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Analysis of axisymmetrical vibration of a partially liquid-filled elastic sphere by the method of Green's functionThe longitudinal dynamic behavior of launch vehicles is largely determined by their huge liquid propellant masses which are spring supported by the elastic tank walls. Throughout much of the powered flight time, these masses constitute a high percentage of the entire vehicle mass and, therefore, may dominate the fundamental modes of the vehicle. In this report, a spherical container is considered. The analysis is based on a Galerkin approach, in the course of which a second-order differential equation must be solved. The solution has been obtained by the method of Green's function. This method is favorable because it displays the manner in which the analysis can be extended to partially liquid-filled general shells of revolution. The computer programs currently available for partially liquid-filled propellant tanks are based on the finite element methods and result in analytical models having as many as several hundred degrees of freedom. The method applied in this report results in a model having less than 10 degrees of freedom as can be shown by numerical evaluation. Therefore, it will be possible to analyze propellant tanks using much less computer time with comparable accuracy.
Document ID
19740004433
Acquisition Source
Legacy CDMS
Document Type
Other - NASA Technical Note (TN)
Authors
Glaser, R. F. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Date Acquired
September 3, 2013
Publication Date
November 1, 1973
Subject Category
Structural Mechanics
Report/Patent Number
NASA-TN-D-7472
M-382
Accession Number
74N12546
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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