攝動方程 的英文怎麼說

中文拼音 [shèdòngfāngchéng]
攝動方程 英文
perturbation equation
  • 攝 : Ⅰ動詞1 （吸取） absorb; assimilate2 （攝影） take a photograph of; shoot 3 [書面語] （保養） cons...
  • 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. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved

    然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。
  2. Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model

    第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。
  3. Thirdly, an ideal satellite orbit is simulated, and on this foundation, we establish some typical simulation and testing circumstances. lastly, after simulation in the simulation and testing circumstances, we compare the performance of ukf and ekf. and then, based on the outdoor experiment of the vehicle, an analysis and contrast between our simulation results and commercial data process software is carried out, and the conclusion is obtained

    首先在第三章提出的目標運動模型的基礎上建立了系統狀態方程;其次簡要分析了衛星導航系統中的各類誤差，建立了基於偽距觀測量的系統觀測模型;第四節利用yuma格式歷書數據模擬了未受攝動影響的衛星軌道，並在此基礎上建立了幾種典型的動態模擬測試環境;第五節為模擬分析和比較，先對ukf演算法和ekf演算法在動態模擬測試環境中進行了模擬比較，然後針對外場試驗，對非線性濾波獲得的定位結果與商業軟體進行了分析比較，並得出結論。
  4. So the model is more integral and accurate in describing the performance of heat and mass transfer in the adsorbent bed than the traditional mathematical model. 4. pens ( perturbational exponential numerical scheme ) is adopted to ensure the successful solving of the mathematical model and the reliability of results

    採用攝動精確數值解格式（ pens ）來求解數學模型中的主要控制方程，並且考慮到控制方程的非定常性，對原pens格式進行了非定常變換，保證了數學模型計算的成功和結果的可靠性。
  5. Based on the normal form obtained above, a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system. the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations

    利用全局攝動法研究了電磁軸承-轉子系統的全局分叉和混沌動力學，利用數值模擬方法分別對平均方程和原方程進行了分析，得到了的描述系統混沌運動的相圖和波形圖，從而驗證了理論結果的正確性。
  6. The fundamental ideas and methods of this paper are also illuminated in this chapter. in chapter two, a one - dimensional and semi - closed shallow sea mode is studied. the approximate analytical expressions of the water level at the top of the bay induced by the nonlinear interaction between the storm surges and the astronomical tides are obtained by using the perturbation method

    在第二章里，研究了一維半封閉水域中的非定常風暴潮與天文潮非線性相互作用的問題，用攝動方法求出了具有實際意義的海灣頂部增水水位的一階近似解析表達式，並給出了增水過程曲線。
  7. This paper is concerned with, the existence and stability of travelling wave solutions for the viscous balance law which is an extension of viscous conservation law where a reaction term g ( u ) is added. l ) the existence of travelling wave solutions by geometric singular perturbation method, we investigate the existence of travelling waves ( a2 ) connecting a saddle point and a sink point and the existence of viscous shock waves c connecting two adjacent or disadjacent saddle points. by giving a detailed analysis of the fast and slow manifolds and verifying the transversality of the intersection of singular stable and unstable manifolds of the reduced problem along the singular heteroclinic orbit, we obtain the existence of travelling waves ( a2 ) in the case of a convex flow function / and that of viscous shock waves c under the assumption that f " is bounded

    主要結果如下： 1 ）行波的存在性本文利用[ 37 ]中幾何奇異攝動理論，通過仔細分析= 0時的快流、慢流，驗證= 0時慢流方程的穩定與不穩定流形橫截相交於奇異異宿軌道，先在f為凸的條件下嚴格證明了（ ）存在連接不相鄰的鞍點、結點的行波（ a2 ） ；然後在地f有界的條件下得到（ ）存在連接鞍點（包括相鄰和不相鄰）的粘性沖擊波c ，彌補了[ 11 ]缺少嚴格證明的不足，並推廣了[ 11 ]在f為凸的條件下得到的粘性沖擊波的存在性結果。
  8. A method for deriving the perturbation equation

    直接推導攝動運動方程的一種方法
  9. By this method of analysis, researcher can get all of elastic characters without choosing proper perturbation parameter to create perturbation solution. since this method of analysis reduce the experience factors in the process of analysis, the results of it can be more reasonable

    採用該方法求解板以及殼體的大撓度問題，研究者無須具體選擇攝動解的攝動參數就能夠得出問題的全部彈性特徵，減少了在攝動過程中的先驗因素，使得求解結果更趨于合理。
  10. A new type of viscoelastic stochastic finite element method is established using first - order perturbation theory based on local averaging method of random field and karhunen - loeve expansion theory of random process. the amount of computations is greatly reduced by transforming correlated random variables to a set of uncorrelated random variables. the relations of different random response variables are analyzed and monte carlo simulations for viscoelastic stochastic structures are investigated

    基於隨機場的局部平均法以及隨機過程的karhunen - loeve分解理論，通過一階隨機攝動方法建立了考慮材料近似不可壓縮的粘彈性隨機有限元公式，由相關結構分解減少計算量，分析了各結構隨機響應量之間的關系，給出了數字特徵的計算方法，研究了粘彈性隨機結構的montecarlo模擬驗證方法。
  11. The first - order perturbation method correct for forcing decoupling method based on perturbation theory is put forward to decrease error ; iii. the complex modal method is introduced into analysis of non - classical damping systems to eliminate error of forcing decoupling method, and improve the complex modal response spectrum, which can apply to design of non - classical damping systems ; iv. for exerting the energy dissipation capability of each device, a two - step optimum method, whose controlling function is extremum expectation of interbedded displacement, is put forward to optimize the number and position of device ; v. the problem of iterative method applied to analyze energy dissipation systems is indicate, and give some primary advice based on pilot study

    為改善上述缺點，本文進行了以下的研究工作：在忽略耗能器附加質量的基礎上，推導出適用於耗能減震結構的攝動法，減少振型分解法在迭代計算過程中的工作量，加快計算速度；針對運動方程的強行解耦所產生的誤差，根據攝動法原理，對其進行一階攝動修正；為消除強行解耦振型分解法用於非比例阻尼結構分析時產生的誤差，引入狀態空間對系統進行復模態分析，並改進了基於復模態理論的、適用於非比例阻尼結構設計的雙反應譜方法；對于耗能器的數量和位置優化進行了一些探討和研究。
  12. By using vector random field model and second - order perturbation method, viscoelastic stochastic finite element formulation is developed, which can take the correlation of random parameters into account and is suitable for stochastic structural analysis with larger variance of the uncertainties

    利用向量隨機場模型和二階隨機攝動方法，給出了相應的粘彈性隨機有限元列式。能夠考慮參數的相關性，更加接近於prony級數的參數測試過程。
  13. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  14. Based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application

    為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值
  15. For initial rectangular and hexagonal disturbances on the interface, nonlinear fluid mechanics governing equations are solved respectively with the perturbation method, and 2nd - order approximate solutions are obtained. then effects of nonlinearity on r - t instability are discussed, and its significance is manifested

    應用攝動方法求解非線性的流體力學方程組，分別針對矩形和等六邊形的界面初始擾動，得到了擾動發展的二階近似解，並分析了非線性對r - t不穩定性發展的影響，指出非線性在其中的重要意義。
  16. Abstract : based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application

    文摘:為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值
  17. Firstly, this paper presents the coordinates and time system for discribing satellite motion, and then gives the models of orbit and attitude and satellite relative motion, considered the j2 perturbation

    本文首先給出描述衛星運行所需的時間系統和坐標系，然後建立衛星軌道、姿態動力學模型和基於軌道根數的衛星編隊飛行相對運動方程，並考慮j2項攝動的影響。
  18. By making algebraically equivalent transformation for the standard centering equation xs = e, we obtain a new system of perturbed k - k - t equations and, for specific power transformation, recover the newton equations that are recently used by j. m. peng et al to show a lower polynomial complexity bound for large - update algorithm

    前述的兩種方法是針對擾動k一k一t系統進行的，而本文的另一種方法是採用ncp函數，直接將標準線性規劃k一k一t條件化為一個不含內點約束的等價方程組，以此改造標準攝動方程組。
  19. In this paper, the multi - scale technology is introduced to study the wave - motion equations with viscous or transverse inertia effects or both of them. burgers equation, k - dv equation and kdv - burgers equation are deduced respectively, and correspondingly the steady shock - wave solutions, solitary wave solutions and oscillation solitary wave or shock - wave solutions are obtained

    接著，又採用奇異攝動理論中的多尺度變換法分析並簡化了分別計入粘性、橫向慣性效應以及同時計入這兩種因素時的幾何非線性波的波動方程，分別得到了經典的burgers方程、 k - dv方程和kdv - burgers方程；並求出它們相應的穩態解分別為激波解、孤波解和振蕩孤波解或激波解。
  20. However, the existing algorithms are almost based on the standard perturbed system, namely the k - k - t system of logarithmic barrier problem for standard linear programming

    但現有的演算法幾乎都是基於標準攝動方程組，即標準線性規劃對數障礙問題的卜k - t系統，建立起來的。
分享友人
分享到 Line

分享到臉書