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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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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
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Transformation of Plane Strain01:12

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When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
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Plastic Deformation in Circular Shafts01:20

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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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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Real-Time Plane Detection with Consistency from Point Cloud Sequences.

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Tunnel Deformation Inspection via Global Spatial Axis Extraction from 3D Raw Point Cloud.

Cheng Yi1, Dening Lu1, Qian Xie1

  • 1College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China.

Sensors (Basel, Switzerland)
|December 2, 2020
PubMed
Summary

Accurate tunnel deformation inspection is achieved by extracting the spatial axis from raw LiDAR point clouds. This method iteratively fits cross-sections to refine the axis, enabling precise structural stability assessments.

Keywords:
LiDAR sensorcentral axis extractioncross sectionraw LiDAR datatunnel deformation

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Area of Science:

  • Geotechnical Engineering
  • Civil Engineering
  • Geomatics Engineering

Background:

  • Global inspection of large-scale tunnels is crucial for structural stability and driving safety.
  • LiDAR scanners provide 3D point clouds for tunnel deformation inspection (TDI).
  • Raw LiDAR data often suffers from occlusions, missing data, and noise, hindering accurate analysis.

Purpose of the Study:

  • To develop an effective algorithm for tunnel deformation inspection using poor-quality 3D point clouds.
  • To accurately extract the global spatial axis of a tunnel from noisy LiDAR data.
  • To enable automated computation of tunnel deformation parameters.

Main Methods:

  • Proposed an iterative fitting optimization algorithm to extract the tunnel's spatial axis.
  • Generated normal planes in the Frenet frame to create cross-sections from the point cloud.
  • Fitted circles to cross-sections and approximated centers with a B-Spline curve iteratively until convergence.
  • Designed a segmentation approach for cross-sections to compute deformation parameters.

Main Results:

  • Successfully extracted the accurate spatial axis of tunnels even from poor-quality point clouds.
  • Demonstrated the feasibility and effectiveness of the proposed tunnel deformation inspection method through experiments.
  • Enabled automated computation of various tunnel deformation inspection parameters.

Conclusions:

  • The developed algorithm effectively extracts the spatial axis from noisy tunnel point clouds.
  • The method provides a robust solution for tunnel deformation inspection, enhancing structural safety.
  • This approach facilitates automated and accurate assessment of tunnel integrity.