Dynamic Modeling for Design: Space-Time Finite Element Formulation of an Euler Beam

Abstract

This paper demonstrates the application of finite element methods in both space and time to the partial differential equations that govern beam dynamics. The approach enables design problems for the structural response of beams subject to shock and vibration loading to be posed. Numerical validation of the results using a forward Euler ordinary differential equation solver is also shown.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1998
Accession Number
ADA350722

Entities

People

  • Eric L. Kathe

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Cyber
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Classification
  • Differential Equations
  • Dynamic Response
  • Dynamics
  • Engineering
  • Equations
  • Finite Element Analysis
  • Military Research
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Security
  • Standards
  • Stiffness
  • Structural Response
  • Vibration

Readers

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

Technology Areas

  • Space