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自动化与信息科学期刊

每年出版 12 

ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Isochronous Vibrations of a Heavy Cylinder in a Cylindrical Recess

卷 44, 册 1, 2012, pp. 31-39
DOI: 10.1615/JAutomatInfScien.v44.i1.30
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摘要

The free vibrations of a heavy homogeneous cylinder, rolling in a cylindrical recess, which guide curve is a brachistochrone, are considered. The equation of motion of the cylinder is formulated and formula for the angular frequency of free vibrations of the center of mass of the cylinder is determined. An analogy between the cycloid pendulum with the rolling cylinder and the classical cycloid pendulum in the form of a material point is found.

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