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Now being English, with a passion for aircraft and history, I cannot help but think of the work of Sir Barnes Wallis as I walk and skip stones over the waves. The story goes that prior to the 1943 Dambusters Raid, Sir Barnes Wallis spent weeks and months experimenting with marbles. His goal: to understand the complex physics involved in skipping objects off water before committing to flight tests and scale prototypes. And that got me to thinking, could you simulate a stone skipping on the water? It’s a very simple problem to describe in words, but one that’s very complicated to solve as it involves the modelling of motion dynamics, aerodynamics and hydrodynamics.
1 z- O1 g/ z' Q2 L: S作者想起了著名的巴恩斯沃利斯教授的跳跳炸彈摧毀水壩的歷史事件,作者在想,怎么樣模擬石頭在水面跳躍的過(guò)程呢,用語(yǔ)言來(lái)描述很簡(jiǎn)單,但解決起來(lái)卻很復(fù)雜,因?yàn)樗婕暗竭\(yùn)動(dòng)動(dòng)力學(xué),空氣動(dòng)力學(xué)和流體力學(xué)等等。% S5 c/ L+ b; H( V
/ F7 p+ J# W& U' s# SOnce I returned to the office I gave a call to my good friends at SSA to bounce (pun intended) a few ideas off them. In a strange alignment of happenstance, SSA had given their intern the task of recreating the work of Sir Barnes Wallis using Abaqus from SIMULIA. SSA are masters of FEA, and Abaqus in particular, and they were using the Coupled Eulerian Lagrangian (CEL) method in Abaqus to model the fluid structural interaction of a marble skipping over water.
7 L, s, D# R0 l7 |% ?, S0 o: H于是作者找來(lái)他的朋友,用abaqus來(lái)模擬這一過(guò)程,使用Abaqus中耦合歐拉拉格朗日(CEL)方法來(lái)模擬一個(gè)石頭跳過(guò)水流結(jié)構(gòu)的相互作用。
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, e, O0 r$ N1 g, I0 a/ jPut very simply the CEL method allows engineers and analysts to simulate time dependent processes that involve extreme deformation, or the calculation of the interaction of fluids and structural components amongst other capabilities.
+ s0 U2 f, I6 M1 y6 ~3 S提出很簡(jiǎn)單的CEL方法使工程師和分析模擬涉及到極限形變,和流體和結(jié)構(gòu)部件其中包括功能的相互作用的運(yùn)算時(shí)間附屬進(jìn)程。9 b0 @% `7 `% Z" f7 Z1 ?0 Z; n B s
# S* O" v- @ \In this model, the guys at SSA ‘threw’ a 10cm diameter steel ball with an initial velocity, Vx=10m/s, Vy=1m/s and an angle of attack 5.71° at a 5m long, 2m wide, 0.5m deep strip of water. Gravity was enabled together with the multi-physics response of the ball and water. CEL technology provided the tools for SSA to capture the time dependent aspect of the ball/water interaction in a single dynamic analysis.
- L9 ^' x) p7 l1 _在這個(gè)模型中,投手在SSA'扔'一個(gè)直徑10厘米的不銹鋼球,其初速度 Vx=10米/秒,Vy速度=1米/秒,投擲角度5.71° ,在5米長(zhǎng),2米寬,0.5米水深的條狀水區(qū)域。重力作一起用于球和水的多物理響應(yīng)。 CEL技術(shù)提供的工具對(duì)于SSA捕捉球/水相互作用的時(shí)間依賴(lài)性方面中,單一的動(dòng)態(tài)分析。
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The results SSA were able to generate were amazing. What took Sir Barnes Wallis weeks and months of physical testing SSA recreated in days. I will let the images speak from themselves, but you can clearly see the impact areas, the wash created by each impact, and the number of bounces for each ‘throw’.
2 a8 |9 H5 s9 j: c/ r/ v7 V讓圖像自己說(shuō)話,但你可以清楚地看到影響的領(lǐng)域,每個(gè)沖擊造成的沖洗,和每個(gè)'扔'的數(shù)量的反彈
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1 a; h5 |! g; C% i; y8 OThe analysis allows us to see the rapidly shortening ‘skips’ as the ball loses energy before it finally sinks.
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7 O/ a$ T; S0 J/ ], A$ H9 f" H5 ^The great thing about simulation is that now SSA have a ‘working’ simulation model it is a relatively simple step to throw other objects of varying the initial conditions of the ball to achieve the perfect ‘throw’.+ U2 U" s" c( E, k4 o
Now I don’t claim to be an expert in the application CEL technology, but if you have a problem where you want to capture time varying results, include multi-physics interactions and large displacements/deformations are involved, then CEL technology is the way to go. I am constantly amazed at the power that today’s engineers have available to them. If you can dream it then with SOLIDWORKS and Dassault Systems you can design, test, and validate manufacturing and assembly processes before a single part has been produced.
& t6 u3 ]$ W2 m4 m現(xiàn)在,我不聲稱(chēng)在應(yīng)用CEL技術(shù)方面的專(zhuān)家,但如果你有,你想捕捉時(shí)間變化結(jié)果的問(wèn)題,包括多物理場(chǎng)相互作用和大位移/變形參與,那么CEL技術(shù)的方式去。我經(jīng)常驚訝于當(dāng)今的工程師們提供給他們的權(quán)力。如果你可以想像到,那就用solidworks來(lái)設(shè)計(jì),用abaqus來(lái)驗(yàn)證你的設(shè)計(jì)。 z9 f; c" O6 z5 A" l: W3 F
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