带电粒子在电场中做锥摆式运动的分析

对在点电荷的电场中作匀速圆周运动的带电粒子，在加上一匀强电场后运动状况的复杂性进行分析，并阐述了要使该粒子作锥摆式运动的条件。     

一类非线性动力系统的若干结论

本文通过构造泛函获得了一类非线性动力系统的若干结论，并推广了文（１）的结果。     

Paul阱中离子运动及稳定性分析

Paul离子阱由于没有外加磁场所引起的塞曼效应的影响,已成为离子存储及研究离子的重要装置.根据在实验中所采用的Paul离子阱结构及电场分布特点,列出阱内离子运动方程并进行求解,对其中各种运动进行分析,同时还分析了离子存储稳定性.最后对所作的研究进行总结,得到如下结论:阱中离子的运动为谐振运动、基频微运动和高阶微振动.     

A Field Integration Method for a Weakly Nonholonomic Syst

A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomie system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomie constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.     

2008年联赛题(12)是曹大方老师一道征展新题的再现

2008年全国高中数学联赛一试(A卷)第12题是:一个半径为1的小球在一个内壁棱长为46~(1/2)的正四面体容器内可向各个方向自由运动,则该小球永远不可能接触到的容器内壁的面积是____。     

“圆周运动”问题探究式教学案例

1 教材分析 圆周运动课是作为曲线运动的一个特殊运动模型而安排的,它的典型性强,且可向多方面拓展,是电学学习的基础,因此本节内容有承前启后的作用.     

Three-Dimensional Linear Instability Analysis of Thermocapillary Return Flow on a Porous Plane

A three-dimensional linear instability analysis of thermocapillary convection in a fluid-porous double layer system, imposed by a horizontal temperature gradient, is performed. The basic motion of fluid is the surface-tension-driven return flow, and the movement of fluid in the porous layer is governed by Darcy＇s law. The slippery effect of velocity at the fluid-porous interface has been taken into account, and the influence of this velocity slippage on the instability characteristic of the system is emphasized. The new behavior of the thermocapillary convection instability has been found and discussed through the figures of the spectrum.