Dynamics of Two Interconnected Mass Points in a Resistive Medium
Dynamics of Two Interconnected Mass Points in a Resistive Medium
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电阻介质中两个互连质点的动力学
DOI：
10.1007/s12591-012-0116-8
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发表时间：
2013
影响因子：
1
通讯作者：
M. Pivovarov
中科院分区：
文献类型：
--
作者：
K. Zimmermann;I. Zeidis;M. Pivovarov
研究了电阻介质中两个相互连接的质点在距离周期变化的情况下的运动问题。它表明，运动（质心位移）的必要条件是阻力（干摩擦或非线性粘性摩擦）的非线性规律。如果质点是相同的，任何周期性控制律只在各向异性（不对称）摩擦存在时才导致质心位移。如果有不同的质量，运动也可能与各向同性摩擦规律的作用下，一个周期性的控制律。本文提出了控制运动速度和方向的特殊规律。摩擦力被假定为很小，调查是基于平均的方法。通过这种方法，得到了运动速度的解析关系。
The problem of motion of two interconnected mass points in a resistive medium under periodic change of distance between them is considered. It is shown that a necessary condition for the locomotion (displacement of the center of mass) is the nonlinear law of resistance (dry or nonlinear viscous friction). If the mass points are identical, any periodic control law leads to a displacement of the center of mass only in the presence of anisotropic (asymmetrical) friction. If there are different masses, motion is possible also with isotropic friction law under the action of a periodic control law. In the paper such special laws for the control of the velocity and the direction of motion are presented. The friction is assumed to be small and the investigations are based on the method of averaging. By means of this method analytical dependence of the velocity of motion is obtained.