Vibration of a Cantilever Beam that Slides Axially in a Rigid Frictionless Hole.

Abstract

This paper considers a cantilever beam which can move in and out of a rigid frictionless hole. Hamilton's principle is used for the development of two governing equations, and boundary conditions defined over a moving boundary. A transformation of coordinates is used to transform the problem into a system of two nonlinear p.d.e. defined over a fixed region. A discussion of some mathematical and physical considerations is presented. Finally, a finite element formulation of the problem is presented. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA075944

Entities

People

  • Arthur P. Boresi
  • David Salinas

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Cantilever Beams
  • Difference Equations
  • Differential Equations
  • Energy
  • Equations
  • Euler Equations
  • Finite Element Analysis
  • Frequency
  • Kinetic Energy
  • Mechanical Energy
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Reliability
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Electrical Engineering