The Laplace multi-axial response model for fatigue analysis

Authors

  • Johan Karlsson Fraunhofer-Chalmers Centre for Industrial Mathematics, SE-412 88 Gothenbourg, Sweden
  • Krzysztof Podgórski Department of Statistics Lund University School of Economics and Management Box 743, SE-22007 Lund, Sweden
  • Igor Rychlik Mathematical Sciences, Chalmers University of Technology, SE-412 96 Gothenbourg, Sweden

Keywords:

Laplace moving averages, multi-axial loads, rainflow method, random loading, spectral density function

Abstract

This paper introduces means for fatigue damage rates estimation using Laplace distributed multiaxial loads. The model is suitable for description of stresses containing transients of random amplitudes and locations. Explicit formulas for computing the expected value of rainflow damage index as a function of excess kurtosis are given for correlated loads. A Laplace model is used to describe variability of forces and bending moments measured at some location ona cultivator frame. An example of actual cultivator data is used to illustrate the model and demonstrate the accuracy of damage index prediction.

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Working Papers in Statistics