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Related Concept Videos

Gauss's Law: Problem-Solving01:10

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes
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Physics-informed Gaussian process for tool wear prediction.

Kunpeng Zhu1, Chengyi Huang2, Si Li3

  • 1Institute of Precision Manufacturing, School of Machinery and Automation, Wuhan University of Science and Technology, Wuhan 430081, China; Institute of Intelligent Machines, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Changzhou 213164, China.

ISA Transactions
|September 28, 2023
PubMed
Summary
This summary is machine-generated.

A new physics-informed Gaussian process model improves tool wear monitoring (TWM) in CNC machining. This approach combines physics and data for accurate predictions with limited data, enhancing quality and safety.

Keywords:
Extrapolation predictionGaussian processPhysical modelTool condition monitoring

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Area of Science:

  • Mechanical Engineering
  • Machine Learning
  • Manufacturing Technology

Background:

  • Tool wear monitoring (TWM) is crucial for CNC machining quality and safety.
  • Data-driven TWM requires extensive data and complex models.
  • Physics-based TWM models struggle with adaptability to varying conditions.

Purpose of the Study:

  • To develop a novel physics-informed Gaussian process model for accurate tool wear prediction.
  • To integrate the strengths of physics-based and data-driven TWM approaches.
  • To enable effective TWM with limited available sensor data.

Main Methods:

  • Developed a physics-informed Gaussian process regression (PB-GPR) model incorporating three physical tool wear models.
  • Constrained the Gaussian process mean function using wear models for improved physical relevance.
  • Utilized multi-sensor signals and multi-domain features for model training and updates.
  • Enabled small-data training and model adaptation with new measurements.

Main Results:

  • The PB-GPR model demonstrated significant improvements in tool wear prediction accuracy.
  • The proposed approach showed enhanced robustness in extrapolation compared to conventional methods.
  • Validation through high-speed milling experiments confirmed the model's effectiveness.

Conclusions:

  • The physics-informed Gaussian process model offers a superior approach to TWM in CNC machining.
  • This method effectively balances physical principles with data-driven learning for practical applications.
  • The PB-GPR model provides a robust and accurate solution for real-world tool wear prediction challenges.