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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 4, Pages 441–456
DOI: https://doi.org/10.15372/SJNM20160408
(Mi sjvm629)
 

Analysis of the pontoon fluctuations with a seasonally changing parameter of stability on the astir surface of finite water depth

S. V. Cherdantseva, N. V. Cherdantsevb

a T. F. Gorbachev Kuzbass State Technical University, 28 Vesennyaya str., Kemerovo, 650000, Russia
b Institute of Coal SB RAS, 10 Leningradskii pr., Kemerovo, 650065, Russia
References:
Abstract: It is shown that due to the periodic changes in metacentric heights of a pontoon on the astir surface of liquids in the sump of an open coal mine, the pontoon is capable to produce parametric pitching, both in the longitudinal and in the transverse directions. The equation, describing parametric pitching, is transformed to the Mathieu equation, whose factors depend both on the own frequencies and the pontoon floatability features on “calm water”, and on the frequency of fluctuation of a liquid, which, in turn, is defined by the sump size. The installed regularities between parameters, characterizing parametric pitching in the longitudinal and transverse directions, and areas of its instability are revealed.
Key words: sump of an open coal mine, pontoon, potential of the velocities, frequency of the waves, waterline, metacentric heights, added masses of liquid, parametric pitching pontoon, Mathieu equation, Inc–Strutt stability diagram.
Received: 18.03.2016
Revised: 18.04.2016
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 4, Pages 346–358
DOI: https://doi.org/10.1134/S199542391604008X
Bibliographic databases:
Document Type: Article
UDC: 622.272+516.02
Language: Russian
Citation: S. V. Cherdantsev, N. V. Cherdantsev, “Analysis of the pontoon fluctuations with a seasonally changing parameter of stability on the astir surface of finite water depth”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 441–456; Num. Anal. Appl., 9:4 (2016), 346–358
Citation in format AMSBIB
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\paper Analysis of the pontoon fluctuations with a~seasonally changing parameter of stability on the astir surface of finite water depth
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\pages 441--456
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