Fleet Prognosis with Physics-informed Recurrent Neural Networks

Authors: Renato Giorgiani Nascimento, Felipe A. C. Viana

Data and codes (including our implementation for both the multi-layer perceptron, the stress intensity and Paris law layers, the cumulative damage cell, as well as python driver scripts) used in this manuscript are publicly available on GitHub at https://github.com/PML-UCF/pinn. The data and code are released under the MIT License

Results of the summarizing process for the arXiv paper: 1901.05512v1

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The services and warranties of large fleets of engineering assets are highly profitable, with the success of companies in this area often relying on predictive maintenance driven by advanced analytics. Accurate modeling plays a crucial role in understanding how complex interactions between operating conditions and component capability define useful life, ultimately impacting services profitability. However, building prognosis models for large fleets can be challenging due to factors such as duty cycle variation, harsh environments, inadequate maintenance, and problems with mass production. To address these challenges, this paper introduces a novel approach to prognosis using physics-informed recurrent neural networks (RNNs) extended to cumulative damage models. The proposed RNN cell is designed to merge physics-informed and data-driven layers, providing engineers and scientists with the opportunity to model well-understood parts (e.g., fatigue crack growth) using physics-informed layers and poorly characterized parts (e.g., internal loads) using data-driven layers. To demonstrate the effectiveness of this approach, a simple numerical experiment is conducted. The experiment involves predicting fatigue crack length for a synthetic fleet of airplanes subjected to different mission mixes. The model is trained using full observation inputs (far-field loads) but limited observation outputs (crack length at inspection for only a portion of the fleet). Despite the observed distribution of crack length not matching the unobservable fleet distribution, the results show that the proposed hybrid physics-informed RNN accurately models fatigue crack growth. In conclusion, this paper presents an innovative method for fleet prognosis by combining physics-informed and data-driven approaches within recurrent neural networks. This approach has the potential to significantly improve accuracy in modeling complex interactions between operating conditions and component capability in large fleets of engineering assets. The availability of publicly accessible data and code further enhances its practical applicability.
AI-generated keywords: Fleet Prognosis Physics-Informed RNNs Predictive Maintenance Cumulative Damage Models Advanced Analytics

AI-generated Key Points

  • Services and warranties of large fleets of engineering assets are highly profitable
  • Success in this area relies on predictive maintenance driven by advanced analytics
  • Accurate modeling is crucial for understanding complex interactions between operating conditions and component capability
  • Building prognosis models for large fleets can be challenging due to various factors
  • A novel approach using physics-informed recurrent neural networks (RNNs) extended to cumulative damage models is introduced
  • The proposed RNN cell merges physics-informed and data-driven layers, allowing for modeling of well-understood and poorly characterized parts
  • A numerical experiment is conducted to demonstrate the effectiveness of the approach in predicting fatigue crack length in a synthetic fleet of airplanes
  • Despite differences in observed and unobservable crack length distributions, the hybrid physics-informed RNN accurately models fatigue crack growth
  • The approach combines physics-informed and data-driven approaches within recurrent neural networks for fleet prognosis
  • It has the potential to improve accuracy in modeling complex interactions in large fleets of engineering assets
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Abstract: Services and warranties of large fleets of engineering assets is a very profitable business. The success of companies in that area is often related to predictive maintenance driven by advanced analytics. Therefore, accurate modeling, as a way to understand how the complex interactions between operating conditions and component capability define useful life, is key for services profitability. Unfortunately, building prognosis models for large fleets is a daunting task as factors such as duty cycle variation, harsh environments, inadequate maintenance, and problems with mass production can lead to large discrepancies between designed and observed useful lives. This paper introduces a novel physics-informed neural network approach to prognosis by extending recurrent neural networks to cumulative damage models. We propose a new recurrent neural network cell designed to merge physics-informed and data-driven layers. With that, engineers and scientists have the chance to use physics-informed layers to model parts that are well understood (e.g., fatigue crack growth) and use data-driven layers to model parts that are poorly characterized (e.g., internal loads). A simple numerical experiment is used to present the main features of the proposed physics-informed recurrent neural network for damage accumulation. The test problem consist of predicting fatigue crack length for a synthetic fleet of airplanes subject to different mission mixes. The model is trained using full observation inputs (far-field loads) and very limited observation of outputs (crack length at inspection for only a portion of the fleet). The results demonstrate that our proposed hybrid physics-informed recurrent neural network is able to accurately model fatigue crack growth even when the observed distribution of crack length does not match with the (unobservable) fleet distribution.

Submitted to arXiv on 16 Jan. 2019

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