Complex Variable Methods for Fatigue Sensitivity Analysis (Preprint)

Abstract

Complex variable, numerical differentiation techniques have proven useful in many fields of engineering analysis. Complex Taylor series expansion and Fourier differentiation are two such complex variable methods. This paper adapts the use of both complex Taylor series expansion and Fourier differentiation for fatigue sensitivity analysis. The sensitivity of the number of cycles to failure to input parameters and initial conditions has been determined by traditional numerical differentiation techniques as well as through complex variable methods. Both complex Taylor series expansion and Fourier differentiation have been found to be more accurate and stable than traditional central differencing.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2009
Accession Number
ADA502218

Entities

People

  • A. Voorhees
  • H. Millwater
  • R. Bagley

Organizations

  • University of Texas at San Antonio

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Analytic Functions
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Integrals
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Sensitivity
  • United States

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.