Computation of the natural modes and frequencies of a rigid tank of arbitrary shape partially filled with water
Abstract
A three-dimensional finite element method was used to transform the rigid-shell natural mode-frequency problem into an eigenvalue treatment of a linear operator in finite-dimensional space. Two fluid finite elements are defined: a parallelepiped element and an isoparametric-type hexahedron element. Theoretical results of applying these parameters to the analysis of parallelepipedal and cylindrical tanks are presented and compared with analytical results from the literature. The work is relevant to the vibration of aircraft fuel pods and to the design of tankers.
- Publication:
-
La Recherche Aerospatiale
- Pub Date:
- November 1975
- Bibcode:
- 1975ReAeB......102T
- Keywords:
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- Finite Element Method;
- Liquid Sloshing;
- Resonant Frequencies;
- Tanks (Containers);
- Vibration Mode;
- Calculus Of Variations;
- Eigenvalues;
- Liquid Filled Shells;
- Rigid Structures;
- Fluid Mechanics and Heat Transfer