A new conserved quantity constructed directly by using the form invariance for a holonomic system with redundant coordinates was presented. 研究有多余坐标的完整力学系统由形式不变性直接导出的新型守恒量。
This paper discusses the unified symmetry of a holonomic mechanical system in terms of quasi-coordinates under special infinitesimal transformations in which time is not varied. 研究准坐标下完整力学系统在时间不变的无限小变换下的统一对称性。
Therefore, the higher-order differential equations of motion of the holonomic system are a complement to the second-order differential equations of motion, including Newtonian kinetic equations and the traditional Lagrange equations, Nielsen equations and Appell equations. 因此,完整系统高阶运动微分方程是对牛顿动力学方程及传统Lagrange方程、Nielsen方程、Appell方程等二阶运动微分方程的进一步补充。
The problem that conservation of generalized momentum of holonomic system or nonholonomic system is studied. 把完整系统或非完整系统的广义动量守恒作为非完整约束。
First, the theorem on energy of higher order velocity of the holonomic potential mechanical system is presented with on explaining of the physical meaning of energy of higher order velocity of the system. 首先提出力学系统高阶速度能定理,阐明了系统高阶速度能量的物理意义;
Noether symmetry of holonomic and nonholomic system under quasi-coordinate in phase space is studied. 研究相空间中准坐标下完整系统和非完整系统的Noether对称性。
The definition and the criterion of the form invariance of the system were obtained by relying on the fact that the differential equations of motion and the constrained equations of the bilateral ideal holonomic mechanical system with redundant coordinates preserve an invariance under the infinitesimal transformations. 用有多余坐标的双面理想完整约束力学系统的运动微分方程和约束方程在无限小变换下的形式不变性,给出系统形式不变性的定义和判据。
On the equation of energy of holonomic system in generalized mechanics 广义完整系统的能量方程
Higher order Hamilton's canonical equations of holonomic mechanical system 完整力学系统的高阶Hamilton正则方程
On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System 论非完整系统的Hamilton原理与完整系统的Hamilton原理的统一性
Research on dynamic equations of holonomic system 完整系统动力学方程的研究
Hamilton's Canonical Equations of Holonomic and Nonholonomic System by Holonomic Coordinates 完整系统和非完整系统在准坐标下的Hamilton正则方程
This paper uses Poincare's formalism to study the integral invariants of a conservative holonomic dynamical system. Introducing new parameters for the asynchronous variation, a generalization of the Poincare and Poincare-Cartan integral invariants is presented. 本文利用Poincare形式研究了一个保守完整动力系统的积分不变量,对异步变分引入了新的参数,给出了Poincare和Poincare-Cartan积分不变量的一个推广。
Basing on the invariability of generalized Hamilton action under the condition of infinitesimal transformation, the basic principle of the variation of Noether symmetry of holonomic and nonholomic system. 基于广义Hamilton作用量在无限小变换下的不变性,得到了完整系统和非完整系统广义Hamilton作用量变分的基本原理;
The computational simulation of the'movement of a multibody system including holonomic constraints moving in plane and in space was done. The discrete time transfer matrix method of multibody system ( MS-DT-TMM) was used to study this large movement and nonlinear problem with the method of improving accuracy. 基于多刚体系统离散时间传递矩阵法,采用提高计算精度的方法,研究具有大运动、非线性特征的完整系统在平面、空间中的动力学响应。
Action of undetermined multiplier in holonomic and nonholonomic dynamical system 不定乘子在完整与非完整力学系统中的作用
Solving Process of Analytical Mechanics for Impulsive Motion of a Holonomic System 完整系统冲击运动的分析力学解法
Poincare '-Cartan Integral Invariant of Holonomic Constrained Generalized Mechanical System 完整约束奇异广义力学系统的Poincare'-Cartan积分
The Integral Variational Principle in Riemann Form for Holonomic and Non-holonomic Dynamical System 完整与非完整力学系统的积分变分原理的Riemann形式
Study on Holonomic System with Discrete Time Transfer Matrix Method 完整系统的多刚体系统离散时间传递矩阵法研究
The motions of the system can be divided into three stages. The first stage is the continuous motion of a holonomic system. The second stage is an impulse motion. 它可分为3个阶段:第1阶段为完整系统的连续运动,第2阶段为冲击运动,第3阶段为非完整系统的连续运动。
The integral variational principle of higher order velocity space in holonomic mechanical system 完整力学系统高阶速度空间的积分变分原理
The universal forms of the dynamic equations of holonomic mechanical system in relative motion 完整力学系统相对运动动力学方程的普遍形式
In this Paper, We have deduced various formulas for D Alembert principle of holonomic and non-holonomic system in the velocity space from Newton dynamical equation of system of particles. 本文从质点系的牛顿动力学方程出发,导出了完整系和非完整系速度空间的DAlembert原理的各种形式。
On this basis, the higher order Lagrange function is introduced, the higher order Lagrange equations of holonomic potential mechanical system are derived, and the higher order cyclic integral and the integral of higher order generalized energy of the system are obtained. 在此基础上,引入高阶Lagrange函数,得出完整有势力学系统的高阶Lagrange方程,并得到系统高阶循环积分和高阶广义能量积分。
Higher order Lagrange equations of holonomic potential mechanical system 完整有势力学系统的高阶Lagrange方程
The definition and criterion of Noether symmetry, Noether pseudo-symmetry and Noether generalized pseudo-symmetry of holonomic and nonholomic system under quasi-coordinate in phase space are given as well as Noether theorem and the counter question of Noether symmetry of this system is studied. 给出了相空间中准坐标下完整系统和非完整系统的Noether对称性、Noether准对称性和Noether广义准对称性的定义、判据及其Noether定理;并研究了该系统的Noether对称性逆问题。
Unified symmetry of the holonomic system in terms of quasi-coordinates 准坐标下一般完整系统的统一对称性