Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank

YU Yan-sheng; MA Xing-rui; WANG Ben-li

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YU Yan-sheng, MA Xing-rui, WANG Ben-li. Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(8): 901-911.

Citation:

YU Yan-sheng, MA Xing-rui, WANG Ben-li. Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(8): 901-911.

Citation:

YU Yan-sheng, MA Xing-rui, WANG Ben-li. Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(8): 901-911.

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Multidimensional Modal Analysis of Liquid Nonlinear Sloshing in Right Circular Cylindrical Tank

1.
Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, P. R. China;

Received Date: 2006-05-15
Rev Recd Date: 2007-03-29
Publish Date: 2007-08-15

Abstract

Abstract

The multidimensional modal theory proposed by Faltinsen,et al(2000)was applied to solve liquid nonlinear free sloshing in right circular cylindrical tank.After selecting the leading modes and fixing the order of magnitudes based on the Narimanov-Moiseiev third order asymptotic hypothesis, the general infinite dimensional modal system was reduced to a five dimensional asymptotic modal system(the system of second order nonlinear ordinary differential equations coupling the generalized time dependent coordinates of free surface wave elevation).The numerical integrations of this modal system discover most important nonlinear phenomena,which agree well with both pervious analytic theories and experimental observations.The results indicate that the multidimensional modal method is a very good tool for solving liquid nonlinear sloshing dynamics and will be developed to investigate more complex sloshing problem in our following work.
- circular cylindrical tank,
- nonlinear free sloshing,
- multidimensional modal method,
- asymptotic modal system,
- dispersion effect

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References(18)

References

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