特微方程 的英文怎麼說

中文拼音 [tèwéifāngchéng]
特微方程 英文
secular equation
  • 特 : Ⅰ形容詞（特殊; 超出一般） particular; special; exceptional; unusual Ⅱ副詞1 （特別） especially; v...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  1. The approximation of the parabolic integro - differential equations is studied with anisotropic biquadratic finite element

    摘要研究具有各向異性特徵的雙二次元對拋物積分微分方程進行了逼近。
  2. Second, the starting and stopping behaviors under disturbed condition are analyzed and calculated by using the dynamic concentrative parameter model, which gives some advice to better prescribe refrigeration system and set theoretic foundation for carrying out automatic control of refrigeration system. third, the normal running process is analyzed and calculated by means of rational matching theory, which gives some advice on how to better understand the parameter change under steady state and the affection of inlet - parameter on evaporator. fourth, the simulation software with dynamic characteristic is designed, which can be applied to calculate thernio - parameter of cryogen, air humidity and frost thickness under different initial and boundary conditions, and to carry out dynamic simulation under conditions of dryness, wetness and frostiness, at the same time, to achieve detection and simulation at any stage from starting to stopping

    本文的主要內容如下： 1 ）對翅片管蒸發器結構特點進行分析，選取適當的微元控制體，就干、濕和霜工況下對每個微元分別進行傳熱傳質分析，基於經驗關系式確定霜的有關參數，對于霜工況下的霜生長建立模型，經適當假設，運用質量守恆、能量守恆和動量守恆方程建立適合動態模擬的蒸發器數學模型，為系統模擬奠定基礎； 2 ）對蒸發在大擾動下的開、停機過程，運用動態集中參數模型進行分析和計算，為更好地描述製冷系統運行的全過程奠定基礎，同時也為製冷系統實現自動控制提供一定的理論基礎； 3 ）對蒸發器正常運行過程，運用動態分佈參數和參數間定量耦合的觀點來分析和計算，為更好地了解穩態工況下各點參數的變化情況及各入口參數對蒸發器動態特性的影響即蒸發器性能對各參數變化的敏感性； 4 ）編寫翅片管蒸發器動態特性模擬計算程序，可以計算不同邊界條件和初始條件下的製冷劑熱力參數、空氣溫濕度和霜厚度分佈場，實現對翅片管蒸發器在干、濕和霜工況下的動態模擬。
  3. Since complicated differential and integral operations were involved in the kernel of the integral equation, we simplified the equation and got the nakano equation. as instances, the planar archimedean spiral antenna, the planar equiangular spiral antenna, the monofilar helical antenna, the conical helical antenna with fixed ascending angle and the conical equiangular - spiral antenna were analyzed through the moment method. all of the results matched fairly well with the references and experiment results

    這種方法的積分方程的積分核里含有復雜的微積分運算，為了簡化計算，本文在推廣的海倫積分方程的基礎上，對方程進行了簡化，推導了nakano方程，並以平面阿基米德螺旋天線，平面等角螺旋天線，軸向模圓柱螺旋天線，具有固定升角的圓錐螺旋天線和圓錐等角螺旋天線為例，用矩量法求解了天線上的電流分佈，研究了螺旋天線輻射的寬頻帶特性，所得的結果均與參考文獻吻合很好。
  4. A side stream is recycled to the external feed stream of the column through an equilibrator as an internal feed stream. the simulation results indicate effects on the characteristics of cryogenic distillation column. consideration is given to the behavior and characteristics of the set of ordinary differential equations

    3 、分析了濃度極稀物系動態精餾模型的特點，建立了此類物系動態模型的求解策略，通過對模型中狀態變量的轉換，使原本剛性較強的微分方程組轉化為一非剛性的常微分方程組。
  5. 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。
  6. Next, in order to comprehand the electromagnetic characteristics and the dynamic characteristics of the new type of magnetic micromotors, the dissertation applied the concept of the magnetic scarlar potential of the irrotational magnetic fields and set up the mathmatic model for the inner magnetic field of the new type of motors from the basic equations and the boundary conditions of the motor magnetic field. oh the basis of the mathmatic model, the dissertation analized the various qualities of the magnetic field of the air gap between the rotor and the stator and gave a detailed calculation of the air gap ' s magnetic potential, magnetic field intensity, magnetic induction, the shape of the magnetic scarlar potential level surface, the distribution of the magnetic circuit, the magnetic induction the self - inductance and the mutual inductance of the coils

    其次，為全面了解這種新型電磁電機的電磁特性和動力特性，本文從電機磁場的基本方程及其邊界條件出發，應用無旋磁場的標量磁位概念，建立了端面搖擺式電磁微電機內部磁場的數學模型，並以此為基礎，詳細分析了電機氣隙磁場的各方面性質，對氣隙磁場的磁標位、磁場強度、磁感應強度、等磁位面形狀、電機工作磁路的分佈、電機的工作磁通量以及激勵繞組的自感和相互之間的互感進行了詳細的分析計算。
  7. Eigenvalue problem for a nonlinear differential equation on a measure chain

    測度鏈上非線性微分方程的特徵值問題
  8. This paper uses for reference with an example of frame - shear wall structure and studies the conceptual design and method for optimizationof structural system. through establishing frame - shear wall structure unisonous differential eguation and finding a result, the side shifting curve, moment and shear force distribution curve are obtained under inverted triangle load action on the frame - shear wall structure. after analyzing and comparing, the range of best rigid characteristics for such structure has be gotten

    本文結合框架-剪力墻實例，研討了結構體系的概念設計和整體優化方法。通過建立框-剪結構協同工作的微分方程及求解，得出框-剪結構在倒三角形荷載作用下的側移曲線、彎矩、剪力分佈曲線，經分析對比，得出框-剪結構最佳剛度特徵值區間。
  9. In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in cartesian coordinate system. secondly, the dispersive characteristic is analyzed in cylinder coordinate system for many high power microwave devices use cylinder sws. and then the method is extended to calculate the band structure of 2 - d photonic crystal, a modified yee ’ s grid is introduced to calculate the dispersive characteristic in the case of triangular lattice, so that both square lattice and triangular lattice cases can be solved in cartesian coordinate system

    周期電磁結構的一個重要應用就是用作高功率微波器件中的慢波系統，考慮到目前大部分高功率微波器件的慢波系統多採用圓柱周期結構，在論文第四章中，在圓柱坐標系下，給出了差分方程和周期性邊界條件的具體形式，同時編寫程序，分析了milosws ，盤荷慢波結構的色散特性。
  10. The content of this thesis comes from the fujian natural science found following research task 。 it studies on a space cantilever single beam attached to a moving support 。 inertia forces which are brought by the support ' s movement ， are acceded to the equivalent initiative forces and the equivalent initiative moments 。 when we consider the relation of the forces and deformation ， we change the method of material mechanical analysis to the elastic mechanical analysis 。 further more ， we discusses the feasibility of the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body 。 first ， the finite segment method is adopted to establish the models of the beam 。 based on kane ' s equations ， dynamic math - model for the beam are derived 。 and by use of c - language and runge - kutta procedure ， the computer - oriented procedure can give the whole responses of the beam 。 second ， with compare to the numerical examples ， the method which uses the multi - rigid - body discrete model to simulate the dynamic characteristic of a elastic body which is under the condition of movement is verified to be feasible 。

    本論文為福建省自然科學基金后續研究課題，以已知支撐運動的單個空間懸臂梁為對象，在等效主動力與等效主動力矩中加入支撐轉動引起的慣性力，並在考慮力與變形關系時，用更一般的彈性力學分析代替材料力學分析，進一步研究用多剛體離散模型來模擬其動力學特性的可行性。首先，用有限段建立機械臂的多剛體離散模型，用kane動力學方法建立其動力學方程。並用c語言編制演算法程序，採用了四階runge - kutta積分程序求解微分方程組，給出構件的全部動態歷程。
  11. These years, solid adsorption used in heat pumps and refrigerating / air - conditioning systems has been rapidly developed and saved energy because of the demands in the field of energy and environment. most of molecular sieve diameters lie within the nano - scale, but the classical condensation theories show some limitations in explaining the adsorption phenomenon in nanopores

    資料表明，經典傳熱傳質學的連續介質傳遞理論在解釋和預測納米尺度微孔吸附/脫附過程的相變特徵方面，存在局限性，相比之下，分子動力學模擬能克服這一缺陷再現納米微孔中的吸附過程。
  12. Based on the research to the stability variable cross - section beam, the bending defection differential equation of the variable cross - section beam in critical state of bucking is established. according to the edge condition of the structure, the differential equation is solved and bucking equation of variable cross - section beam is created. we can get the algorithm which can be used to calculate the equivalent inertia moment of the variable cross - section lattice structure when it is regarded as constant cross - section of solid web beam

    對變截面格構式構件的穩定性計算進行了初步的研究，通過建立變截面構件臨界狀態下彎曲變形的微分方程，根據變形邊界條件，得到了兩端鉸支的變截面梁失穩特徵方程，提出了幾種特殊形式的變截面格構式構件等效為等截面實腹式構件時等效慣性矩的計算方法。
  13. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  14. The bouc - wen differential equation model is used in modeling the hysteretic characteristics of these components. the pem ( pseudo excitation method ) combined with the elm ( equivalent linearization method ) is used to analyze the non - linear random vibration of such structures

    採用bouc - wen等提出的微分方程模型描述進入非線性構件的滯變特性，運用虛擬激勵法結合等效線性化進行結構非線性隨機振動分析。
  15. In theory, the noise elimination capacity is calculated by the method which the characteristic equation of noise elimination of the dissipative silencer is translated into the constant differential eguation. and the project simulates and calculates the distributing thing of interior velocity of flow by the finity element

    在理論上，採用了將阻性消聲器的消聲量特徵方程轉化為常微分方程的計算方法計算消聲量；在計算阻性消聲器的阻力損失時，運用了有限元數值模擬的方法模擬計算了簡化消聲器模型內部流場流速的分佈情況，並由此得到其動態阻力損失。
  16. Cellular automata was applied to solve mechanical problem of plane truss, and the feasibility of which was discussed in this article. the characteristic of cell and the way of dividing cell were studied while presenting a program and its frame chart. the work load of the new method was not much because it neednt form a partial differential set or a general finite element robustness matrix. numerical computing results show that the new method has a rapid speed of convergence to nodal displacement and internal force of element, so it probably has a good prospect in solving solid mechanical problems

    嘗試用細胞自動機作平面桁架力學分析，探討了該方法的可行性.給出元胞的劃分方法和特性，列出計算框圖並編制了相應的程序，由於不必形成結構的偏微方程集或有限元的總體剛度矩陣，計算工作量小.算例表明，該方法對結點位移和桿內力的收斂速度均較快，是一種分析固體力學問題有前景的新方法
  17. The out - of - plane stability of bending beam, which is made up with 2 beams and loaded by non - directional force, is studied. the bending and torsional deflection differential equation of each beam is established in critical condition. according to compatibility conditions of deformation, the characteristic equation is obtained to calculate out - of - plane stability of the cantilever bending beam

    對兩節梁組成的彎曲梁在非保向力作用下的平面外失穩問題進行了研究，通過建立每節梁臨界狀態下彎曲和扭轉變形微分方程，根據桿件變形的邊界條件以及桿件之間的變形協調關系，得出了一端固定一端懸臂的彎曲梁在非保向力作用下平面外失穩的特徵方程。
  18. The study on the stability switches of functional differential difference equations is an important research branch of the stability theories, which of both the theory and its applications has broad prospects. the first part of this paper, chapter 2 and 3, deals with the stability switches for two classes of retarded differential difference systems, respectively. by analyzing the characteristic roots of characteristic equations, some algebraic criteria of stability switches are established, which are useful and easy to verify

    穩定性開關是泛函微分方程穩定性理論中的一個重要分支，無論是理論本身還是它的應用都有廣泛的前景，本文的第一部分（第2章、第3章）分別討論兩類二階滯后型微分差分系統的穩定性開關，通過分析特徵方程的特徵根，我們給出了存在穩定性開關現象的實用而又易於驗證的代數判據，並利用計算機模擬驗算了一個具體例子。
  19. Recently, there are some methods are utilized to study it, such as the modified lindstedt - poincare method, frequency - incremental method, stroboscopic method etc. more and more, scientists pay attention to it, as the study of solving partial differential equation is very important for the development of mechanics

    目前主要的近似求解方法有改進l - p方法、頻率增量法、改進的諧波平衡法、頻閃法等等。由於求解偏微分方程對于力學的發展起了很重要的作用，求解偏微方程特別是非線性偏微分方程引起了很多力學工作者的注意。
  20. The other primary part is that based on the correct water hammer mathematic model ( 3 ), applying character line method, to translate the differential equation group ( 3 ) into character equation group, to count the character equation integral along with character line and at the same time to substitute the integral form for the difference form so as to make use of computer to carry through numerical value calculation of the water hammer pressure

    本論文的另一個主要內容是，在正確的水擊數學模型（ 3 ）的基礎上，應用特徵線法的原理，將微分方程組（ 3 ）轉化成特徵方程組，沿特徵線對特徵方程進行積分，並以其差分方程形式代替積分形式，以便利用計算機進行水擊過程的數值計算。論文對各種邊界條件也做了相應的推導。
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