Numerical Solution to Beam Vibrations under a Moving Couple

Abstract

The finite element solution formulation in time- and space- coordinates is extended to beam vibrations effected by a moving couple. This problem has direct application to gun motions analysis with an unbalanced moving projectile. The moving load, instead of being a time-dependent Dirac delta function as for the case of a moving concentrated force, is now the derivative of this Dirac delta function. This singular function does not present any difficulty due to the variational process employed. This solution procedure is described together with results of beam motions subjected to a couple moving with various speeds.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA103387

Entities

People

  • J. J. Wu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Bending Moments
  • Deflection
  • Delta Functions
  • Demonstrations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Grids
  • Materials
  • Mechanical Properties
  • Numerical Analysis
  • Projectiles
  • Security
  • Standing Waves
  • Vibration
  • Weapon Systems
  • Weapons

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers