THE USE OF HIGHER-ORDER DIFFERENCE METHODS IN BEAM VIBRATION ANALYSIS

Abstract

Simple and higher-order difference methods for the solution for the natural frequencies of vibration of a uniform beam are compared. The same basic higher-order method is used throughout for the interior cells, but three different methods of boundary-condition representation are given. Tables and graphs of the error in mode frequencies, as compared with a continuous beam, are given for the various methods as a function of the number of cells. It is concluded that higher-order methods improve accuracy for a given number of cells, with essentially no change in the quantity of computing equipment required.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0267470

Entities

People

  • Donald T. Greenwood

Organizations

  • University of Michigan

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analog Computers
  • Bending Moments
  • Cantilever Beams
  • Cell Size
  • Computer Programming
  • Computers
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Electrical Circuits
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Partial Differential Equations
  • Resonant Frequency
  • Vibration

Readers

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