MIXED VARIATIONAL FORMULATION OF FINITE-ELEMENT ANALYSIS OF ACOUSTOELASTIC SLOSH FLUID-STRUCTURE INTERACTION

被引:33
作者
FELIPPA, CA
OHAYON, R
机构
[1] Department of Aerospace Engineering, Center for Space Structures and Controls, University of Colorado, Boulder
[2] Office National d'Études et de Recherches Aérospatiales
关键词
D O I
10.1016/0889-9746(90)90036-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A general three-field variational principle is obtained for the motion of an acoustic fluid enclosed in a rigid or flexible container by the method of canonical decomposition applied to a modified form of the wave equation in the displacement potential. The general principle is specialized to a mixed two-field principle that contains the fluid displacement potential and pressure as independent fields. This principle contains a free parameter α. Semidiscrete finite-element equations of motion based on this principle are displayed and applied to the transient response and free-vibrations of the coupled fluid-structure problem. It is shown that a particular setting of α yields a rich set of formulations that can be customized to fit physical and computational requirements. The variational principle is then extended to handle slosh motions in a uniform gravity field, and used to derived semidiscrete equations of motion that account for such effects. © 1990 Academic Press Limited.
引用
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页码:35 / 57
页数:23
相关论文
共 19 条
[1]  
DeRuntz, Geers, Added mass computation by the boundary integral method, International Journal of Numerical Methods in Engineering, 12, pp. 531-550, (1978)
[2]  
Felippa, DeRuntz, Finite element analysis of shock-induced hull cavitation, Computer Methods in Applied Mechanics and Engineering, 44, pp. 297-337, (1984)
[3]  
Felippa, Symmetrization of the contained compressible fluid vibration eigenproblem, Communications in Applied Numerical Methods, 1, pp. 241-247, (1985)
[4]  
Felippa, Some aspects of the symmetrization of the contained compressible fluid eigenproblem, Proceedings Fourth International Symposium on Numerical Methods in Engineering, pp. 249-255, (1986)
[5]  
Felippa, Symmetrization of coupled eigenproblems by eigenvector augmentation, Communications in Applied Numerical Methods, 4, pp. 561-563, (1988)
[6]  
Geers, Ruzicka, Finite-element/boundary-element analysis of multiple structures excited by transient acoustic waves, Numerical Methods for Transient and Coupled Problems, pp. 150-162, (1984)
[7]  
Geradin, Roberts, Huck, Eigenvalue analysis and transient response of fluid structure interaction problems, Engineering Computations, 1, pp. 151-160, (1984)
[8]  
Khabazz, Dynamic behavior of liquid in elastic tanks, AIAA Journal, 9, pp. 1985-1990, (1970)
[9]  
Kinsman, Water Waves, (1965)
[10]  
Lamb, Hydrodynamics, (1945)