The Stability of a Beam Subjected to a Moving Mass.

Abstract

The parametric stability of a slender, elastic simply supported beam subjected to the action of a concentrated mass moving at constant velocity along its axis is investigated. The Galerkin procedure is applied to reduce the partial differential equation of motion to an ordinary differential equation in time with periodic coefficients. A perturbation procedure is employed to solve this differential equation, and the boundary curves of the fundamental region of instability are determined. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA037719

Entities

People

  • G. L. Anderson

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Dynamic Response
  • Equations
  • Finite Element Analysis
  • Infinite Series
  • Instability
  • Internal Pressure
  • Materials
  • Oscillation
  • Partial Differential Equations
  • Periodic Functions
  • United States Military Academy

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra
  • Molecular Photonics/Laser Physics