lagrange equation 中文意思是什麼

lagrange equation 解釋
拉格朗日方程
  • lagrange : 拉格蘭格
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. This article takes the lagrange equation as the principle, establishes mathematics modeling to the inertia brake vibration when it brakes, then simulates it with matlab. this paper educed the relation equations between, which are the inertia brake ' s friction coefficient of the brake ring and the friction disk, the mean radius, the braking force, rotation inertia of the driving top and the spline shaft, spiral climbing angle of the brake ' s concave - convex helicoid, the mean effort radius of the concave - convex helicoid, elasticity coefficient of the spring, quality of the driving top and the spline shaft, rotations inertia of the brake ' s rotation part besides the driving top and the spline shaft, suppresses sleeve. provides the theory basis for the inertia brake structure optimization

    本文以拉格朗日方程為理論基礎，對慣性制動器在制動時的振動進行數學建模，然後用matlab對其進行模擬，得出了慣性制動器在制動時振動角頻率分別與制動環和摩擦片之間的摩擦系數、制動力的平均半徑、主動頂和花鍵軸的轉動慣量、慣性制動器的凹凸螺旋面的螺旋升角、凹凸螺旋面平均作用力的半徑、彈簧的彈性系數、主動頂和花鍵軸的質量、慣性制動器除主動頂和花鍵軸外其他部分的轉動慣量和、頂壓套的質量等慣性制動器各零部件的物理參數之間的關系，為慣性制動器的結構優化提供了理論依據。
  2. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  3. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  4. Obtaining the formula of the swinging period of a synchronous satellite with lagrange ' s equation

    用拉格朗日方程推導同步衛星的擺動周期
  5. A spatial deployable truss structure was studied by the ways of multibody dynamics. the equation of multi body dynamics was set up with the lagrange multiplier method and the dynamics simulation models of deployable truss structures were built by adams and i - deas

    空間展開桁架結構屬于多體動力學研究范疇，本文利用lagrange乘子法建立多體動力學方程，通過adams和i - deas建立空間展開桁架的多體動力學模擬模型，進行模擬計算。
  6. A set of non - linear differential equation of this model is formulated based on lagrange ’ s equation. the tension of the cable, the control force of translation and the control torque of rotation are obtained by the method of newton ’ s laws in vector space. the tethered mass system is modeled as a spherical pendulum

    本文基於一種常見的繩系單體系統，運用lagrange方程建立了該系統的非線性運動微分方程，採用矢量法對該運動微分方程進行了校核，並推導出吊索的張力、變幅控制力和回轉控制力。
  7. Adams solves the model by adopting lagrange dynamics equation and complementing with rigidity integ - ral algorithm and sparse matrix technology

    Adams採用拉格朗日動力學方程，輔以剛性積分演算法以及稀疏矩陣技術來求解模型。
  8. On the basis of analyzing the rolling walking of spherical robot, this paper derived the condition of taking off, obtained the differential equation of jumping movement of spherical robot by the use of lagrange equation, and gained the formulae of jumping height and jumping length of spherical robot by means of solving the differential equation of this jumping movement

    在分析球形機器人滾動行走的基礎上，推導出了球形機器人的起跳條件；利用拉格朗日方程得到了球形機器人跳躍運動微分方程；通過求解該跳躍運動微分方程得到了球形機器人跳躍高度和跳躍長度的公式。
  9. Equation ( 4 ) is said to belong to limit circle type if all solutions of equation ( 4 ) belong to l ~ ( 2 ) ( simply denoted by l. c. ) equation ( 4 ) is said to belong to lagrange stable if all solutions of equation ( 4 ) belong to ( simply denoted by l. s. ). in chapter 4, we study criteria for the linear nonhomogeneous differential equation belonging to the limit circle type

    方程（ 』 ）稱為極限圓型的，若方程（ 』 ）的所有解都屬于護[ a ， co ） （簡記為l . c . ） ;方程（ 』 ）稱為拉格拉日穩定，若方程（ 』 ）的所有解均屬于lco [ a ， co ） （簡記為l . s . ） .由於方程（ 』 ）解的平方可積性及有界性的研究在微分運算元理論、按微分方程的特徵函數展開理論以及無界區間上受控系統的最佳控制理論等方面具有重要應用
  10. The model from the input to the output of the piezoelectric traveling wave ultrasonic motor is established by synthetically using lagrange - maxwell equation, hertz elastic contact theory and coulomb friction theory, along with considering electromechanical coupling, influence of the interface force between the stator and rotor of the motor on the amplitude of the traveling wave inside the stator and dynamic contact friction friction force

    利用拉格朗日?麥克斯韋方程以及赫茲彈性接觸理論，庫侖摩擦理論，考慮機電耦合效應，定、轉子間界面力對彎曲行波的影響及其動態接觸摩擦力，建立了壓電行波超聲波馬達從輸入到輸出的機電耦聯系統的數學模型。
  11. 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。
  12. The dynamical modeling methods of serial or paralle marchines usually include the vector mechanics method whose representative is newton - eula equation, the analysis mechanics method whose representative is lagrange equation, and the kine method which has both excellences of vector mechanics and analysis mechanics

    機械多體系統動力學的建模方法通常有以牛頓? ?歐拉方程為代表的矢量力學方法；以拉格朗日方程為代表的分析力學方法；和兼有矢量力學和分析力學優點的凱恩方法。
  13. Based on chinese tracking and data relay satellite ( ctdrs ) in the future, the antenna pointing control and complex control theory of user satellite are studied deeply in this dissertation, which is funded by the improve item of dept. of astronautic engineering and mechanics ? “ the teaching demonstration of antenna pointing control system in tdrss ”. the main contents of this dissertation are consisted of the following parts : firstly, dynamics equation is derived using lagrange equation for user satellite, so as the kinetics equations of user satellite at the same time are expressed in the form with matrix differential equations that is suitable for attitude control system design and analysis

    本學位論文結合航空宇航科學與技術學科研究生教學基地實驗室建設項目「中繼系統星間鏈路天線指向控制系統教學與演示實驗」 ，以我國跟蹤與數據中繼衛星系統為背景，對某型號用戶星星間鏈路天線指向跟蹤控制和復合控制理論進行深入的研究，研究內容主要包括以下幾個方面: 1 .利用lagrange方程建立了用戶星的動力學方程，同時推導了運動學方程，並將這組動力學方程以矩陣微分方程形式表示，使之適用於姿態控制系統的設計和分析。
  14. First, the dynamics equation of multi - system is derived by first kind of lagrange equation and also the constrain equations of velocity are obtained, the final expression of the dynamics equation is hybrid one of algebra and differential

    首先，本文利用第一類lagrange方程建立了柔性多體系統的動力學方程，並建立了速度意義下的約束方程，方程最終表現形式為微分/代數混合方程組。
  15. Setup of experimental system and experiment research first, coupling characteristic between flexible appendages and central rigid body is theoretically analyzed. based on simplifying the object studied, its theoretical model is derived by applying lagrange equation, and the coupling characteristic is analyzed. the control modals of flexible appendages are determined through calculating rolling couple coefficient and simulation of real coupling structure

    將研究對象簡化為帶有對稱柔性梁的剛性體，分析了柔性附件與中心剛體的運動耦合模式，並對影響中心剛體姿態角的反對稱耦合模式建立了動力學方程，通過對實際結構轉動耦合系數的計算和模擬分析，確定了柔性附件振動控制的重點模態。
  16. First of all, using the timoshenko beam theory and the finite element method, according to lagrange equation, the dynamic models of flexible - link manipulators and those with joint and link flexibility are proposed base on actual displacement

    首先，基於實際位移，採用timoshenko梁理論和有限元法，由lagrange方程建立了柔性臂機器人和考慮關節柔性和臂柔性的機器人動力學模型。
  17. Afterward the numerical method was used to decompose the inherited integration, so the matrix form of constitution equations was derived. then through utilizing the lagrange equation directly, the paper gets the finite element formula. to test the model, the paper calculate the osteoblast ' s dynamic response under near static load and sinusoidal load at a simple tension beam and a four point bending beam

    針對單向拉伸和四點彎曲兩種離體培養成骨細胞的裝置，再根據實際情況，將培養基看成是一種多孔材料，而將成骨細胞看成是粘彈性體，利用自編的有限元分析程序分別計算了受擬靜態載荷和受交變載荷下細胞的動力響應，結果很好地反映了細胞的粘彈性性質。
  18. The fan shaped grid with the element squarization was used to mesh the slice blade, and a dynamic equation was established for the slice blade according to lagrange equation

    利用單元正方化扇形網格劃分方法，對薄刀片劃分單元，並應用拉格朗日方程建立了高速旋轉圓盤薄片刀具薄刀片的動力學方程。
  19. A stabilization of constraints in the numerical solution of euler - lagrange equation

    方程數值求解的一種違約穩定性方法
  20. A stabilization of constraints for the numerical solution of euler - lagrange equation in multi - body system

    方程數值計算的一類違約修正法
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