The Use of Matrix Displacement Method for Vibrational Analysis of Structures.

Abstract

A study of the matrix displacement method for modeling the vibrations of structures is presented in this report. The model can analyze both the free and forced vibrations of a structure. Static loading on a structure is treated as a special case of the forced vibration analysis. A brief review of the Finite Element Method and its present use is first given. This is followed by a discussion of the methodology of the matrix displacement approach and a description of the specific model used. Examples of the use of the model to analyze the frequencies and mode shapes of the free and forced response of a beam structure and the static deflections of a beam structure are shown and compared with the closed form solutions. Finally, ways of extending the model to a more complicated structure, a turbine blade, are discussed. Conclusions are then drawn.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA126414

Entities

People

  • William O. Hughes

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Civil Engineering
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Finite Element Analysis
  • Materials
  • Mechanical Engineering
  • Mechanics
  • Physical Properties
  • Resonant Frequency
  • Structural Analysis
  • Structural Engineering
  • Turbine Blades

Fields of Study

  • Engineering

Readers

  • Computational Modeling and Simulation
  • Structural Dynamics.