同时，证明了存在膛底边界运动和质量加入条件下的拉格朗日假设是比例膨胀假设的充分条件。
It is proved that the uniform density hypothesis is the sufficiency condition for the proportional expansion hypothesis under the existence of the breech boundary motion and the mass jet.
本文基于拉格朗日动力学方程推导并提出了变运动学模型下动力学模型变换定理。
The kinetic model transformation theorem in the change kinematics model is put forward and deduced based on the Lagranges kinetic equation.
与拉格朗日分析方法比较表明：本文的分析方法对于计算惰性介质质点运动状态具有简单性，而且具有较好的计算精度。
The comparison with the method of usual lagrange analysis shows that the method is convenient and accurate in calculating the histories of particle variabes in inert medium.
推导了具有运动约束的机器人的拉格朗日动力学方程，该方程中包含了广义约束力。
Lagrangian dynamic equations of a robot with kinematic constraints are derived, in which generalized constraint forces are included.
对内弹道均相流数值计算，用拉格朗日坐标下的方程组，容易处理运动边界问题。
Moving boundary problem can easily be solved with equations under the Lagrange Coordinate System for numerical computations of homogenous flow in interior ballistics.
提出非完整力学的广义达朗贝尔-拉格朗日原理，包括其牛顿表述和拉格朗日表述。此原理能导出态空间封闭的运动方程组。
Generalized DAlembert-Lagranges principle for non-holonomic mechanics, including its Newtons formulation and Lagrangian formulation, are given. This principle can lead to the closed motion equations.
采用ALE （任意的拉格朗日欧拉）运动学描述跟踪自由液面；
The ALE(Arbitrary Lagrange Euler) kinematic description is introduced into the finite element fractional step method.
利用拉格朗日公式求解了会切磁场中电子运动轨迹。
The Lagrangian formulation is used to solve the electron trajectories in some simple magnetic cusp configurations.
综合运用牛顿—欧拉方法、拉格朗日法对运动平台受力情况进行了详细分析。
Detailed analysis of forces received by motion platform is done by using Newton-Euler and Lagrange methods synthetically.
基于牛顿运动定律，用拉格朗日法推导出了粉尘粒子在荷电水雾除尘过程中的轨迹方程，建立了单个粒子运动轨迹的数学模型。
The trajectory equation of particles was put forward with Lagrangian approach on the basis of Newton law. The mathematical model of a single particle trajectory was established.
用牛顿和拉格朗日的公式来解决和阐述运动方程序。
Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
用牛顿和拉格朗日的公式来解决和阐述运动方程序。
Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
用弹性曲面的拉格朗日动力学推导出了准d - NURBS摆转曲面的运动方程。
The equations of motion for the simplified dynamic NURBS swung surfaces model are derived using the Lagrangian mechanics.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
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