Response of a Beam on a Highly Elastic Foundation

Abstract

This report develops and analyzes the equations of motion of an infinite Euler-Bernoulli beam that is in contact with a set of periodic support beams. The support beams are modeled as Euler-Bernoulli beams in their transverse directions and modeled using the wave equation in their axial directions. This new formulation allows the support beam models to admit wave propagation so that the dynamic effects of a long foundation can be understood. Three different loading cases are analyzed and the results are discussed.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 24, 2008
Accession Number
ADA482838

Entities

People

  • Andrew John Hull

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Displacement
  • Dynamic Response
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Domain
  • Military Research
  • Models
  • Modulus Of Elasticity
  • Moment Of Inertia
  • Transfer Functions
  • Transverse
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics