Accurate fatigue crack evaluation is vital for structural life management. Long-term aircraft monitoring faces challenges from heteroscedasticity—changing uncertainty distributions under varying operational conditions—which degrades conventional diagnostics’ accuracy. This study develops a heteroscedastic Gaussian process model combined with guided-wave SHM, using quantile regression to estimate crack evaluation distribution. The median regression output replaces traditional mean estimation, while quantile-specific confidence intervals explicitly represent heteroscedastic uncertainties. Validated through aircraft attachment lug fatigue tests, the method enhances evaluation quality and uncertainty quantification capabilities.

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Heteroscedastic Gaussian Process Modeling for Crack Evaluation Under Stochastic Loads

  • Wang Hui

摘要

Accurate fatigue crack evaluation is vital for structural life management. Long-term aircraft monitoring faces challenges from heteroscedasticity—changing uncertainty distributions under varying operational conditions—which degrades conventional diagnostics’ accuracy. This study develops a heteroscedastic Gaussian process model combined with guided-wave SHM, using quantile regression to estimate crack evaluation distribution. The median regression output replaces traditional mean estimation, while quantile-specific confidence intervals explicitly represent heteroscedastic uncertainties. Validated through aircraft attachment lug fatigue tests, the method enhances evaluation quality and uncertainty quantification capabilities.