In order to achieve the more advanced remanufacturing and refurbishment activities, RECLAIM defined a new general digital twins architecture that aims at monitoring and predicting the health state, and performance of the large industrial equipment [8]. Based on this architecture, all the necessary data and information for the predictive maintenance activities can be collected in time, thus avoiding the shutdown of the machine caused by the unexpected failure. As shown in Figure 1, the architecture of RECLAIM’s digital twins model has been split into three units, including the physical component, the simulation component, and the data and information interaction system to connect these two systems [4]. This technique is developed to support the RECLAIM project to reasonably recycle the waste of large industries situation. To be more specific, the AI environment is used to store and run the related algorithms, such as fault diagnosis and predictive maintenance. The AI engine is used to handle the interactions between different algorithms. The orchestrator is used to orchestrate all related missions, such as receiving, storing and processing the historical and real-time data. The simulation environment is used to run the different simulation models based on the real-time requires and each model is wrapped by a simulation manager.
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)
Figure 1: General architecture of digital twins.
Digital Twins for Fault Diagnosis of Rolling Bearing
In this part, we customize the general digital twins’ architecture in the specific mission of fault diagnosis for rolling bearing. As the most critical part of the large rotating machine, the health state of the rolling bearing should be real time monitored because the malfunction of the bearing will result in the breakdown of their large equipment. Meanwhile, these unexpected failures will lead to an increase in the risk of failure, the cost of repair and the time of maintenance. Therefore, it is very important to develop the fault diagnosis technique of rolling bearing for identifying the malfunction at the early stage. With the rapid development of the digitalization of the industrial system, more and more AI techniques have been widely used for fault diagnosis. However, these advanced methods are limited to the problem of collecting data. The reason is that it is difficult to acquire enough data for all kinds of machines and application scenarios from the complex and harsh industrial environment. The current studies are focus on dealing with this data challenge by using advanced deep learning methods, such as transfer learning [9, 10], few shot learning [11] .
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)
Figure 2: Digital twins framework for fault diagnosis of the rolling bearing in the RECLAIM project.The digital twins’ technique is a very promising method for this challenge because the missing data can be supplemented by the digital simulation model. According to this thought, the advanced AI approach can be implemented for the limited real data scenarios and even for the new application without real data. Therefore, we propose a digital twins framework for fault diagnosis of the rolling bearing in the RECLAIM project, which is shown in Figure 2. As one can see from the figure, all the industrial pilots, including welding, robotics and enameling
, woodworking, shoemaking and textiles, have numerous large rotating equipment with rolling bearing as the supporting. It is impossible to install the accelerometer sensor on each machine because these will cost too much. However, we still need the data to train the fault diagnosis model, thus the system can identify the fault. Therefore, we can simulate the fault signal based on the failure mechanism of the rolling bearing. Finally, the simulated data can promote the performance of the fault diagnosis system. The digital model of the rolling bearing fault will be presented in the next section.
Digital Model of Rolling Bearing Fault Signal
![](data:image/png;base64,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)
Figure 3: force analysis.
Digital model of rolling bearing fault signal x(t) is defined as follows [12]:
![](data:image/png;base64,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)
where T0 is the period of impulses, Ti is the minor random vibration around the average period T0. N is the number of impulses and i is the sequence number of these impulse. Ai is the mixed dynamic force and load, which is defined as:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAAApCAYAAAD9CHbEAAAIAklEQVR4Ae1cTdKlKgx1XS7IbfSwp67GaS+hhz1wEW8JvAoQhRBC5HopPytfVZc/YJJzCIf4c3ty9mcMGAPGQCcDU+d1dpkxYAwYA84ExJLAGDAGuhkwAemmzi40BowBExDLAWPAGOhmwASkmzq70BgwBkxALAeMAWOgm4GvCsi+Lm5ZdzE432eT+4gGHtyowX93+BqfP4nzT/H8JKyf5IKGJ2r/Dm4+EhAIgNeH3a3z7OZlc21pgL6Tm+ZV0ZdS8NTjBv5tcdM0Hf9mnkQCbnNLck3JV8NnZm0Q5/vq5jRmaX/ZsgiduwvPIKwk+nGHFZ72zS0wr5DzeXFrsVB/zk2/gPhJsDg67EDctsxOnhSbW0jCbMvkJnJu3CDc64ni//uXt+8xwwA3cceB9smwuCIPmpyXfIdx0vjmY9ec3dfZTTPEi8tIFMFssdjdukxFvlAOS38lJimHpLbS9s85w/IkCDeXap9w0ykguBqWAhKSRq4moE8JJEwSWXieP7AU/58/zk2Tc79/09iRw3b15W3GlaTkzTnqk3ri+YZe3+V8W0h+xMqrGONtzSrZFh4f+eUc+i5WyvmIY54nxJlU//sWqnxcgIrg8BoU+qJD9USXgIDq+dIoW0nAR5gUXJKHCHa3wao0kcTC8ISqBrs8e1vi/+8/5379cu7fPxI5rBLzEsvMCh9wiV9NFrdAhTbN2UQLFkufp6cG39DxIueQtIUAnA6Tvc2t5NbMJ/w0FYvHvq5JJSvhAfMNTBIeqS2J/GfsVnja18pzxyASfA5dzwPk6LqAbIt/tsE9twgJwk+G3Q9eck/GJFKYLGU5i8F+ewsxzsl9IzzDufIn4ad2cCKG2xieMy/IM4hGSJbyuUesPhhBVvENQcVyVycKwZ+2b44ZE7iGNfSWOFRhkvBIbXmwjz+SeKoFL+ZaJzcXBQQezMDtSUyGbILFc0VVksBpBqmwkZi7bxf8wm1VLOFwwnIiV3V6JfbgDxboMKhcZRGeJXmKo/iWE7fhs8k3gGnYIHhR+Mjp9mGMRX7eo4iliUmyIbW1ITynRw+OeE02Z1NEPTbdld/CgANM9LAi5gkdV8lqgLhaoo00+HNfVEm/YMbbp/hM4HjKzBzn8Z0+6J73SeIOCn+lGmrjP/2iECMnXFkf3mLBNSEWjjfZZ/26MxLYa3Ge9u4WkKoIptZlPNBTg0nCI7WlkTx7v81TEb8XXrn66+FGXYFkicOtAooVxgcoVShHMnOTpaDknhM+sRl/qoRPQlDgP3qDbRQszg/YOniKKwNzm4K3H4etw0HY0fANPUPiMBwQe3CY5QHTXjul8qHgUINJ8iW11WJ/3HkFTzRmeG6JKUfb8LiHG52AYMBklc8Cwj7ZSQwNtjrV7AGRerm2Xy/bwkpXVgZV+03855WA8aCpuC6t9PyMDd9SHBecdmQB0fEN1mqcIwdSlYdtXHhnpDGWQxTPlmyv4CJrvSWHalipp0cfN3nKo9eKfg83CgEhCQ2xxVUzS5oWKO6aHKc/6gHBmNGdijGXtzp1YakabuE/LoTJlJaS+eSiKwVO4oxrtCX5VPINpq5wrk1GDNFvuSor6xAPJDzQRYlJwiO1cSE98lyLpzTorf01OHbv4aYpIJAwNHlDUtOSV17xQnDpxMGw822rH04oXPmkbSkMuS8ex7nqU9z51fRIxn/0hsHPVuJ4HYhKfMN19D0md423us8Wj3ofac++WxgcszafdTwQhRaT1E9qy5E++Ujm6YgcXum2ST+693AjCwiT0OCNn3jSqi21HfGD5YGftUdfWTXg0fkYWuKTRh32dbEDd7ltjIP7oCwmSiY4qeeaz9r59Frcv9K3R0AQX00EMQ7YSrFIbXfbSO09cV/BRWXuOnjDuHAfeipsMlRUBSS8c+cGPTpiPmriheVc0f3EgZKq+nlFmDD5BGOivuMUloH+VW3y+naW37zgasrFWMWP8cKKMJUVXVB+WtHtccXVxEOujdjafENg1zgvBRDB8Vvka2KTtrymyqEak4RHaitjefKZKk8w3UA8yPPKtFLncvdqHiA3jICgQOBHX6eIHMmQBpepQWWA8LsKeA2M31pgBOnW3+Oe/tKmu/ePAdiSH3yxPzjKPSMH1wYh8JIOYvpRGNhMaUQfWX9GsENkDOdavsHARc4hNh57zhM+r8gxaH57w+AB01pMEh6pjYT//EOeJ+5ju3wMyGKDQDu5YQQELfZtffJXS27JZhAuVXJKZlRtfeWaxnQ/fo11vk+/z5Gc87FzZ7+D55lYOfzac/08UQ/93NwuIBCaL8nTJZXGyxzfRwZjnJ5Ky2HadsNxD/5P3fb4HMr5RYB343ky1ovUZN17eMoM+CcM8Ktp7rkI7Vkef0VA5IdhNAi415/Jmwna595jT3rx8PROH9+rcOpRXvE5nvN63LWWu/D8BKw1DjTnr/BE7X3OzZcEJAQK92Oq/5GM/GqTwrz1+MvVRxqrBn/a/459jc+e/73qjth6bHyK5ydh7eEHr9HwhH1xewc3XxUQDNS2xoAx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4GTEDeOa6GyhgYwoAJyBCazYkx8E4G/geO7U4gc9TKlwAAAABJRU5ErkJggg==)
Where M(t) is related to gravity and T(t) is related to an unbalanced force. All the impulses are caused by the rolling element run over the defect and each of them can be considered as exponential decay oscillation and can be calculated as follows:
![](data:image/png;base64,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)
Where fn denote the inherent frequency and B denotes the decay factor. Based on the above theoretical definition, the general fault signal of the outer race, inner race and ball, can be expressed as follows:
1. Simulation equation of Outer race fault signal:
![](data:image/png;base64,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)
2. Simulation equation of Inner race fault signal:
![](data:image/png;base64,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)
3. Simulation equation of Ball fault signal:
![](data:image/png;base64,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)
Where m denotes mass, g denotes gravity acceleration, e denotes eccentricity which used as a measure of its deviation from circularity, fr denotes the rotating frequency,
denotes the angular velocity,
and
denote the initial phase position between the failure position and the gravity and eccentricity, respectively, which is shown in Figure 3.