RECENT DEVELOPMENTS IN THE THEORY OF SHIP VIBRATION

Abstract

It is shown in this report that by considering the ship hull as a floating beam having shearing and bending flexibility with a distributed viscous damping proportional to mass it is possible to derive equations of motion under external forces by the general Rayleigh method which yields a solution in terms of normal modes of motion. Practical methods of determining natural frequencies and normal modes are discussed, and it is shown that solutions based on finite- difference equations can be obtained with the use either of a digital sequence calculator or an electrical analog. A discussion is given of coupled horizontal bending and torsional modes as well as vertical modes of vibration. It is pointed out that the finite-difference-equation method applied to vertical vibration of a vessel of merchant type has given results in good agreement with experimental values up to the sixth vertical mode.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1953
Accession Number
AD0610138

Entities

People

  • A. N. Gleyzal
  • G. K. Hess Jr.
  • R. L. Hess
  • R. T. Mcgoldrick

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computational Science
  • Difference Equations
  • Differential Equations
  • Elastic Properties
  • Engineers
  • Equations
  • Frequency
  • Mechanics
  • Model Basins
  • Modulus Of Elasticity
  • Momentum
  • Naval Architecture
  • Resonant Frequency
  • Shear Modulus
  • Shipbuilding
  • Test And Evaluation
  • Vibration

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Naval Architecture and Marine Engineering.
  • Structural Dynamics.