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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

On Excitation of Self-Excited Vibrations in Controlled Dynamic Systems with Distributed Parameters

卷 31, 册 7-9, 1999, pp. 55-60
DOI: 10.1615/JAutomatInfScien.v31.i7-9.440
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摘要

The technique of the analysis of the self-excited vibrations in controlled machine units with distributed parameters is developed. Their mathematical model is a dissipative wave equation, which satisfies non-conservative boundary conditions. In the assumption of the smallness of the dimensionless parameters, which describe the dissipative factors of the different physical nature, the conditions of the vibration self-excitation and the formula for amplitudes of the self-excited vibrations are obtained in the analytical form. It is shown, that it is possible to change considerably the interval of frequencies, in which the self-excited vibrations can be excited, and the values of amplitudes by purposeful changing of the rigidity of the mechanical characteristic of the machine unit.

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