Improved Solution Techniques for the Eigenstructure of Fractional Order Systems

Abstract

The structural problem of a viscoelastically damped rod is considered. A four parameter fractional derivative viscoelastic model rather than the traditional viscous model is used to describe the stress-strain relationship. The introduction of fractional order derivatives leads to high order matrix equations, which are cumbersome and time consuming to solve. Thus, there exists a motivation to seek alternate solution techniques. An existing technique, modified matrix iteration, is presented, and a new one, employing spectrum shift concepts, is proposed. The spectrum shift technique is shown to be significantly more efficient. Keywords: Viscoelasticity; Damping; Numerical methods.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA213844

Entities

People

  • Michele L. Devereaux

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Computations
  • Computer Programs
  • Computers
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Frequency
  • Iterations
  • Mechanical Properties
  • Modulus Of Elasticity
  • Numbers
  • Security
  • Spectra
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Structural Dynamics.
  • Systems Analysis and Design