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arXiv 2002.07670nlin.SImath-phmath.DSmath.MP
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关于Bilimovich提出的Euler方程的流变非完整变形

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

A. V. Borisov, A. V. Tsiganov

摘要:

在1913年A.D. Bilimovich观察到流变线性和齐次的广义速度约束是理想的。作为一个典型的例子,他考虑了欧拉方程的流变非完整变形,其流变变形等价于非完整Suslov系统。对于Bilimovich系统,将运动方程化为求积方程,讨论了流变和硬化情况。

英文摘要:

In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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