Vibration of a Cantilever Beam That Slides Axially in a Rigid Frictionless Hole

Abstract

In 1979, Boresi and Salinas prepared a report that formulates the problem and proposes a solution procedure. The report was the result of an interest in the transient behavior of a gun barrel during recoil following firing. This research considers a cantilever beam which can move axially in and out of a rigid frictionless hole and is free to vibrate laterally outside the hole. Two Euler equations describing the lateral and axial motion of the beam are presented. A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1990
Accession Number
ADA241352

Entities

People

  • Mark R. Devries

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cantilever Beams
  • Case Studies
  • Classification
  • Coast Guard
  • Computational Fluid Dynamics
  • Computational Science
  • Deflection
  • Differential Equations
  • Engineering
  • Euler Equations
  • Mechanical Engineering
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Security
  • United States

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.