系统动力学发凡

本文介绍系统动力学发展史及其近期发展情况。     

Kane方程的研究

本文通过两个变质量非完整系统的实例,详细研究了 Kane 方程的优缺点,在实例中应用了本文作者所提出的,推广的变质量系统 Kane 方程。     

SOME THEOREMS FOR DETERMINING THE DEFINITENESS AND CHANGEABILITY OF SIGN OF FUNCTIONS AND THE APPLICATION TO THE CONDITIONAL STABILITY OF THE MOTION OF THE AXIS OF A SLEEPING TOP

This paper gives some theorems for determiningthe definiteness and changeabilitg of sign of func-tions as well as the application to the axis of asleeping top.The necessarg and sufficient condi-tion of the conditional stabilitg of the rotion isobtained.Which coincides With that.of the stabilitgof nutation angle and also with that of the stabili-ty of total variables in the equations of cotion.     

判别函数定号性和变号性的几个定理及其对睡陀螺轴运动条件稳定性的应用

本文给出判别函数定号性和变号性的几个定理并给出其对睡陀螺轴运动条件稳定性的应用.从而得出睡陀螺轴运动条件稳定的必充条件.它与章动角稳定和运动方程全部变量稳定的必充条件吻合.     

Lagrange铅垂陀螺运动的无条件稳定的充分必要条件

Lagrange 铅垂陀螺的运动稳定性问题是一个经典问题.一百多年来不少作者从不同方面用不同方法研究过这个问题.1946年用直接法研究     

Some theorems for determining the definiteness and changeability of sign of functions and the application to the conditional stability of the motion of the axis of a sleeping top

This paper gives some theorems for determining the definiteness and changeability of sign of functions as well as the application to the axis of a sleeping top. The necessary and sufficient condition of the conditional stability of the motion is obtained, which coincides with that of the stability of nutation angle and also with that of the stability of total variables in the equations of motion.     

THE HAMILTON’S PRINCIPLE OF NONHOLONOMIC VARIABLE MASS SYSTEMS

The Hamilton’s principle is extended to the most general,non-holonomic variable mass systems.The Hamilton’s principle ofnonholonomic variable mass systems is obtained and is illus-trated With examples.     

变质量非完整系统的哈密顿原理

本文将哈密顿原理推广到最一般的,变质量非完整系统,得出变质量非完整系统的哈密顿原理,并给出了实例.