Song Kehui, Tang Jianguo. D’Alembert Principle in the Velocity Space[J]. Applied Mathematics and Mechanics, 1999, 20(9): 961-968.
Citation:
Song Kehui, Tang Jianguo. D’Alembert Principle in the Velocity Space[J]. Applied Mathematics and Mechanics, 1999, 20(9): 961-968.
Song Kehui, Tang Jianguo. D’Alembert Principle in the Velocity Space[J]. Applied Mathematics and Mechanics, 1999, 20(9): 961-968.
Citation:
Song Kehui, Tang Jianguo. D’Alembert Principle in the Velocity Space[J]. Applied Mathematics and Mechanics, 1999, 20(9): 961-968.
D’Alembert Principle in the Velocity Space
1.
Department of Physics, Huaihua Teachers College, Huaihua, Hunan 418008, P R China;
2.
Department of Physics, East China Normal University, Shanghai 200062, P R China
Received Date: 1998-04-08
Rev Recd Date:
1999-01-22
Publish Date:
1999-09-15
Abstract
According to Newton's dynamical equation of the system of particles,the force is considered to be the function of the coordinate r ,velocity r > 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).
References
[1]
陈立群.万有D.Alembert原理的新形式[J].科学通报,1988,33(15):1198.
[2]
陈立群.变质量力学系统万有D.Alembert原理的普通形式[J].科学通报,1990,35(9):714~716.
[3]
孙右烈.速度空间的变分原理[J].科学通报,1988,33(16):1222~1225.
[4]
孙右烈.相对论力学的速度空间的变分原理[J].科学通报,1990,35(8):637~638.
[5]
方建会等.变质量系统相对论力学速度空间中的变分原理[J].大学物理,1994,13(5):19~20.
[6]
梅凤翔.非完整系统力学基础[M].北京:北京工业学院出版社,1985.
Proportional views