線性化方程 的英文怎麼說

中文拼音 [xiànxìnghuàfāngchéng]
線性化方程 英文
linearized equation
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 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...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. Cauchy problem for linearized system of two - dimensional isentropic flow with axisymmetrical initial data in gas dynamics

    二維等熵流的線性化方程的具軸對稱初值的柯西問題
  2. Using the difference method and quasi - linearization method, the nonlinear differential equations, which include ten basic unknown functions in all, are reduced to a sequence of quasi - linear differential equations, which can be solved by the method of discrete orthogonalization

    採用差分及準線性化方法，將含有10個基本未知函數的偏微分方程組，變換成能用離散正交法編程求解的準線性微分方程組。
  3. Ph linearization method is employed to solve a nonlinear reynolds equation for a steady state and micro - scale flow field, and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained

    摘要應用ph線性化方法、迭代法，近似求解了螺旋槽內穩態微尺度流動場的非線性雷諾方程，求得了氣體動壓和速度分佈的解析解。
  4. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  5. Are uncertain and should be regarded as random variables, therefore the reinforced concrete frame is stochastic structure inherently, and then its motive equations converted to combined random differential equations for the uncertain parameters and external random excitation. these equations were solved by order - orthogonal expansion method with pseudo - excitation method, and then the statistic stochastic responses of random structure were obtained. at last, based on the stochastic cumulative damage model with double parameters developed by park, formulas were formulated for calculating structural earthquake damage probability using the structural reliability theory ( mainly jc algorithm ) in extensive random space

    首先對受地震激勵的剪切型鋼筋混凝土結構進行建模，用隨機等效線性化方法將二階非線性微分方程組化成一階線性微分方程組（或稱之為狀態方程） ；再考慮材料等參數的隨機性，則狀態方程成為復合隨機微分方程組，將擴階系統方法和虛擬激勵方法推廣並應用於這個復合隨機微分方程組，求出結構的隨機響應量的統計參數；最後採用隨機累積損傷破壞準則，在廣義隨機空間內，用jc演算法求解失效概率，進而求出結構的抗震可靠度。
  6. In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained

    本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。
  7. With the assumption of insignificant vibration and the results obtained in the sixth chapter, the linear solution for the motion equation of forced vibrating pipe with fixed supports in two ends in steady vibration is derived

    首先，在微小橫振動假設前提下，利用第六章的計算結果，用線性化方法推得了兩端固支水下輸液管道在穩態繞流條件下的強迫振動方程的解。
  8. Then analyze the motion and dynamics ; induce the dynamics equation ; use multiple - step gear estimation and correction to solve the time domain ; use equivalent method of statistical linearization to solve the frequency domain

    進行了運動學分析和動力學分析，推導了動力學方程，採用多步gear預估?校正法進行時域求解，採用等效的統計線性化方法進行頻域求解。
  9. The mathematics - mechanization method is applied the field of differential equations. many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given, and implemented in a computer algebraic system, such as the hyperbolic tangent function method and the hyperbolic function method etc. exact solitary wave solutions of a great deal of nonlinear equations are gained

    將機械化數學方法應用於偏微分方程領域，建立了構造一類非線性波方程的精確孤立波解的許多演算法，如，雙曲正切函數展開法，雙曲函數方法等，並在計算機數學系統上加以實現，因而推導出了一批非線性波方程的精確孤立波解。
  10. In this paper, the governing differential equations of double pendulum is established with the lagrange methods, the stability margin of corresponding linear equations are obtained by the multiple scale method

    採用拉格朗日方法建立參數激勵雙擺的控制微分方程，通過多尺度法對其線性化方程進行分析，獲得穩定性邊界。
  11. A perturbation guidance technique is then used ; the equations of motion in the longitudinal channel are linearized around the nominal trajectories and linear quadratic control laws are developed on the deviation of the aircraft states from these nominal values

    本文針對飛機的時變非線性縱向動力學模型，沿給定的起飛軌跡建立小擾動線性化方程，通過線性二次型最優控制使飛機沿給定的起飛軌跡飛行。
  12. As the complexity of flight tasks increases, the linearized equation based on the small disturbance theory is no longer adequate for the design of control systems, and the necessity of exploring a nonlinear approach seems increasingly obvious

    隨著飛機飛行任務不斷趨向復雜化，基於小擾動線性化方程的線性系統設計方法已經難以滿足現代飛機飛控系統的設計要求。這就迫使我們研究飛機的非線性控制律的設計方法。
  13. The basic performance limit expressions about this novel mb is derived in order to design it. the novel magnetic bearing is analyzed employing the finite element method and has been integrated into a test facility with very simple control met hod, and the results of selected experiment have been provided

    在以上分析的基礎上，推出磁懸浮力的線性化方程，計算了電流剛度和位移剛度，同時提出了這種磁軸承的性能指標公式，為該磁軸承的設計提供了理論依據。
  14. The precision duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. the calculating results show that the new method can improve the calculation precision greatly. in fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement

    本文的主要工作有以下幾個方面: （ 1 ）由於非線性項的存在，使得多數情況下難以得到非線性動力方程的解析解表達式，目前常使用數值積分方法來求解非線性動力學方程的解，但常規計算方法的計算精度不很理想，本文提出了含taylor展開項中高階余項的非線性動力方程的線性化數值計算方法，構造了瞬態線性化方程，給出了duhamel積分的表達式。
  15. The present paper intends to construct a systematic approach to search a type of particular exact solutions to nonlinear wave equations by utilizing the theory of mathematics mechanization proposed by famous mathematician wu wentsun. by the approach, two classes of important nonlinear coupled scalar field equations arising in the field of nonlinear physics are studied systematically and a batch of exact solutions containing steady and diverging solitary wave solutions and periodic ones are obtained, which are helpful in clarifying the movement of matter under the nonlinear interactiveties and play an important role in sicentifically explaining of the corresponding physical phenomenon

    本文將我國著名數學家吳文俊的數學機械化思想應用於非線性物理領域，給出了構造非線性波方程組一類特殊精確解的一種統一演算法，利用這種演算法系統地研究了出現于非線性物理領域中的兩類重要的非線性耦合標量場方程組，獲得了這些方程組一批精確解（包括穩定和發散形式的孤立波解以及周期解） 。
  16. To solve these equations, in addition to traditional linear algorithms and least squares, a method using optimization algorithm is presented

    對于定位方程的解法，除了傳統的線性化方法和最小二乘法外，還提出了利用優化演算法來求解方程。
  17. The dynamic model is a typical nonlinear distributed - parameter system with high dimension about19xn x4, where n is the section number in one reformer. method of lines is adopted to reduce these partial differetial equations ( pdes ) into n lumped - parameter ordinary differetial equations ( odes ) solved by numerical algorithm

    在靜態模型基礎上建立了全流程主要裝置（重整反應器、加熱爐、分離罐）的動態模型，採用分段線性化方法對重整反應分佈參數模型離散化成一組常微分線性方程組進行了求解。
  18. It compared some of linearization methods of platinum resistance ' s characteristic. it introduces a new subsection linearization method : unequal distance arithmetic, it improves the measure precision and decrease the calculation load. in the voltage and electrical current measure section, it use a measure chip which includes a / d conversion, dsp and arithmetic procedure, so it improves the mearsure precision greatly

    在前端的檢測部分，分別對溫度檢測及電壓電流采樣進行了研究，在溫度檢測中對常用的幾種鉑電阻的特性的線性化方法進行了比較，提出了一種新型的分段線性化方法：非等距演算法，既提高了精度又減少了計算量，具有新意；在電壓電流測量中，採用了一種內置a / d轉換、 dsp 、演算法程序等的測量晶元，大大提高了測量精度。
  19. Taking the hvdc systems as a variable admittance connected at the inverter or rectifier ac bus, the analytical description of the relationship between the variable admittance and active power flows of each generator can be derived. the traditional generator dynamic equations can thus be expressed with the variable admittance of hvdc systems as an additional state variable and changed to an affine form, which is suitable for the global linearization method being used to determine its control variables

    該方法基於微分幾何理論，將直流輸電系統等效為兩個分別連接在整流側和逆變側的變導納支路；在推導出直流輸電系統的等效變導納與各發電機輸出電磁功率間的解析關系后，傳統的發電機動態方程可被表示成仿射非線性的形式，因而可應用全局線性化方法來求得直流輸電系統的調制量。
  20. By combining the newton method and the method of harmonic balance into the rewritten governing equation, we have established improved analytical approximations to the frequency and the corresponding periodic solution of the oscillator

    將牛頓線性化方法與諧波平衡法組合起來應用於變形后的控制方程，建立了達芬諧波振子頻率及周期解的改進解析逼近。
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