lagrange coordinates 中文意思是什麼
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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。 -
Only some fundamental parameters are posted to servers, which can complete the modeling, numerical analysis, management, and animation simulation. the results are given to the client. the distributed simulation system can automatically build myltibody systems dynamics equations using euler - lagrange equations in global coordinates
用戶可以在客戶端提交運動學模擬所需要的基本參數，在服務器端完成系統數學模型的自動建立、數值分析及數據管理，相應的數據和圖形模擬結果反饋回客戶端。 -
2. dynamics analysis : by setting up jacon matrix differential coefficient sport is passed to descartes space. it makes terminal executing manipulator produce differential coefficient of acceleration and force in every different coordinates can be got. then the effective inertia, coincident inertia and gravity load of two manipulators are calculated by lagrange method. so generalized joint torque of each joint is got, and along with equivalent driving torque, actual driving torque of each joint can be worked out. 3
動力學分析：建立雅可比矩陣將關節空間的各關節的微分運動傳遞到笛卡爾空間，使末端執行器位姿產生微分運動，以用於求加速度及力在不同坐標系間的線性變換，再用拉格朗日法計算兩機械手的有效慣量、偶合慣量、重力載荷，從而計算得到各關節的廣義關節力矩，並與等效驅動力矩共同算得各關節的驅動力矩。 -
It is applied in analyzing and calculating static distortion of skylift in virtue of updated lagrange formulation and iterative method with moving coordinates. the solutions are worked out by increment principle and newton - raphson method
在分析和計算消防車伸縮臂的靜態變形時，引入了幾何非線性的思想，藉助更新的lagrange格式，將增量原理與牛頓-拉弗遜法相結合，並且使用帶有動坐標的迭代方法求解。
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