MATLAB (trade name) Modeling of Non-Uniform Beams Using the Finite Element Method for Dynamic Design and Analysis.

Abstract

The purpose of this report is to develop a model of non-uniform beams within a software environment that lends itself to design, simulation, and analysis of dynamic systems. The beam is modeled by the Euler-Bernoulli approximation using the finite element method. Reformulation of the second-order symmetric beam equations into the fIrst-order state-space domain enables dynamic analysis and design from within the modern control paradigm. The MATLAB software package is chosen as it is the current state-of-the-art modeling environment for control engineering. This report will present the development of the modeling software, develop some of the underlying theory and limitations of the analysis, demonstrate its use in the dynamic modeling and analysis of an XM291 gun system, and validate its results against known analytic results.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1996
Accession Number
ADA308123

Entities

People

  • Eric L. Kathe

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Energy and Power Technologies
  • Engineered Resilient Systems
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Case Studies
  • Center Of Gravity
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dynamic Response
  • Engineering
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Frequency Response
  • Geometry
  • Military Research
  • Resonant Frequency
  • Transient Response Analysis
  • Visual Inspection

Fields of Study

  • Engineering

Readers

  • Computational Modeling and Simulation
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space