CONSISTENT MASS MATRIX IN FLUID SLOSHING PROBLEMS

The problems involving the free-surface vibration of fluids in a container are explored. It is shown that a derivation of the mass matrix for such sloshing problems based on lumping the effective vibration mass at various nodes gives much inferior results in comparison to a consistent mass matrix. The consistent mass matrix is of the same bandwidth as the stiffness matrix whereas the lumped mass approach has only the diagonal terms nonzero. Thus, a consistent mass formulation implies a time penalty on computations.

• Corporate Authors:

  American Institute of Aeronautics and Astronautics

  1290 Avenue of the Americas
  New York, NY  United States  10019
• Authors:
  • Steven, G P
• Publication Date: 1976-2

Media Info

• Features: References;
• Pagination: p. 245-247
• Serial:
  • AIAA Journal
  • Volume: 14
  • Issue Number: 2
  • Publisher: American Institute of Aeronautics and Astronautics
  • EISSN: 1533-385X
  • Serial URL: https://arc.aiaa.org/journal/aiaaj

Subject/Index Terms

• TRT Terms: Coefficients; Fluid dynamics; Free surface; Mass; Sloshing
• Old TRIS Terms: Added mass; Free surface effects
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00148572
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Feb 23 1977 12:00AM