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Related Concept Videos

Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

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One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
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Transmission Shafts: Problem Solving01:09

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Designing a solid shaft that transmits power from a motor to a machine tool involves a series of calculations to ensure the shaft can withstand the stresses applied by bending moments and torques. First, calculate the torque exerted on the gear, considering the power transmitted by the shaft and its rotational speed. Following this, compute the tangential forces acting on the gears, which directly relate to the torque and the gear radius.
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Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

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When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Stress Concentrations in Circular Shafts01:18

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Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
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Design Example: Deciding Thickness of Lubricating Fluid in a Shaft01:23

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Effective lubrication between a rotating shaft and its bearing housing is essential in rotating machinery to minimize friction, wear, and energy loss. With carefully controlled thickness and viscosity, the lubricant layer prevents metal-to-metal contact, ensuring smooth operation.
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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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Surrogate Model Development for Digital Experiments in Welding
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Study on a Process Parameter-Driven Deep Learning Prediction Model for Multi-Physical Fields in Flange Shaft Welding.

Chaolong Yang1, Zhiqiang Xu2, Feiting Shi3,4

  • 1College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China.

Materials (Basel, Switzerland)
|March 14, 2026
PubMed
Summary
This summary is machine-generated.

This study developed machine learning models for predicting welding quality in large flange shafts. The Multi-layer Perceptron (MLP) model achieved high accuracy in predicting temperature, deformation, and residual stress, outperforming traditional methods.

Keywords:
MLP deep learning modeldeformationlarge flange shaftresidual stresstemperaturewelding process parameter

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Area of Science:

  • Materials Science and Engineering
  • Computational Mechanics
  • Artificial Intelligence

Background:

  • Large flange shafts are critical components in high-end equipment, with welding quality directly impacting performance and safety.
  • Traditional experimental and finite element methods for predicting welding multi-physical fields are time-consuming and inefficient.

Purpose of the Study:

  • To develop fast and accurate prediction models for welding temperature, deformation, and residual stress in large flange shafts.
  • To combine thermal-mechanical coupled finite element simulation with machine learning for enhanced prediction capabilities.

Main Methods:

  • A dataset of 100 process parameter groups was generated using finite element simulations.
  • Machine learning models including MLP, RF, RBF-SVR, TabNet, XGBoost, and FT-Transformer were constructed and compared.
  • Strategies like early stopping and dropout were employed to mitigate overfitting, with 10-fold cross-validation used for verification.

Main Results:

  • The MLP model demonstrated superior performance, accurately predicting peak temperature (error < 5%), deformation, and residual stress (error < 10%).
  • The MLP model showed good agreement with simulation values, with average peak residual stress error around 6 MPa.
  • The Random Forest (RF) model ranked second, offering good interpretability and engineering applicability.

Conclusions:

  • The developed MLP model effectively reproduces welding multi-physical fields, enabling rapid prediction and optimization for large flange shaft welding.
  • The study highlights the potential of machine learning to overcome limitations of traditional methods in predicting welding quality.
  • Future work can enhance model generalization by expanding the dataset and incorporating experimental validation.