有限維流形 的英文怎麼說

中文拼音 [yǒuxiànwéiliúxíng]
有限維流形 英文
finite dimensional manifold
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 維 : Ⅰ動詞1 （連接） tie up; hold together; link 2 （保持; 保全） maintain; safeguard; preserve; keep ...
  • 流 : Ⅰ動1 （液體移動; 流動） flow 2 （移動不定） drift; move; wander 3 （流傳; 傳播） spread 4 （向壞...
  • 有限 : limited; restricted; finite; a little; not much
  1. Linear induction motor is an important kind of machines which have some merits such as simple structure, low cost, durability, convenience for maintenance etc. the subject of this thesis is to study a big circular ring linear induction motor, and the major works in this thesis are summarized as follows : ( 1 ) considering the effects of the finite length of primary core, one - dimension analytical solution for the air gap field is cited in this paper. based on it, the single layer winding magnetic field is studied. considering whole - pitched and short - pitched winding configuration with odd poles and half - fulled slots in both ends, the double - layer winding magnetic field is analyzed, respectively

    本文對大圓環直線感應電機進行了深入細致研究，內容包括： （ 1 ）本文採用有限長行波面電流作用於有限長鐵芯上的模型，引用了氣隙磁場一維解，研究了單層繞組磁場，奇數極半填槽雙層繞組在採用整距和短距時磁場的分析、比較，簡單介紹了二維解； （ 2 ）用有限元軟體ansoft對大圓環直線感應電機空載氣隙磁場進行了靜態分析，並分析了結果； （ 3 ）用軟體進行了額定電壓下的瞬態分析，得到了轉矩，位移，轉速隨時間變化曲線圖，利用單極性霍爾元件測定轉速並與軟體計算結果進行了比較，採用等效電路法計算了堵轉時的最大電磁力並做實驗進行了驗證，由實驗測得了三相電流波形，並與計算結果進行了比較，對其不對稱性進行了定性分析。
  2. The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables

    （ 3 ）進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究，以及有升力約束情形下機翼跨音速減阻問題研究，分別推導了相應的共軛方程及邊界條件數學表達形式，研究與發展了三維共軛方程的有限體積數值求解方法，及相應梯度公式的數值求解方法，通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合，成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序，成功地進行了多個設計算例研究。
  3. Due to issues of dongting lake districts flood composition, the evolution of sediment flow, the river and lake ( r & l ) distribution characteristic as well as the layout of r & l - dredging engineering, the article simulated the model of the dongting lake terrain change by using the gis technology and adopted the limited volumetric method to establish the two - dimensional hydraulics computation model of lake in order to forecast the water level, the flow capacity, the speed of flow and changes of flow field after implemented the project, which have provided the reliable theoretic basis for the decision - making and implementation of renovation for river course, canal and harbor and river course - dredging engineering

    摘要針對洞庭湖區的洪水組成、水流泥沙演變、河道湖泊水系分佈特點以及河道湖泊疏浚工程布局情況，利用gis技術模擬洞庭湖地形變化，採用有限體積法建立了湖泊二維水力學計算模型預測疏浚工程實施后的水位、流量、流速流場變化，為河道、航道港口整治、河道疏浚清淤等工程決策與實施提供了可靠理論依據。
  4. During the temperature fields, the results indicate that the processing parameters such as the extrusion velocity, casting temperature, perform preheating temperature, die preheating temperature and so on are important for the temperature fields besides the dwell time. they are must be in concordance each other to the deforming zone is in the quasi - solid state, and the stable semi - solid extrusion is implemented. during the deforming fields, the hyperbolic sine thermo - rigid - viscoplastic fem model is selected according to the forming feature of the process, and the variations of the stress - strain fields are studied

    在溫度場的模擬中，模擬結果表明，保壓時間是影響製件成形質量的關鍵因素之一，擠壓速度、液態金屬澆注溫度、預制體預熱溫度和模具預熱溫度等工藝參數對溫度場的影響也很大，需進行參數之間的協調，只有當變形區內部始終維持準固態時，才能實現穩定的液-固擠壓成形過程；在變形場的模擬中，根據液態浸滲擠壓的成形特徵，選用了雙曲正弦剛-粘塑性有限元計算模型，研究了變形過程中應力應變場的變化規律，研究了模角對變形和金屬流動的影響及變形力的變化過程和其影響因素。
  5. The effects of ssc ( small - scale sub - lithospheric convection ) on seafloor topography are investigated by formulating a 2d thermal convection model that is parallel to plate motion

    摘要根據建立的垂直於大洋中脊的二維熱對流有限元數值模型，採用常粘性以及與溫度相關的粘性兩種粘性結構對小尺度地幔對流對海底地形的影響進行了重新研究。
  6. Through the analyzes of electromagnetic system of a axial symmetry by the method of electromagnetic vector potential, an eddy current field math model is build by triangle cell, this article has researched the effect of power frequency to eddy current density, penetration depth and the skin effect

    本文以電磁場矢量位有限元法為基礎對二維軸對稱場的磁場強度、渦流密度進行了計算求解，採用三角形單元和六面體單元建立了渦流場數學模型，研究了電源頻率對渦流密度、透入深度及集膚效應等場量的作用影響。
  7. In the numerical methods section, a finite element / control volume mold filling simulation, a tensor representation of fibre orientation and a finite element solution of the transient fibre orientation equations are combined in the program. the input data and output results are visualized by means of finite element software

    程序中用有限單元控制體方法模擬模壓流動，用表徵纖維取向的張量和有限元伽遼金方法來解決瞬時纖維取向方程，用計算機圖形原理編程實現對smc流動軌跡、纖維取向分佈的計算機模擬。
  8. The purpose of this dissertation is to study the lagrangian method and conservative rezonning algorithm. finite volume scheme is used for lagrangian equations of hydrodynamics. because of the pressure gradients " influence upon velocities and energy, computational scheme is proposed for momentum equation on two control volumes in order to suspend the time when the mesh becomes distorted

    本文的目的是研究lagrange方法及重映演算法，主要內容可分為以下幾個方面：首先從積分形式的二維lagrange流體力學方程組出發，用有限體積格式進行計算，考慮壓力梯度分佈對速度和能量改變的影響，構造了在兩個控制體上的動量方程的計算格式，使得速度的改變受其周圍八個壓力的影響，在一定程度上推遲了網格相交的進程。
  9. The - two - equation turbulence model and the control - volume integration method and simplest algorithm were employed to simulate the three dimensional, isothermal, incompressible, rectangular two - impinging - jet on a flat plate

    本文採用-紊流模式，使用控制體積積分之有限差分法及simplest計算程序，進行三維、恆溫、不可壓縮、矩形雙噴射撞擊流場之數值模擬。
  10. The flow equations are solved using finite difference technique. using body - fitted curvilinear coordinate system treated the boundary conditions. by iteratively solving the flow governing equation and the blade equation, the design of axial flow pump impeller in the quasi - three - dimensional rotational flow can be performed according to the angular momentum distribution, the blade which was designed in the lifting method, flow channel and the blade thickness given

    其次在流動無粘性、不可壓及考慮葉片厚度的條件下，依據葉輪內的流動特性，推導了葉輪內三維流動周向平均流動控制方程以及葉片方程；在貼體坐標系中，採用有限差分法求解流動方程和葉片方程；在採用升力法設計出的葉片作為初始葉片、給定葉片速度矩分佈、葉片厚度分佈和葉輪軸面流道幾何形狀條件下，迭代求解流動控制方程及葉片方程，實現了軸流泵葉輪的準三維方法設計。
  11. In 1985, takeshi kodama et al. [ 12 ] expressed the wavefunction as the combination of the function of the single electron in a one - dimensional square well with the finite barrier to calculate the binding energies of the exciton. this form does n ' t satisfy the continuity of the function and of its derivative divided by the band - mass

    1985年， takeshikodama等人在計算激子的束縛能時把單電子的波函數（ x ， y ）取為一維有限深方形量子阱中波函數的乘積，這種取法在邊界上不滿足波函數的連續性條件及粒子流（ 1 / m ~ * ） ' （ x ， y ）的守恆條件。
  12. This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state, the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields. the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small

    本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用，此波函數的顯著優點是：在邊界處滿足波函數的連續性條件和粒子流的守恆條件，並且展開項數少，計算方便。
  13. Based on creep constitutive model of power function, numerical simulation and detailed algorithm applied to the analysis of general fem is presented for the stress and deformation analysis of shuibuya concrete faced rockfill dam

    摘要採用高圍壓下的冪函數流變本構模型進行堆石體應力變形計算，推導該本構模型在三維有限元分析中的具體演算法和實現步驟，對水布埡面板堆石壩進行了考慮堆石流變性的應力應變分析。
  14. Following the development trend of valve cad, according to the requirements of the chengdu chengfeng valve limited company and based on mdt, this article develops the 3d parametric valve design system. the main work and achievements are as follows : based on the 2d engineering drawing of the several different valves the company provided, the 3d parametric basic drawing - base is set up using mdt which is a 3d design platform, including all the parts drawings and the general assemblage drawings of the valve models ; in accordance with the common steps of the valve design, the parameter editors are designed to edit, import and export the valve parameters and are provided with the function of double synchronization on parameters displaying for convenience in use ; in order to meet demands of users and make the design more accurate, reliable and practical, the assistant formula calculators are developed, which can automatically do all types of structure calculation in the procedure of valve design, and export the calculation manual of valve design ; in order to make designers more rivalries, taking full advantage of internetmntranet technology, the virtual design center is developed, which integrate netmeeting, terminal service and super links, so that the designer can directl y use applications on remote server, communicate with other designers on intranet / internet, share software resources and realize long - distance cooperative design

    根據閥門cad發展趨勢，針對成都乘風閥門有限責任公司閥門設計現狀，本課題基於mdt三維設計平臺開發了閥門三維參數化設計系統，主要完成的工作和成果如下：根據公司提供的幾種不同結構閥門的二維工程圖紙，利用mdt三維設計平臺建立了三維參數化基本圖形庫，其中包括所有零部件和總裝配模型圖及二維工程圖；依照閥門設計的一般步驟設計了參數編輯器，用來對閥門尺寸參數進行編輯、輸入、輸出等，具有參數雙向同步顯示功能，使用十分靈活方便；根據用戶的需求，為了使設計達到精確、可靠、實用的要求，設計開發了輔助計算器，能自動完成閥門設計過程中所需的各種結構計算，並可以輸出閥門設計計算說明書；為了使設計人員更具有競爭力，本系統利用internet intranet技術設計開發了虛擬設計中心子模塊，虛擬設計中心集成了網路會議、終端服務、超級鏈接等功能，可以讓設計師直接使用服務器上的應用程序，與intranet internet上的其他設計專家進行交流、共享軟體資源，實現遠程協同設計。
  15. After the discussion of the numerical simulation method based on the fdtd method and the pml technique, the motions of the charges and the electrical field lines were first employed to describe the radiation procedures of the pulse electromagnetic waves. then the causes of how the charges are accelerated and how the motion status of the charges are maintained were further studied from the angle of interaction of charge and field. after these analyses, it was pointed out that the pulse radiation is due to the suddenly occurred time - varying electrical field ( displacement current ) in the open space. this view was further evidenced by two examples : one is the partly resistance loaded antenna, the other is the partly curved antenna. the radiation procedures of the pulse electromagnetic waves of many different situations were simulated throughout this paper with the contours and waveforms of electric field given. these figures are very helpful to the understanding of the radiation mechanism of the pulse electromagnetic waves

    在討論了基於時域有限差分法和完全匹配層技術的數值模擬方法之後，首先從運動電荷和電力線的角度直觀地描述了脈沖電磁波的輻射過程，然後進一步從場與電荷相互作用的角度分析了天線上電荷是如何被加速以及如何維持其運動狀態的，指出了開放空間中突然出現的時變電場（位移電流）是脈沖電磁波輻射的根本原因.文中還對局部電阻加載的天線和局部彎曲的天線進行了研究，以進一步說明上述觀點.對多種情況下的脈沖輻射過程進行了數值模擬，並給出了電場的等高線和空間波形圖，這些圖形對理解脈沖電磁波的輻射機理非常有益
  16. The control equation consist of completely coupled deformation equation, seepage equation, conduction and convection equation of heat, which describe the reservoir non - liner performance. 2, present the detailed strategy and methods to solve this mathematics model, the basic strategy as follows : regard the deformation equation ? seepage equation conduction and convection equation of heat as separate system, and solve the equation by coupling and iterative method ; disperse the control equation in the geometry field by the finite element method ( galerkin ), and in the time field by the finite difference method : programme the computer program on this task ; when the solving, take the combinative measures of the thick and thin mesh ; successfully carry out the numerical simulation in vast 3d heat extraction system of hdr

    2 、提出了高溫巖體地熱開發的固、流、熱多場耦合數學模型的數值解法，其基本的求解策略是：將固體變形，流體滲流與溫度場方程看成獨立的子系統，耦合迭代求解；利用有限元離散（ galerkin ）方法將控制方程在幾何域上離散，並用差分法得到時間域上的離散方程，並在此基礎上，編制了相應的計算機源程序；有限元求解中，為減小邊界效應的影響，在計算中採取粗細網格結合的方法，順利地實現了高溫巖體地熱開發三維巨系統的數值模擬。
  17. The program abstract the finite cover system of 3d nmm as independent data classes, and give the definition and implement of the classes, and manage these data classes by techniques of tree structure

    程序將三維數值流形方法的有限覆蓋系統抽象為一些獨立的數據類，給出了類的描述和它們的實現方法，並用樹狀結構對這些數據類進行管理。
  18. First of all, the hexahedral meshes are chosen as the cover system of nmm. the cover system of three - dimensional nmm, displacement functions in the all cover systems, the selection of weight functions, diversified unit matrix and numerical integral method of manifold element ( hammer integral method ) are discussed in detail

    文中首先選取標準的三維六面體網格作為流形方法的基本覆蓋，研究了三維數值流形方法的有限覆蓋系統、各階覆蓋位移函數、單元權函數的選取、三維數值流形方法中的各種單元矩陣、以及流形單元的數值積分方法（ hammer積分方法） 。
  19. Based on the established three - dimensional physical model, simplified terms, specified material parameters in thermal and physical properties, boundary conditions, and the calculation method of heat convection of cooling water, the numerical simulation and analysis on steady - state temperature field for continuous unidirectional solidification of niti shape memory alloy wire billets were proceeded under the condition of different combined parameters using ansys finite - element software

    在建立三維物理模型以及確定材料熱物性參數、邊界條件與冷卻水對流換熱系數計算方法的基礎上，採用ansys有限元軟體對不同參數組合條件下鎳鈦形狀記憶合金線坯連續定向凝固的穩態溫度場進行了數值模擬。
  20. In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given

    第二章證明了該系統的整體吸引子的存在性，給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形，證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子，證明了它在長時間后無限趨于方程的整體吸引子，並給出了漸近吸引子的維數估計
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