Neural lumped parameter differential equations with application in friction-stir processing.

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Title: Neural lumped parameter differential equations with application in friction-stir processing.
Authors: Koch, James1 (AUTHOR) james.koch@pnnl.gov, Choi, WoongJo1 (AUTHOR), King, Ethan1 (AUTHOR), Garcia, David1 (AUTHOR), Das, Hrishikesh1 (AUTHOR), Wang, Tianhao1 (AUTHOR), Ross, Ken1 (AUTHOR), Kappagantula, Keerti1 (AUTHOR)
Source: Journal of Intelligent Manufacturing. Feb2025, Vol. 36 Issue 2, p1111-1121. 11p.
Subjects: Ordinary differential equations, Lumped elements, Differential equations, Machine learning, Power tools
Abstract: Lumped parameter methods aim to simplify the evolution of spatially-extended or continuous physical systems to that of a "lumped" element representative of the physical scales of the modeled system. For systems where the definition of a lumped element or its associated physics may be unknown, modeling tasks may be restricted to full-fidelity physics simulations. In this work, we consider data-driven modeling tasks with limited point-wise measurements of otherwise continuous systems. We build upon the notion of the Universal Differential Equation (UDE) to construct data-driven models for reducing dynamics to that of a lumped parameter and inferring its properties. The flexibility of UDEs allow for composing various known physical priors suitable for application-specific modeling tasks, including lumped parameter methods. The motivating example for this work is the plunge and dwell stages for friction-stir welding; specifically, (i) mapping power input into the tool to a point-measurement of temperature and (ii) using this learned mapping for process control. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Intelligent Manufacturing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Neural lumped parameter differential equations with application in friction-stir processing.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Intelligent+Manufacturing%22">Journal of Intelligent Manufacturing</searchLink>. Feb2025, Vol. 36 Issue 2, p1111-1121. 11p.
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  Data: Lumped parameter methods aim to simplify the evolution of spatially-extended or continuous physical systems to that of a "lumped" element representative of the physical scales of the modeled system. For systems where the definition of a lumped element or its associated physics may be unknown, modeling tasks may be restricted to full-fidelity physics simulations. In this work, we consider data-driven modeling tasks with limited point-wise measurements of otherwise continuous systems. We build upon the notion of the Universal Differential Equation (UDE) to construct data-driven models for reducing dynamics to that of a lumped parameter and inferring its properties. The flexibility of UDEs allow for composing various known physical priors suitable for application-specific modeling tasks, including lumped parameter methods. The motivating example for this work is the plunge and dwell stages for friction-stir welding; specifically, (i) mapping power input into the tool to a point-measurement of temperature and (ii) using this learned mapping for process control. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Intelligent Manufacturing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10845-023-02271-5
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        Text: English
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        Type: general
      – SubjectFull: Lumped elements
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      – SubjectFull: Differential equations
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      – SubjectFull: Machine learning
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      – SubjectFull: Power tools
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      – TitleFull: Neural lumped parameter differential equations with application in friction-stir processing.
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              Text: Feb2025
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              Y: 2025
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