Accession Number : ADP004688

Title :   Operators and Fractional Derivatives for Viscoelastic Constitutive Equations,

Corporate Author : AIR FORCE WRIGHT AERONAUTICAL LABS WRIGHT-PATTERSON AFB OH

Personal Author(s) : Rogers,L.

Report Date : NOV 1984

Pagination or Media Count : 11

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)

Descriptors :   *OPERATORS(MATHEMATICS), *DAMPING, *EQUATIONS, VISCOELASTICITY, POLYNOMIALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE