilibrium position and force balance calculations; eigen mode and dynamic stability analysisAQWA FER -Spectral analysis of structure motion (wave frequency or/and d
5、rift frequency) and mooring tension in irregular waves 2006 ANSYS, Inc. All rights reserved.6ANSYS, Inc. ProprietaryAQWA AQWA 程序介绍程序介绍AQWA NAUT -Time domain program for wave frequency structure motion and mooring tension analyses in regular wavesAQWA DRIFT -Time domain program for drift frequency an
6、d wave frequency structure motion and mooring tension analysis in irregular wavesAQWA Graphical Supervisor (AGS) -AQWA pre and post processor; on-line analysisAQWA WAVE -Interface between hydrodynamic program and FE program to transfer wave loads from AQWA LINE to a FE model for structural strength
7、analysis 2006 ANSYS, Inc. All rights reserved.7ANSYS, Inc. ProprietaryAQWA 程序介绍LINELIBRIUMFERNAUTDRIFTWAVEASAS(FE model) General Relations between Programs 2006 ANSYS, Inc. All rights reserved.8ANSYS, Inc. ProprietaryTypical AQWA Model (1) - Moored Tanker 2006 ANSYS, Inc. All rights reserved.9ANSYS,
8、 Inc. ProprietaryTypical AQWA Model (2) - Semi Sub 2006 ANSYS, Inc. All rights reserved.10ANSYS, Inc. ProprietaryAQWA Result (1) - Force & Response Curves 2006 ANSYS, Inc. All rights reserved.11ANSYS, Inc. ProprietaryAQWA Result (2) - Pressure Contour 2006 ANSYS, Inc. All rights reserved.12ANSYS, In
9、c. ProprietaryAQWA Result (3) - Shear Force & Bending Moment 2006 ANSYS, Inc. All rights reserved.13ANSYS, Inc. ProprietaryAQWA LINE 介绍AQWA-LINE 是3D衍射和辐射分析程序通过大量的板格来描述结构在每个板格中心有源点（a source），程序会求解受到如下边界条件时源点的强度:没有水流穿过船体没有水流穿过海底板格为自由面这样就可以在任意点计算出压力和速度 2006 ANSYS, Inc. All rights reserved.14ANSYS, Inc.
10、 ProprietaryAQWA LINE理论AQWA LINE的3D线性波理论假设流体无旋，不可压小波（small wave elevation）速度势能控制方程体的边界条件 2006 ANSYS, Inc. All rights reserved.15ANSYS, Inc. ProprietaryAQWA LINE理论自由表面运动条件 线性化之后自由表面动力条件 2006 ANSYS, Inc. All rights reserved.16ANSYS, Inc. ProprietaryAQWA LINE理论线性化之后组合自由表面条件 海底边界条件 2006 ANSYS, Inc. All
11、rights reserved.17ANSYS, Inc. ProprietaryAQWA LINE理论辐射条件辐射条件是一种物理状态，使波不会在错误的方向上传递，如水穿透船体，从而避免数上的不确定性。数值方法势能项的线性叠加 式中：下标I是入射波，d是衍射波, j=1,2,6 是6个自由度的辐射波，x是单位波幅下结构的运动. 2006 ANSYS, Inc. All rights reserved.18ANSYS, Inc. ProprietaryAQWA LINE理论对于有限水深d，入射波的势能为式中k是波数，定义为:使用脉冲源分布（pulsating source distributio
12、n）求解衍射和辐射波势能 2006 ANSYS, Inc. All rights reserved.19ANSYS, Inc. ProprietaryAQWA LINE理论式中： 是辐射体强度（ source strength）; S 是入水结构面; (x,y,z) 为流域中域点的坐标; (, , ) 是S上源点坐标;G 为格林函数，是求解Laplace方程的基础，并且满足所有边界条件（除了体边界条件）. G 可以表达为: 2006 ANSYS, Inc. All rights reserved.20ANSYS, Inc. ProprietaryAQWA LINEAQWA LINE理论理论 式
13、中 pv 表示积分的principal value; J0 是Bessel函数的第一项 2006 ANSYS, Inc. All rights reserved.21ANSYS, Inc. ProprietaryAQWA LINE理论 在每个板格结构表面上的源强度（source strength）假设为常数，通过体边界条件求解积分方程计算: 对于衍射势能，在结构表面由于入射势能产生的法向速度会变为零，而所减少的法向速度会转化为结构运动. 2006 ANSYS, Inc. All rights reserved.22ANSYS, Inc. ProprietaryAQWA LINE理论压力和第一阶
14、波浪力的计算 一旦计算了源点强度和势能，从线性化的Bernoulli方程中可以计算每个板格的水动力压力: 第一阶波浪力是通过在体表面上进行积分得到的 2006 ANSYS, Inc. All rights reserved.23ANSYS, Inc. Proprietary二阶平均漂浮力计算远场求解（Far field solution） (动量守恒方法，只用于水平力）): 式中 SR 是在流场结构周围的垂直圆柱边界其半径为R， 是SR的流体体积，The mean force is the time average of the above expression and the first o
15、rder term becomes zero. The pressure includes the non-linear term in the Bernoulli equation and therefore will not disappear. AQWA LINE理论 2006 ANSYS, Inc. All rights reserved.24ANSYS, Inc. ProprietaryAQWA LINE理论近场求解 (压力对于六个自由度进行积分方法):式中 WL 为水线位置; r 是相关波表面是相关波表面（relative wave surface elevation）; S0 水
16、下结构表面;X 结构表面的运动; MS 结构的质量;R是结构的旋转矩阵; 是结构中心加速度. 2006 ANSYS, Inc. All rights reserved.25ANSYS, Inc. ProprietaryAQWA LINE理论Quadratic Transfer Function (QTF)Components at both difference and sum frequenciesEach with real and imaginary parts 2006 ANSYS, Inc. All rights reserved.26ANSYS, Inc. ProprietaryAQWA LINE理论In which 2006 ANSYS, Inc. All rights reserved.27ANSYS, Inc. ProprietaryAQWA LINE理论运动方程 结构在波浪中的响应X是通过计算下面方程得到: 式中 Ms 是结构质量, Ma 是附加质量, C 是阻尼, K 流体刚度, F 是波浪力（包括衍射和辐射力）. 2006 ANSYS, Inc. All rig
