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Sib. Zh. Vychisl. Mat., 2016, Volume 19, Number 4, Pages 441–456 (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

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.

DOI: https://doi.org/10.15372/SJNM20160408

Full text: PDF file (776 kB)
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English version:
Numerical Analysis and Applications, 2016, 9:4, 346–358

Bibliographic databases:

UDC: 622.272+516.02
Received: 18.03.2016
Revised: 18.04.2016

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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