由拉格朗日方程导出系统的非线性控制方程。
The nonlinear governing equations of the system are derived from the Lagrange equation.
三阶拉格朗日方程可以用来描述电流猝变运动。
The jerky motion of electric current may be described by three-order Lagrange equation.
这个新的分析方法比常用的拉格朗日方程更加有用。
This novel method seem to be more useful than conventional Lagrange equations.
我们首先运用拉格朗日方程建立了系统的数学模型并进行了线性化。
At first we set up the model of seesaw with the use of Lagrange function and linearize it.
法国拉格朗日(1736 ~ 1813)提出第二类拉格朗日方程。
Lagrange (French, 1736 ~ 1813) brought forward the Lagrange equations of the second kind.
应用拉格朗日方程求解椭圆摆的周期，比用牛顿力学的方法简明方便。
It is more conciseness and convenience to solve the period of elliptical pendulum by using Lagrange equation than using Newtonian mechanics.
利用二阶拉格朗日方程，建立起大、中、小三类提升机的运动微分方程；
With quadratic lagrange equation, large , medium and small of kinds differential equation of movement are established;
利用拉格朗日方程，建立了四轮转向车辆的非线性三自由度动力学模型。
The Lagranges equation is used and a nonlinear 3 freedom degrees dynamics model for four-wheel-steering vehicle is built.
对系统应用第一类拉格朗日方程，得到系统位形坐标的微分—代数方程组。
Apply Lagrange equation of the first kind to the system, and get a set of the differential - algebraic equations (DAEs) of its absolute coordinates.
而这个主动约束力的大小，则是通过分析力学中拉格朗日方程推导出来的。
And we can get the constraint force by a new form of Lagrange equation.
通过拉格朗日方程建立了考虑关节弹性变形的双连杆机械臂系统动力学方程。
Based upon the Lagrange's equation, the dynamic equation of the two robotic arms system with elastic joint has been established.
利用拉格朗日方程建立了耦合摆的矩阵方程，对失调耦合摆振动进行了分析；
Through the Lagrange's equation, the matrix equation of coupled pendulums is established, the vibration of disorderly coupled pendulums is analyzed;
本文引入广义功率函数和简化拉格朗日方程，并用来分析复杂电路和机电系统。
The generalized power function is introduced and the reduced Lagrange equations are used in the analysis of complex circuits and Electromechanical systems.
用拉格朗日方程建立了动力偶作用下薄板的运动微分方程，并给出其动力响应。
And differential equation of motion of lamella under the action of dynamic couple is set up by means of Lagrange's equation. In the end, its dynamic response is presented here.
本文应用多刚体系统理论和拉格朗日方程建立了稳瞄操纵机构的动力学数学模型。
A dynamics modeling and analysis for Sight-stabilizing action system is made based on the multi-rigid body system theory and Lagranges equations.
引入惯性力广义势的概念，推出非惯性系中的拉格朗日方程，并举例说明了其应用。
This paper infers the dynamical equation of relative motion by introducing the concept of generalized potential; and illustrates its application with examples.
为了研究此系统的扭转振动，运用拉格朗日方程和假设模态法建立了系统的动力学方程。
To investigate the torsional vibration of the system, the dynamics governing equations of the system is established using the Lagrange equation and the assumed mode method.
在对倒立摆系统进行了概要的介绍后，详述了如何利用拉格朗日方程对直线柔性连接两级倒立摆建模。
The Study of Variable Structure Control Based on Sliding Mode and Its Application to Inverted Pendulum Systems;
随后，基于图像复原统一能量泛函的欧拉·拉格朗日方程，导出一种非线性数字滤波器的统一设计框架。
The unified designing framework for nonlinear digital filters is subsequently derived, through solving the Euler-Lagrange equation of the unified energy functional.
分析力学的拉格朗日方程是机械振动理论的基础，含耗散函数的拉格朗日方程又是这个基础的重要方面。
Lagrange's equation in analytical mechanics is the basis of the mechanical vibration theory and the equation with dissipation function is important to this basis.
在本文的第二章，我们利用第二类拉格朗日方程推导了自由漂浮平面双臂空间机器人系统的动力学方程。
In the second chapter, the dynamics of free-floating space robot system with dual-arm is established by use of the Lagrange's equation.
在考虑传动系统连续分布质量的基础上，采用拉格朗日方程建立了旋转机械传动系统的连续动力学模型。
A novel continuous torsional vibration dynamics model of rotary machinery was established, which was based on the Lagrange equation.
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。
By applying the Lagrange equation and analyzing the postural characteristic of gibbon, the dynamical modeling of the bionic robot is achieved.
用凯恩方法建立连杆机构动力学模型，当连杆转动角均为微量时采用拉格朗日方程得到连杆机构近似模型。
The dynamic model of the linkage is established by Kane's methods. The approximate model of the linkage with all angular rotation of the links being small is developed using Lagrange's equation.
构造了带电粒子在电磁场中的作用量，借助于保守力系的拉格朗日方程，导出了麦克斯韦方程中的两个式子。
By constructing principal function of a charged particle in electromagnetic field and using conservative system's Lagrange equation two formulas in Maxwell's equations are induced.
更为重要的是，广义动量表示的拉格朗日方程较之传统形式的拉格朗日方程在辛积分中表现出独特的优越性。
More importantly, the generalized momenta based Lagrange's equations show unique advantages over the traditional Lagrange's equations in symplectic integrations.
基于超音速气动力活塞理论，采用第二类拉格朗日方程建立了带外挂二元翼系统在超音速和超高音速气流作用下的动力学方程。
Based on the piston theory of supersonic flow, the second Lagrange equation is used to set up the dynamic equations of an airfoil with store in the supersonic or hypersonic flow.
单独考虑气动肌肉的质量项并在动力学推导中将其看成沿圆柱体均匀分布的质点系，利用拉格朗日方程建立了气动肌肉质量项动力学模型。
This paper aimed to achieve the dynamics model of mass terms for PMAs. In the modeling, PMAs were considered as a system of particles which were distributed uniformly along a cylinder.
应用拉格朗日方程对非线性RLC串联电路的暂态过程进行了求解，对所得到的解析解进行了分析，得到了非线性RLC电路的一些普遍特征。
By using Lagrange formulations, the solution of transient in nonlinear serial RLC circuits was obtained and analyzed to find their some general features.
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。
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.
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