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Digital Twins

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Progress in Industrial Mathematics: Success Stories

Part of the book series: SEMA SIMAI Springer Series ((ICIAM2019SSSS,volume 5))

Abstract

Digital Twins are one of the hottest digital trends. In this contribution we review the concept of Digital Twins and the chances for novel industrial applications. Mathematics are a key enabler and the impact will be highlighted along four specific examples addressing Digital Product Twins democratizing Design, Digital Production Twins enabling robots to mill, Digital Production Twins driving industrialization of additive manufacturing, and Digital Performance Twins boosting operations. We conclude the article with an outlook on the next wave of Digital Twins, Executable Digital Twins, and will review the associated challenges and opportunities for mathematics.

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Notes

  1. 1.

    For a more precise definition c.f. Sect. 3.

  2. 2.

    C.f. https://github.com/nasa/NASTRAN-95 or the corresponding commercial versions.

  3. 3.

    Covering such divers fields as mechanics, electro-magnetic, fluid dynamics, thermodynamics, and many more.

  4. 4.

    It is actually an ongoing process and only very few examples exist with complex model-based engineering philosophies.

  5. 5.

    For a short explainer see also https://youtu.be/ObGhB9CCHP8.

  6. 6.

    https://www.assessinitiative.com/wp-content/uploads/Understanding-and-Enabling-the-Simulation-Revolution.pdf.

  7. 7.

    Design concepts in VR https://youtu.be/ecg9JxsrNw8.

  8. 8.

    Siemens SINUMERIK module Run MyCC/ROCO.

  9. 9.

    Precise, Digital and Flexible https://youtu.be/2iIN-9Kno3o.

  10. 10.

    Virtual X-ray for large motors https://youtu.be/86vkjykbHRM.

  11. 11.

    Typically models today are distributed separately from their execution/simulation tools.

  12. 12.

    In the context of Artificial Intelligence applications this separation is a fact already today.

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Acknowledgements

The authors greatly acknowledge the contributions of Utz Wever, Stefan Gavranovic, and Hans-Joachim Bungarz for the use case of interactive design tools (Sect. 4.1), Florian Schöes, Michael Zäh, Sven Tauchmann, Birgit Obst, and Frank Fischer for the use case of robot milling (Sect. 4.2), Christoph Kiener, Frank Fischer, and Meinhard Paffrath for the robotic cleaner (Sect. 4.3), and Utz Wever, Birgit Obst, Theo Papadopoulos, Wenrong Wen, and Philipp Stelzig for the virtual temperature sensors (Sect. 4.4): In particular also see the corresponding publications. Furthermore, we gratefully acknowledge the support of the Innovation Fund of the Siemens AG enabling the transfer of unique mathematical building blocks to industrial innovations.

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Authors and Affiliations

  1. Siemens Technology, Munich, Germany

    Dirk Hartmann

  2. Siemens Industry Software NV, Leuven, Belgium

    Herman Van der Auweraer

Authors
  1. Dirk Hartmann
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  2. Herman Van der Auweraer
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Corresponding author

Correspondence to Dirk Hartmann .

Editor information

Editors and Affiliations

  1. Departamento de Matemática, Instituto Superior de Engenharia do Porto, Porto, Portugal

    Manuel Cruz

  2. Departamento de Análisis Matemático, Estadística e Investigación Operativa y Matemática Aplicada, Universidad de Málaga, Málaga, Spain

    Carlos Parés

  3. ITMATI (Technological Institute for Industrial Mathematics), R&D&i Unit, Santiago de Compostela Spain; Red Española Matemática-Industria (math-in), Santiago de Compostela, Spain

    Peregrina Quintela

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Hartmann, D., Van der Auweraer, H. (2021). Digital Twins. In: Cruz, M., Parés, C., Quintela, P. (eds) Progress in Industrial Mathematics: Success Stories. SEMA SIMAI Springer Series(), vol 5. Springer, Cham. https://doi.org/10.1007/978-3-030-61844-5_1

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