Machine Learning and Knowledge Discovery for Engineering Systems Health Management

CHAPTER 6

Gaussian Process Damage Prognosis under Random and Flight Profile Fatigue Loading

Aditi ChattopadhyaySubhasish Mohanty

CONTENTS

6.1    Introduction

6.2    Theoretical Approach

6.2.1    Physics-Based Fatigue Damage Prognosis Model

6.2.2    Bayesian Framework for Damage Prediction

6.2.3    Damage Prediction Using GP Regression

6.2.3.1    Covariance Matrix to Kernel Matrix

6.2.3.2    Mean and Variance of the Predicted Damage at (n + 1)th Damage Level

6.2.3.3    Kernel Function Selection

6.2.3.4    Hyperparameter Determination

6.3    Numerical Results and Discussion

6.3.1    Fatigue Experiment and Data Collection

6.3.2    GP Input–Output Data

6.3.3    Future Damage State Prediction

6.3.3.1    Case I

6.3.3.2    Case II

6.3.3.3    Case ...