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- Starting with Lagrange equations of the first kind, pure differential equations of multibody systems with rheonomic constraints are established. 根据变换方程与约束方程显含时间的等价性，提出了定常约束与定常系统判据的等同表述。
- Considering the nonholonomic constraints of conservation equations for moment of momentum, Lagrange equations with multiplier are established. 考虑动量矩守恒具有非完整约束性质,建立了考虑控制力矩作用的非完整动力学方程。
- A simple method of deriving accelerations in orthogonal curilinear coordinates is proposed by using of Lagrange equations. 采用拉格朗日方程，给出一种求解正交曲线坐标系中加速度的简捷方法.
- This paper points out that the method Lagrange Equations of the second kind for the system of particles from the theorem of kinetic energy is wrong, and analyses the causes of the mistake. 指出从动能定理出发直接推导具有理想约束的质点系的第二类拉格明日方程的方法是错误的，并分析了其错误的原因。
- lagrange equations of the first kind 第一类拉格朗日方程
- Modal assumption method is used to build the electro-mechanical dynamic model based on Lagrange Equation. 基于假设振型法，利用分析动力学的Lagrange方程，建立了基于压电陶瓷诱发应变激振的超声电机复合定子的机电耦合动力学模型；
- The key to the prediction of oil spill trajectoriesis to solve the Lagrange equation. 摘要在海上溢油粒子追踪预测模型中，关键的是对拉格朗日微分方程的求解。
- 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. 利用单元正方化扇形网格划分方法，对薄刀片划分单元，并应用拉格朗日方程建立了高速旋转圆盘薄片刀具薄刀片的动力学方程。
- Initially, using Lagrange Equation and a series of mathematical deduction, we develop the dynamic mathematical model for the discontinuous robot. 本文首先利用拉格朗日方程并经一系列的数学推导,得出了机器人不连续的动力学模型。
- By applying the Lagrange equation and analyzing the postural characteristic of gibbon, the dynamical modeling of the bionic robot is achieved. 根据分析力学中的拉格朗日方程及其分析方法,依据长臂猿的体态特征建立了该仿生机器人的动力学模型。
- Based on the Lagrange equation,the multi-joint robotic manipulator dynamical model is transformed into a linear state equation. 基于拉格朗日方程,把多关节机器人机械臂动力学模型转化成一线性状态方程。
- After the equation of light raysis inferred from the Lagrange equation in Hamilton optics and solved by means of Runge-Kutta method, a new method of ray tracing is provided. 由Hamilton光学中的Lagrange方程推出光线方程,用Runge-Kutta方法求解光线方程,给出光线连迹的新方法。
- The relationship between the Riemannian geometric framework of Lagrange equation and the topology graph representation of classic mechanical systems is discussed. 摘要讨论了经典力学系统中拉格朗日方程的黎曼几何表示（黎曼流形上的牛顿力学）和力学系统拓扑图表示之间的关系，作为应用。
- Based on the multi-body dynamics and Lagrange equation, the differential equation of rigid motion of the four-bar placer jib of a concrete pump truck is deduced. 摘要基于多体动力学理论和拉格朗日方程建立了四节臂混凝土泵车臂架的刚性运动微分方程。
- Using Lagrange equation, the six-degree of freedom vertical direction vibration model of semi-active vibration isolation system is established for railway passenger car. 摘要依据拉格郎日方程，建立了六自由度铁路客车半主动隔振系统的垂向振动模型；
- REMARKS ON PERIODIC SOLUTIONS OF THE LAGRANGE EQUATIONS 关于Lagrange方程周期解的注记
- Using Lagrange equation, the literature analyses the vibration of the beam from the point of view of energy. And the result is compared with testing result of literature[4]. A small error is gained. 文中给出了一种从能量的角度,利用拉格朗日方程对梁的振动进行分析的方法,并将得到的结果与文献[4]中试验结果进行比较,发现此处理方法得到的结果误差较小。
- A support vector machine model that distinguishes different samples category's penalty coefficients is proposed.The Lagrange equation is built and its dual form of modal is deduced by KKT condition. 摘要提出一种区分不同类别误分代价的支持向量机模型，建立了拉格朗日方程，利用KKT条件推导出其对偶形式。
- Recent trends in the Lagrange equation's conversion and form from inertial system to non-inertial system, the application of energy theorem, energy conservation law, etc. are introduced. 介绍了在非惯性系中建立动力学方程的方法，惯性系中拉格朗日方程在非惯性系中的转换形式，以及非惯性系中的能量定理和能量守恒定律的应用等研究成果。
- I could never do simultaneous equations. 我从来不会算联立方程式。
