A METHOD FOR DETERMINING THE VIRTUAL MASS DISTRIBUTION AROUND A VIBRATING SHIP

Abstract

A method is presented for determining the three-dimensional virtual mass distribution associated with the vertical girder vibration of ships. The method was developed for use with a lumped mass/weightless beam ship representation and is based on a set of dipole distributions along the ship axis. It provides a virtual mass matrix with off-diagonal elements and enables all the vibration frequencies and shapes of the ship to be computed from a single matrix equation. The usual method for determining the frequencies and shapes uses a separate mass matrix for each mode. The method is preferable to the standard one for short or unusual ships and mode shapes, or where it is desirable to include all modes in a single equation. However, if separate consideration of each mode is acceptable, the standard technique is simpler for normal ships.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0703219

Entities

People

  • A. N. Hicks

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Flow
  • Frequency
  • Geometry
  • Mechanics
  • Munitions
  • Structural Mechanics
  • Three Dimensional
  • Three Dimensional Flow
  • Two Dimensional
  • Two Dimensional Flow
  • Vibration

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Naval Architecture and Marine Engineering.
  • Structural Dynamics.