euler lagrange equation 中文意思是什麼
euler lagrange equation
解釋
歐拉 拉格朗日方程-
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。 -
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。 -
The dynamics problem of the robot is analyzed and the explicit solution of dynamics equation is given by lagrange method that established the foundation of dynamics optimization. the dynamics equation is established by newton - euler formula, and the joints ’ moment is worked out and simulated with matlab. finally, by considering principal axis, a 7 - dof tow placement robot is formed
對鋪絲機械手的動力學問題進行了分析，採用拉格朗日方法推導出具有顯式結構的動力學方程，為后續的動力學優化打下了基礎;通過牛頓-歐拉遞推公式建立起封閉形式的動力學方程，計算出各個關節所需的驅動力矩，並用matlab程序進行了模擬。 -
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 -
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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