According to Newton's dynamical equation of the system of particles, the force is considered to be the function of the coordinate r, velocity and time t, and the various formulae for D'Alembert principle of t...According to Newton's dynamical equation of the system of particles, the force is considered to be the function of the coordinate r, velocity and time t, and the various formulae for D'Alembert principle of the velocity space in both the holonomic and nonholonomic systems are deduced by introducing the concept of kinetic energy in the velocity space (i.e. the accelerated energy).展开更多
In this paper, the traditional generalized d'Alembert equations of motion (G_D) in the field of robot dynamics are extended to the circumstances as follows: 1 Considering the robots not only with rotary joi...In this paper, the traditional generalized d'Alembert equations of motion (G_D) in the field of robot dynamics are extended to the circumstances as follows: 1 Considering the robots not only with rotary joints but also with translational joints. 2 Extending the application range of the G_D dynamic equations from the simple chained robots to the tree_structured robots.展开更多
The D'Alembert-Lagrange equation is introduced and used to derive theformulas of momentary efficiency for external gearing of standard involutes spur gears. The gearingswith correct and increased center distance a...The D'Alembert-Lagrange equation is introduced and used to derive theformulas of momentary efficiency for external gearing of standard involutes spur gears. The gearingswith correct and increased center distance are discussed. The momentary efficiency formula iscalculated and analyzed using software Matlab. The derived formula of momentary efficiency is alsocompared with the traditional formula.展开更多
本文引入了 m 阶导数空间及与之相应的广义坐标的概念,将原相对于3N维 Euclid 空间“E_(3N)”的 m 阶非完整系统变为 m 阶导数空间“中形式上的完整系统,导出了包含万有 D'Alembert——Lagrange 微分原理在内的任意阶非完整系统的新...本文引入了 m 阶导数空间及与之相应的广义坐标的概念,将原相对于3N维 Euclid 空间“E_(3N)”的 m 阶非完整系统变为 m 阶导数空间“中形式上的完整系统,导出了包含万有 D'Alembert——Lagrange 微分原理在内的任意阶非完整系统的新型 Appell 方程和广义的 D'Alembert 原理。展开更多
基金the Foundation of Hunan Provincial Educational Com mittee for You
文摘According to Newton's dynamical equation of the system of particles, the force is considered to be the function of the coordinate r, velocity and time t, and the various formulae for D'Alembert principle of the velocity space in both the holonomic and nonholonomic systems are deduced by introducing the concept of kinetic energy in the velocity space (i.e. the accelerated energy).
文摘In this paper, the traditional generalized d'Alembert equations of motion (G_D) in the field of robot dynamics are extended to the circumstances as follows: 1 Considering the robots not only with rotary joints but also with translational joints. 2 Extending the application range of the G_D dynamic equations from the simple chained robots to the tree_structured robots.
文摘The D'Alembert-Lagrange equation is introduced and used to derive theformulas of momentary efficiency for external gearing of standard involutes spur gears. The gearingswith correct and increased center distance are discussed. The momentary efficiency formula iscalculated and analyzed using software Matlab. The derived formula of momentary efficiency is alsocompared with the traditional formula.
文摘本文引入了 m 阶导数空间及与之相应的广义坐标的概念,将原相对于3N维 Euclid 空间“E_(3N)”的 m 阶非完整系统变为 m 阶导数空间“中形式上的完整系统,导出了包含万有 D'Alembert——Lagrange 微分原理在内的任意阶非完整系统的新型 Appell 方程和广义的 D'Alembert 原理。
