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1、附件1：外文資料翻譯譯文 The finite element analysis system development present situation and prospect Ravichandra Patchigolla and Yesh P. Singh Along with the development of modern science and technology, people are constantly build more fast traffic tools, larger buildings, the more big span Br

2、idges, the more power generator sets and more precision mechanical equipment. All these require engineer in the designing phase can accurately predict products and engineering technical performance, need to structure strength and static and dynamic temperature field, flow field, electromagnetic fiel

3、d and seepage analysis of technical parameters. For example analysis and calculation of the high-rise buildings and large span bridge during an earthquake, look at the implications will happen destructive accidents; Analysis and calculation of the temperature field of nuclear reactors, determine whe

4、ther reasonable heat transfer and cooling system; Analysis of fluid dynamics in turbine blade, in order to improve the operation parameters of efficiency. These can be summed up in solving physical control problems partial differential equations is often impossible. In recent years in the computer t

5、echnology and the numerical Analysis method supports developed under Finite Element Analysis (FEA) method and Finite Element, order is to solve the complicated engineering Analysis and calculation problem which provides an effective way. Our country of the ninth five-year plan period in promoting CA

6、D technology, mechanical industry from the prevalence rate of large and medium-sized enterprises CAD 20% of the five-year "end" raised to current 70%. Along with the enterprise CAD widely applied, Engineering and technical personnel, and already gradually dump board will focus in how to optimize the

7、 design, improve product quality, Engineering and Computer Aided Engineering analysis (CAE, Computer software and applicants Engineering) method will be the key technical factors. In engineering practice, finite element analysis software and the integrated application of CAD system make the design l

8、evel occurred a qualitative leap, mainly displays in the following aspects: to increase the design function, reduce design cost; ? shorten design and analysis of cycle; ? increase the reliability of products and engineering; ? adopting the optimization design, reduce material consumption or co

9、st; ? in products manufacturing or engineering construction advance found potential problem; ? simulate various test plan to reduce the time and money; ? mechanical accident analysis, found out the cause of the accident. In promoting CAD technology today, from his bike to the space shuttle,

10、all the design manufacture is inseparable from the finite element calculation and analysis, in the engineering design and analysis FEA will get more and more extensive attention. Below is the San Francisco bay bridge seismic response analysis of finite element analysis model. Development direction

11、 and significant progress in early 20th century world at the end of the 1950s and early 1960s invested a lot of manpower and material resources development with powerful features of finite element analysis program. One of the most famous is by NASA (NASA) in 1965 entruststhe American computing scien

12、ce company and bel air system company developed the NASTRAN finite element analysis system. This system have been developed dozens of version, is the worlds largest, the strongest function finite element analysis system. From then to now, the worlds research institutions and universities are develop

13、ing a batch of smaller but flexible, price lower special or general finite element analysis software, mainly in Germany PAFEC ASKA, British, French SYSTUS, American ABQUS, ADINA, ANSYS, BERSAFE, BOSOR COSMOS, ELAS, MARC, STARDYNE etc products with. Todays international development of the FEA method

14、and software shows the following some trends features: 1 from the pure structure mechanics calculation development to solve many problems of physical field finite element analysis method (from structured matrix analysis, evolved gradually extended to board, shell and entity etc continuum solid mec

15、hanics analysis, the practice has proved it is a very efficient numerical analysis method. And theoretically has also proof, as long as the unit used for solving the object of discrete small enough income can be enough solution in precision value approach. So in recent years has progressed to finite

16、 element method of fluid mechanics, temperature field, electric conduction, magnetic field, seepage and problems solving calculation of acoustic, and recently developed to solve several interdisciplinary problem. For example when air flows through a high tower, and the deformation of the tower in tu

17、rn affect deformation airflow flow... This needs with solid mechanics and fluid dynamic finite element analysis results cross, the so-called "iteration fluidsolid coupled" problem. 2 by solving linear engineering problems progressed to the analysis nonlinear problems with the development of scienc

18、e and technology, linear theory has far cant meet the design requirements. For example the high-rise building and construction industry, the emergence of large-span suspension bridge is asked to consider structure of large displacement and large strain etc geometrically nonlinear; Aerospace and powe

19、r engineering of high temperature parts existing thermal deformation and thermal stress, also want to consider material nonlinear problem; Such as plastic, rubber and composite materials, etc. Various kinds of new material appears, only on linear computation theory would not be sufficient to solve t

20、he problems of using nonlinear finite element algorithm, only to solve. As is known to all, nonlinear numerical calculation is very complex, it involves a lot of special mathematics problems and operation skill, hard as general engineering technicians hands. Therefore in recent years abroad some com

21、pany has spent a lot of manpower and investment and development such as MARC, ABQUS and ADINA specializes in solving nonlinear problems such as the finite element analysis software, and widely used in engineering practice. These software in common is efficient nonlinear solver and rich and practical

22、 nonlinear CaiLiaoKu. 3 enhance visual lead modeling and rear data processing functions early finite element analysis software research emphasis on solving method is a new high efficiency and high accuracy unit. Along with the gradual improvement method of numerical analysis, particularly the rapi

23、d development of computer operation speed, the whole calculation system for solving operations less time, and data preparation and operation result performance problem is getting more and more outstanding. In todays engineering workstation, solving a contains 10 million equation with the finite elem

24、ent model requires only a few minutes. But if use manual way to build the model, and then the calculation result is handling large amounts of time needs a few weeks. It is no exaggeration to say, engineers in analysis and calculation have an engineering problem more than 80% of the energy is spent o

25、n data preparation and analysis of the results. So now almost all the commercial finite element program system has powerful lead modeling and rear data processing module. In emphasizing "visual" today, many procedures are established to very User friendly GUI (with), little User with visual graphic

26、User can quickly way grid directly generate finite element analysis, automatic dividing the data, and required the amount of calculation results consolidation deformation figure, equivalent to cloud, facilitate extremum distribution list of search and required data output. 4 and seamless integrati

27、on of CAD software of finite element analysis system today with general another characteristic is the integration of CAD software in use namely, complete with CAD software components and parts after the modelling design, automatically generating finite element mesh and calculate, if the analysis res

28、ults do not comply with the design requirements are calculated to restart modelling and, until satisfaction, thus greatly improve the design level and efficiency. Today, engineers can in the integration of CAD and FEA software environment quickly solve a in the past can deal with complex engineering

29、 analysis problem. So todays all commercial finite element system developed and famous auto-producers CAD software (for example Pro/e, SolidEdge, SolidWorks Unigraphics, Bentley and AutoCAD, IDEAS, etc) interface. 5 in the development of the Wintel platform of early finite element analysis softwar

30、e are basically in large and medium-sized computers (mainly Mainframe) on the development or operation, and later developed to Engineering workstations (EWS, Engineering WorkStation) as a platform, their common characteristic is all adopt the UNIX operating system. The PC has made the application of

31、 computer fundamental changes happened on her desk, the engineer eager to finish complex engineering analysis dreams to become a reality. But early PC using 16-bit CPU and DOS operating system, the memory data block limited public, so was the size of the calculation model should not exceed 1 000 ord

32、er equation. Microsoft Windows operating system and the Intel Pentium processor 32-bit for will launch the PC provides necessary for finite element analysis software and hardware of the support platform. Therefore the internationally famous finite element program research and development institution

33、s have their software shifted to the Wintel platform. The table below lists the ADINA V7.3 version with the PCs Windows NT environment and SGI workstation and four engineering example calculated the time needed to solve. It shows the latest high-grade PC already and the solving ability of neck-and-n

34、eck EWS cheap. Table V7.3 edition ADINA running time of several machines comparison Characteristics of computational problems Equation several NEQ Running time (in seconds) PentiumII450MHZ PentiumIII450MHZ Engineering workstations Nonlinear 3d contact (calculation step) 51159 2

35、19 188 219 Linear static analysis 58707 262 234 249 Dynamic analysis frequency calculation 31205 311 258 287 Three-dimensional flow analysis 36162 218 183 208 For large and medium-sized computers and EWS in developed on finite element program shifted to PE machine

36、, often need to adopt the Hummingbird company Exceed a simulation software. The result more troublesome, and cant make full use of the PC software and hardware resources. So recently some companies, such as IDEAS, ADINA and R&D began in Windows platform development finite element program, called "Na

37、tive Windows" versions, and on their PCS in the Linux operating system environment development of finite element program packages. Domestic development situation and prospects of the United States in 1979 SAP5 linear structure static, dynamic analysis program to introduce transplant success, domes

38、tic application lifted the universal finite element program to the climax of the analysis and calculation of engineering problems. The climax continued until 1981 ADINA nonlinear structural analysis program has been introduced, at that time many cannot solve engineering problems are solved. Everybod

39、y also began to understand the finite element analysis program is really engineer for the analysis of the application of computer the important tool. But was limited to domestic large and medium-sized computers seldom, only about the hangzhou steam turbine factory Siemens7738 and shenyang blower fac

40、tory IBM4310 installation of the program, so the user calculate very inconvenient and expensive. PCs emergence and its performance miraculously enhance, for transplantation and development PC version of the finite element program provides the necessary operation platform. Say the development of dome

41、stic FEA is always fuss around PC platforms. In domestic development more successful and have more users (100 more) finite element analysis system has dalian university of technology FIFEX95, the department of engineering force of Beijing university of science and engineering mechanics SAP84, China

42、academy of machinery science MAS5.0 and hangzhou automation technology institute MFEP4. 0, etc. But as described above, foreign many famous finite element analysis company has shrugged off to a PC platform from years of development for keen, change the FEA program developers development domestic PC

43、version, and should no longer has the advantage from the following several aspects effort: 1 research and development solution of a solid mechanics and interdisciplinary FEA program after decades of research and development, and to solve the finite element method and the solid mechanics software h

44、as more mature, now the forefront of research problem is fluid dynamics, compressible and non-compressible fluid flow from solid mechanics and interdisciplinary problem. No similar functions to the domestic commercial software, so foreign software, they sell very expensive. In order to break the mon

45、opoly situation, we must develop have independent copyright, used to analyze the fluid is not solid mechanics and interdisciplinary software. Because fluid mechanics problem is far more complex than solid and rarely have a ready-made software can reference, therefore requires a lot of manpower and f

46、unds. It must have countries and large enterprise groups to support. 2 development with Chinese characteristics automatic modeling technology and GUI development modeling technology and the investment than mere the foregoing subject to GUI much less, but can greatly improve the performance of the

47、FEA software and user acceptance, thus plays twice the result with half the effort. The domestic many people in this respect did a lot of work, but it was the PC graphics support environment is limited, therefore the development effect be not all very ideal. Windows provides for OpenGL graphics stan

48、dard, PC application in visual graphics technology to developing GUI provides powerful tools. Todays international OpenGL is generally recognized high-performance graphics and interactive visual processing standards, apply it to the 3d graphics software developed by the endearment of professional an

49、d technical personnel in the world, now dominant computer companies have adopted this standard. As mentioned, in recent years the FEA program has cast abroad some simulation software, directly on Windows platform development finite element program. Hangzhou automation technology institute 1997-1999

50、using OpenGL graphics standard and the corresponding Visual c + + programming tools, such as in PC successfully developed a set of visualization finite element program packages. It can directly through the "menu", "the window", "dialog box" and "icon" visual graphic pictures and symbols such as the

51、operation, automatic establish finite element analysis model in an interactive method, and the calculation results of the type of realizing, and visualization processor can greatly improve the efficiency of limited the analysis and accuracy, also facilitate the user study and control. 3 and has th

52、e independent copyright in front of CAD software integration today had been told, an important feature of the finite element method and seamless integration of CAD software. As the development of our country proper motion, firstly, we must consider the FEA program and our independent copyright CAD s

53、oftware integration. Because the finite element analysis is mainly used in shape more complex components, so want to and with three-dimensional modeling functions and CAD software integration, which makes the design and analysis of combine closely, as a whole. 2：外文原文（復(fù)印件） 有限元分析系統(tǒng)的發(fā)展現(xiàn)狀與展望 隨著

54、現(xiàn)代科學(xué)技術(shù)的發(fā)展，人們正在不斷建造更為快速的交通工具、更大規(guī)模的建筑物、更大跨度的橋梁、更大功率的發(fā)電機(jī)組和更為精密的機(jī)械設(shè)備。這一切都要求工程師在設(shè)計(jì)階段就能精確地預(yù)測(cè)出產(chǎn)品和工程的技術(shù)性能，需要對(duì)結(jié)構(gòu)的靜、動(dòng)力強(qiáng)度以及溫度場(chǎng)、流場(chǎng)、電磁場(chǎng)和滲流等技術(shù)參數(shù)進(jìn)行分析計(jì)算。例如分析計(jì)算高層建筑和大跨度橋梁在地震時(shí)所受到的影響，看看是否會(huì)發(fā)生破壞性事故；分析計(jì)算核反應(yīng)堆的溫度場(chǎng)，確定傳熱和冷卻系統(tǒng)是否合理；分析渦輪機(jī)葉片內(nèi)的流體動(dòng)力學(xué)參數(shù)，以提高其運(yùn)轉(zhuǎn)效率。這些都可歸結(jié)為求解物理問(wèn)題的控制偏微分方程式往往是不可能的。近年來(lái)在計(jì)算機(jī)技術(shù)和數(shù)值分析方法支持下發(fā)展起來(lái)的有限元分析（FEA，F(xiàn)inite

55、 Element Analysis）方法則為解決這些復(fù)雜的工程分析計(jì)算問(wèn)題提供了有效的途徑。我國(guó)在"九五"計(jì)劃期間大力推廣CAD技術(shù)，機(jī)械行業(yè)大中型企業(yè)CAD的普及率從"八五"末的20%提高到目前的70%。隨著企業(yè)CAD應(yīng)用的普及，工程技術(shù)人員已逐步甩掉圖板，而將主要精力投身如何優(yōu)化設(shè)計(jì)，提高工程和產(chǎn)品質(zhì)量，計(jì)算機(jī)輔助工程分析（CAE，Computer Aided Engineering）方法和軟件將成為關(guān)鍵的技術(shù)要素。在工程實(shí)踐中，有限元分析軟件與CAD系統(tǒng)的集成應(yīng)用使設(shè)計(jì)水平發(fā)生了質(zhì)的飛躍，主要表現(xiàn)在以下幾個(gè)方面：增加設(shè)計(jì)功能，減少設(shè)計(jì)成本； ?縮短設(shè)計(jì)和分析的循環(huán)周期； ?增加產(chǎn)品

56、和工程的可靠性； ?采用優(yōu)化設(shè)計(jì)，降低材料的消耗或成本； ?在產(chǎn)品制造或工程施工前預(yù)先發(fā)現(xiàn)潛在的問(wèn)題； ?模擬各種試驗(yàn)方案，減少試驗(yàn)時(shí)間和經(jīng)費(fèi)； ?進(jìn)行機(jī)械事故分析，查找事故原因。 在大力推廣CAD技術(shù)的今天，從自行車到航天飛機(jī)，所有的設(shè)計(jì)制造都離不開(kāi)有限元分析計(jì)算，F(xiàn)EA在工程設(shè)計(jì)和分析中將得到越來(lái)越廣泛的重視。下圖是美國(guó)舊金山海灣大橋地震響應(yīng)計(jì)算的有限元分析模型。 發(fā)展方向及重大進(jìn)展國(guó)際上早20世紀(jì)在50年代末、60年代初就投入大量的人力和物力開(kāi)發(fā)具有強(qiáng)大功能的有限元分析程序。其中最為著名的是由美國(guó)國(guó)家宇航局（NASA）在1965年委托美國(guó)計(jì)算科學(xué)

57、公司和貝爾航空系統(tǒng)公司開(kāi)發(fā)的NASTRAN有限元分析系統(tǒng)。該系統(tǒng)發(fā)展至今已有幾十個(gè)版本，是目前世界上規(guī)模最大、功能最強(qiáng)的有限元分析系統(tǒng)。從那時(shí)到現(xiàn)在，世界各地的研究機(jī)構(gòu)和大學(xué)也發(fā)展了一批規(guī)模較小但使用靈活、價(jià)格較低的專用或通用有限元分析軟件，主要有德國(guó)的ASKA、英國(guó)的PAFEC、法國(guó)的SYSTUS、美國(guó)的ABQUS、ADINA、ANSYS、BERSAFE、BOSOR、COSMOS、ELAS、MARC和STARDYNE等公司的產(chǎn)品。當(dāng)今國(guó)際上FEA方法和軟件發(fā)展呈現(xiàn)出以下一些趨勢(shì)特征： 1 從單純的結(jié)構(gòu)力學(xué)計(jì)算發(fā)展到求解許多物理場(chǎng)問(wèn)題有限元分析方法最早是從結(jié)構(gòu)化矩陣分析發(fā)展而來(lái)，逐步

58、推廣到板、殼和實(shí)體等連續(xù)體固體力學(xué)分析，實(shí)踐證明這是一種非常有效的數(shù)值分析方法。而且從理論上也已經(jīng)證明，只要用于離散求解對(duì)象的單元足夠小，所得的解就可足夠逼近于精確值。所以近年來(lái)有限元方法已發(fā)展到流體力學(xué)、溫度場(chǎng)、電傳導(dǎo)、磁場(chǎng)、滲流和聲場(chǎng)等問(wèn)題的求解計(jì)算，最近又發(fā)展到求解幾個(gè)交叉學(xué)科的問(wèn)題。例如當(dāng)氣流流過(guò)一個(gè)很高的鐵塔產(chǎn)生變形，而塔的變形又反過(guò)來(lái)影響到氣流的流動(dòng)……這就需要用固體力學(xué)和流體動(dòng)力學(xué)的有限元分析結(jié)果交叉迭代求解，即所謂"流固耦合"的問(wèn)題。 2 由求解線性工程問(wèn)題進(jìn)展到分析非線性問(wèn)題隨著科學(xué)技術(shù)的發(fā)展，線性理論已經(jīng)遠(yuǎn)遠(yuǎn)不能滿足設(shè)計(jì)的要求。例如建筑行業(yè)中的高層建筑和大跨度懸索

59、橋的出現(xiàn)，就要求考慮結(jié)構(gòu)的大位移和大應(yīng)變等幾何非線性問(wèn)題；航天和動(dòng)力工程的高溫部件存在熱變形和熱應(yīng)力，也要考慮材料的非線性問(wèn)題；諸如塑料、橡膠和復(fù)合材料等各種新材料的出現(xiàn)，僅靠線性計(jì)算理論就不足以解決遇到的問(wèn)題，只有采用非線性有限元算法才能解決。眾所周知，非線性的數(shù)值計(jì)算是很復(fù)雜的，它涉及到很多專門的數(shù)學(xué)問(wèn)題和運(yùn)算技巧，很難為一般工程技術(shù)人員所掌握。為此近年來(lái)國(guó)外一些公司花費(fèi)了大量的人力和投資開(kāi)發(fā)諸如MARC、ABQUS和ADINA等專長(zhǎng)于求解非線性問(wèn)題的有限元分析軟件，并廣泛應(yīng)用于工程實(shí)踐。這些軟件的共同特點(diǎn)是具有高效的非線性求解器以及豐富和實(shí)用的非線性材料庫(kù)。 3 增強(qiáng)可視化的前

60、置建模和后置數(shù)據(jù)處理功能早期有限元分析軟件的研究重點(diǎn)在于推導(dǎo)新的高效率求解方法和高精度的單元。隨著數(shù)值分析方法的逐步完善，尤其是計(jì)算機(jī)運(yùn)算速度的飛速發(fā)展，整個(gè)計(jì)算系統(tǒng)用于求解運(yùn)算的時(shí)間越來(lái)越少，而數(shù)據(jù)準(zhǔn)備和運(yùn)算結(jié)果的表現(xiàn)問(wèn)題卻日益突出。在現(xiàn)在的工程工作站上，求解一個(gè)包含10萬(wàn)個(gè)方程的有限元模型只需要用幾十分鐘。但是如果用手工方式來(lái)建立這個(gè)模型，然后再處理大量的計(jì)算結(jié)果則需用幾周的時(shí)間?？梢院敛豢鋸埖卣f(shuō)，工程師在分析計(jì)算一個(gè)工程問(wèn)題時(shí)有80%以上的精力都花在數(shù)據(jù)準(zhǔn)備和結(jié)果分析上。因此目前幾乎所有的商業(yè)化有限元程序系統(tǒng)都有功能很強(qiáng)的前置建模和后置數(shù)據(jù)處理模塊。在強(qiáng)調(diào)"可視化"的今天，很多程序都建立

61、了對(duì)用戶非常友好的GUI（Graphics User Interface）,使用戶能以可視圖形方式直觀快速地進(jìn)行網(wǎng)格自動(dòng)劃分，生成有限元分析所需數(shù)據(jù)，并按要求將大量的計(jì)算結(jié)果整理成變形圖、等值分布云圖，便于極值搜索和所需數(shù)據(jù)的列表輸出。 4 與CAD軟件的無(wú)縫集成當(dāng)今有限元分析系統(tǒng)的另一個(gè)特點(diǎn)是與通用CAD軟件的集成使用 即,在用CAD軟件完成部件和零件的造型設(shè)計(jì)后，自動(dòng)生成有限元網(wǎng)格并進(jìn)行計(jì)算，如果分析的結(jié)果不符合設(shè)計(jì)要求則重新進(jìn)行造型和計(jì)算，直到滿意為止，從而極大地提高了設(shè)計(jì)水平和效率。今天，工程師可以在集成的CAD和FEA軟件環(huán)境中快捷地解決一個(gè)在以前無(wú)法應(yīng)付的復(fù)雜工程分析問(wèn)題

62、。所以當(dāng)今所有的商業(yè)化有限元系統(tǒng)商都開(kāi)發(fā)了和著名的CAD軟件（例如Pro/ENGINEER、Unigraphics、SolidEdge、SolidWorks、IDEAS、Bentley和AutoCAD等）的接口。 5 在Wintel平臺(tái)上的發(fā)展早期的有限元分析軟件基本上都是在大中型計(jì)算機(jī)（主要是Mainframe）上開(kāi)發(fā)和運(yùn)行的，后來(lái)又發(fā)展到以工程工作站（EWS，Engineering WorkStation）為平臺(tái)，它們的共同特點(diǎn)都是采用UNIX操作系統(tǒng)。PC機(jī)的出現(xiàn)使計(jì)算機(jī)的應(yīng)用發(fā)生了根本性的變化，工程師渴望在辦公桌上完成復(fù)雜工程分析的夢(mèng)想成為現(xiàn)實(shí)。但是早期的PC機(jī)采用16位CP

63、U和DOS操作系統(tǒng)，內(nèi)存中的公共數(shù)據(jù)塊受到限制，因此當(dāng)時(shí)計(jì)算模型的規(guī)模不能超過(guò)1萬(wàn)階方程。Microsoft Windows操作系統(tǒng)和32位的Intel Pentium處理器的推出為將PC機(jī)用于有限元分析提供了必需的軟件和硬件支撐平臺(tái)。因此當(dāng)前國(guó)際上著名的有限元程序研究和發(fā)展機(jī)構(gòu)都紛紛將他們的軟件移值到Wintel平臺(tái)上。下表列出了用ADINA V7.3版在PC機(jī)的Windows NT環(huán)境和SGI工作站上同時(shí)計(jì)算4個(gè)工程實(shí)例所需要的求解時(shí)間。從中可以看出最新高檔PC機(jī)的求解能力已和中低檔的EWS不相上下?！　　　　　　　　? 表 ADINA V7.3版幾種機(jī)器上的運(yùn)行時(shí)間比較 計(jì)算問(wèn)題的特

64、征 方程數(shù)NEQ 運(yùn)行時(shí)間（秒） PentiumII450MHZ PentiumIII450MHZ 工程工作站 非線性三維接觸 （計(jì)算一步） 51159 219 188 219 線性靜力分析 58707 262 234 249 動(dòng)力分析頻率計(jì)算 31205 311 258 287 三維流動(dòng)分析 36162 218 183 208 為了將在大中型計(jì)算機(jī)和EWS上開(kāi)發(fā)的有限元程序移值到PE機(jī)上，常常需要采用Hummingbird公司的一個(gè)仿真軟件Exceed。這樣做的結(jié)果比較麻煩，而且不

65、能充分利用PC機(jī)的軟硬件資源。所以最近有些公司，例如IDEAS、ADINA和R&D開(kāi)始在Windows平臺(tái)上開(kāi)發(fā)有限元程序，稱作"Native Windows"版本，同時(shí)還有在PC機(jī)上的Linux操作系統(tǒng)環(huán)境中開(kāi)發(fā)的有限元程序包。 國(guó)內(nèi)發(fā)展情況和前景1979年美國(guó)的SAP5線性結(jié)構(gòu)靜、動(dòng)力分析程序向國(guó)內(nèi)引進(jìn)移植成功，掀起了應(yīng)用通用有限元程序來(lái)分析計(jì)算工程問(wèn)題的高潮。這個(gè)高潮一直持續(xù)到1981年ADINA非線性結(jié)構(gòu)分析程序引進(jìn)，一時(shí)間許多一直無(wú)法解決的工程難題都迎刃而解了。大家也都開(kāi)始認(rèn)識(shí)到有限元分析程序的確是工程師應(yīng)用計(jì)算機(jī)進(jìn)行分析計(jì)算的重要工具。但是當(dāng)時(shí)限于國(guó)內(nèi)大中型計(jì)算機(jī)很少，大

66、約只有杭州汽輪機(jī)廠的Siemens7738和沈陽(yáng)鼓風(fēng)機(jī)廠的IBM4310安裝有上述程序，所以用戶算題非常不方便，而且費(fèi)用昂貴。PC機(jī)的出現(xiàn)及其性能奇跡般的提高，為移植和發(fā)展PC版本的有限元程序提供了必要的運(yùn)行平臺(tái)。可以說(shuō)國(guó)內(nèi)FEA軟件的發(fā)展一直是圍繞著PC平臺(tái)做文章。在國(guó)內(nèi)開(kāi)發(fā)比較成功并擁有較多用戶（100家以上）的有限元分析系統(tǒng)有大連理工大學(xué)工程力學(xué)系的FIFEX95、北京大學(xué)力學(xué)與科學(xué)工程系的SAP84、中國(guó)農(nóng)機(jī)科學(xué)研究院的MAS5.0和杭州自動(dòng)化技術(shù)研究院的MFEP4. 0等。但正如上面所述，國(guó)外很多著名的有限元分析公司已經(jīng)從前些年對(duì)PC平臺(tái)不屑一顧轉(zhuǎn)變?yōu)闊嶂园l(fā)展，對(duì)國(guó)內(nèi)FEA程序開(kāi)發(fā)者來(lái)說(shuō)發(fā)展PC版本不再具有優(yōu)勢(shì)，而應(yīng)該從下面幾方面加以努力： 1 研究開(kāi)發(fā)求解非固體力學(xué)和交叉學(xué)科的FEA程序經(jīng)過(guò)幾十年的研究和發(fā)展，用于求解固體力學(xué)的有限元方法和軟件已經(jīng)比較成熟，現(xiàn)在研究的前沿問(wèn)題是流體動(dòng)力學(xué)、可壓縮和不可壓縮流體的流動(dòng)等非固體力學(xué)和交叉學(xué)科的問(wèn)題。由于國(guó)內(nèi)沒(méi)有類似功能的商品化軟件，所以國(guó)外的軟件就賣得非常貴。為了破這種壟斷局面，我們必須發(fā)展有自主版權(quán)