Operators and Fractional Derivatives for Viscoelastic Constitutive Equations,

Abstract

The operator form of the constitutive equation containing fractional derivatives leads to an expression for the complex modulus which is a ratio of polynomials of fractional order in reduced frequency. A ratio of factored polynomials is developed by use of Bode diagrams; another related form arises from the generalized fractional Maxwell model. Bode diagrams are used to determine parameter values. Interconversion to other mechanical properties is outlined. The results potentially form the basis of a new theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1984
Accession Number
ADP004688

Entities

People

  • L. Rogers

Organizations

  • Wright Laboratory

Tags

DTIC Thesaurus Topics

  • California
  • Constitutive Equations
  • Differential Equations
  • Doppler Effect
  • Equations
  • Equations Of State
  • Frequency
  • Frequency Shift
  • Mathematics
  • Mechanical Properties
  • Partial Differential Equations
  • Polynomials
  • Vibration
  • Workshops

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Organic Chemistry
  • Structural Dynamics.