Spectral Method in Multiaxial Random Fatigue

1. Front Matter

   Pages I-2

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2. Introduction

   Pages 3-5

3. Spectral Methods for Fatigue Description

   Pages 7-36

4. Theoretical Fundamentals

   • Adam Niesłony, Ewald Macha

   Pages 37-66

5. Algorithm of Spectral Method for Evaluation of Fatigue Life

   Pages 67-71

6. Simulations

   • Adam Niesłony, Ewald Macha

   Pages 73-112

7. Experimental Studies

   • Adam Niesłony, Ewald Macha

   Pages 113-133

8. Conclusions

   • Adam Niesłony, Ewald Macha

   Pages 135-136

9. Back Matter

   Pages 137-147

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Themonographisdevotedtothespectralmethodfordeterminationoffatigue life of machine elements and structures under multiaxial service loading. A detailed review of literature on spectral methods that includes: publications describing various relations between histories of loading and power spectral density functions, some methods of fatigue life determination under Ga- sian loading and under multiaxial service loading has been presented in the monograph. The monograph contains theoretical foundations of the spectral method for fatigue life determination. The authors have discussed a rule of description of random loading states with the matrix of power spectral d- sity functions of the stress/strain tensor components. Some chosen criteria of multiaxial fatigue failure being linear combinations of stress or strain com- nents on the critical plane have been analyzed. The proposed formula enables to determine power spectral density of the equivalent history directly from the components of the power spectral density matrix of the multidimensional stochastic process. The assumptions and the procedure of determination of basic relationships of the spectral method according to stress and strain - proacheshavebeen presented. The authors workedout equations determining the fatiguelife accordingto the spectralmethod using various linear hypot- ses of fatigue damage accumulation.

• Fatigue Life Calculation
• Fundament
• Life Determination
• Power Spectral Density
• Random Loading
• Simulation
• algorithm
• algorithms

From the reviews:

"The monograph is devoted to theoretical foundations of spectral methods for fatigue life determination and their numerical realization. The book is divided into seven chapters. … In total, this book may be useful for students and engineers of the corresponding specialities." (I. A. Parinov, Zentralblatt MATH, Vol. 1131 (9), 2008)

• Faculty of Mechanics Department of Mechanics and Machine Design, Opole University of Technology, ul. Mikolajczyka 5, Poland

  Adam Niesłony, Ewald Macha

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