度量微分幾何 的英文怎麼說

中文拼音 [dùliángwéifēnjīhé]
度量微分幾何 英文
metric differential geometry
  • 度 : 度動詞[書面語] （推測; 估計） surmise; estimate
  • 量 : 量動1. （度量） measure 2. （估量） estimate; size up
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 幾 : 幾代詞1. （多少, 用於詢問數量和時間） how many 2. （表示不定的少數目） a few; several; some
  • 度量 : 1. （計量長短） measure; metric; mensuration 2. （寬容人的限度） tolerance; magnanimity
  1. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  2. Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold

    黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。
  3. Firstly, a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula, the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize. secondly, using numerical searching and mathematical programming method solves the contact directions and loaded contact problem. finally, whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears

    首先以一種簡單實用的輪齒邊緣切矢量的數學表示方法取代了經典的微分表達式，大大簡化了幾何邊緣接觸的求解，使復雜曲面的幾何邊緣接觸分析得以實現；其次又採用數值搜索與數學規劃法求解了邊緣接觸的主方向和承載接觸問題，為高重合度弧齒錐齒輪承載嚙合全過程的數值模擬提供了完整的方法。
  4. The physical and mathematical models are founded. numerical simulation of marangoni convection in the liquid bridge and gas channel was performed by employing the primitive variable method and using galerkin finite element method, which is applied for discretization of non - dimensional governing equations and boundary conditions. the relationship between the suppressing status of mc in the liquid bridge and the inlet gas velocity or the channel width is obtained, and the suppressing status of some kinds of marangoni numbers ( ma ) or size ratios of liquid bridge a is analyzed

    採用原始變量法，用galerkin有限單元法對無量綱控制方程及邊界條件進行離散后，數值模擬了微重力條件下半浮區硅熔體及氣體流道內的marangoni對流，得出了無量綱氣流沖刷速度及流道寬度變化和熔體內熱毛細對流抑製程度的關系，進而分析了不同的無量綱參數ma數和不同熔體幾何尺寸比a下熱毛細對流抑制情況。
  5. This allows us to use much less elements to model complicated structures such as the stiffened beam and tower in suspension bridge, while it can still reflect various details such as the mechanical character, geometry, spatial position, the contribution to the system stiffness and mass, of each member involved. by adopting the assembled element, we can use usual pcs to perform the nonlinear analysis of long - span suspension bridges

    組合單元突破了傳統有限元對于不同材料或不同構件必須採用相應不同單元的限制，對懸索橋的索塔、加勁梁等復雜結構，能用較少的單元進行模擬，並且仍然能夠仔細反映其內部各個構件的力學特徵、幾何尺寸、所在空間位置以及其對系統剛度、質量的貢獻，實現了用普通微機進行大跨度懸索橋空間非線性分析。
  6. In order to study the regeneration mechanism of dpf in detail, we still need a mathematical model of the channel unit, which present temperature field and the soot reaction rate of the channel. finally, it points out the influences of various factors to the regeneration process by computing the numerical solution of model under different boundary conditions and geometry parameters, such as the initial temperature, the gas flow rate, the oxygen concentration, the sediment quantity and the wall thickness of the filters, and so on. in this way, the paper provides theoretical guidance for optimization design of the dpf

    首先研究了干凈壁流式過濾體的加熱特性，然後在加熱和燃燒理論的基礎上建立了微粒捕集器再生過程的數學模型，並對模型進行了數值計算，得到了捕集器內部的三維溫度場分佈以及溫度梯度分佈，結果與實驗值吻合較好，驗證了模型的正確性;為了詳細的研究微粒捕集器的再生機理，建立了孔道單元數學模型，得到了孔道內的溫度場分佈和微粒反應速率分佈;最後，通過求解模型在不同邊界條件和不同幾何參數下的數值解，分析了各種因素對再生過程的影響，如過濾體初始溫度、過濾體內氣流的流動速率、氧濃度、微粒沉積量以及過濾體壁面厚度，為微粒捕集器的優化設計提供理論指導。
  7. The design of the hardware of this system is discussed in chapter 3 and 4. especially, what the author have done independently are : ( 1 ) programming with visual basic 6. 0 for processing and measuring of the image ( shown in chapter 5 ) ; ( 2 ) finding out the factors affecting the measurement and analyzing the errors quantificationally ( shown in chapter 6 ) ; ( 3 ) doing experiment for the actual measurement and error analysis. it is shown that the system has a good stability, and the accuracy of the measurement is in about 0. 2 m

    在進一步的研究中，作者獨立完成了： （ 1 ）用visualbasic語言進行軟體編程和程序調試，實現了顯微圖像的處理、測量和識別（見第五章） ； （ 2 ）針對顯微測量這一類特殊的幾何量測量，作者給出了影響測量結果的誤差因素，並對測量結果進行了細致的精度分析（見第六章） ； （ 3 ）對上述實際測量及精度分析部分進行了獨立的實驗。
  8. Thirdly, based on the geometrical differential constraints and force balancing constraints of the coordinated flexible manipulators, the mutual relationships between the kinematic and dynamic parameters in static configuration have been presented. the manipulation stiffness of the coordinated system has also been proposed. the manipulability of the flexible robot system has been then analyzed in two aspects : i ) the global characteristics in the manipulation workspace based on the manipulation stiffness ; ii ) the local property of the reachable boundary of generalized forces

    然後，利用柔性機器人協調抓取的幾何微分約束和力平衡約束，通過深入分析系統在靜態位形時其內部各運動參量和力參量之間的關系，定義了系統的操作剛度，從兩個方面對系統的操作性能進行了分析： 1 ）操作空間中，基os于系統操作剛度的全局特性； 2 ）在一定約束的條件下，系統操作力矢端可達二邊界的局部特性。
分享友人
分享到 Line

分享到臉書