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Related Concept Videos

Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical bending,...

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Related Experiment Video

Updated: Jun 22, 2026

Measuring Maxillary Posterior Tooth Movement: A Model Assessment using Palatal and Dental Superimposition
07:32

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Published on: February 23, 2024

A novel statistical model for mandibular helical axis analysis.

K Hayashi1, B Reich, R DeLong

  • 1Department of Orthodontics and Dentofacial Orthopedics, School of Dentistry, Health Sciences University of Hokkaido, Ishikari-Tobetsu, Hokkaido, Japan. kazu@hoku-iryo-u.ac.jp

Journal of Oral Rehabilitation
|June 16, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a novel statistical method to analyze jaw movements in children with anterior cross-bite, revealing significant differences in mandibular motion during the closing phase after orthodontic treatment.

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Area of Science:

  • Biomechanics
  • Orthodontics
  • Statistical Modeling

Background:

  • Analyzing jaw movement is crucial for understanding orthodontic treatment outcomes.
  • Mandibular helical axis (FHA) parameters provide detailed insights into jaw kinematics.
  • Noisy data in FHA analysis presents a significant challenge.

Purpose of the Study:

  • To develop and validate a new statistical method for analyzing noisy mandibular FHA parameters.
  • To compare jaw movements in children with anterior cross-bite before and after orthodontic treatment.
  • To establish population average curves for FHA position vectors.

Main Methods:

  • Utilized an opto-electronic motion analysis system to measure maximum mouth-opening.
  • Modeled FHA position vector curves using spline functions with random coefficients.
  • Extended Self-Modelling Regression (SEMOR) to three dimensions for analyzing groups of 3D curves.
  • Determined optimal knot numbers using Deviance Information Criteria (DIC) and Mean Squared Prediction Error (MSE).

Main Results:

  • Population average curves for the FHA position vector were successfully created using SEMOR.
  • Significant differences were observed between the population mean curves of FHA position vectors in the closing phase for cross-bite vs. normal occlusion.
  • The developed statistical method effectively analyzed noisy FHA data.

Conclusions:

  • The combination of spline functions with random coefficients and 3D SEMOR provides a robust method for FHA analysis.
  • This approach offers detailed insights into jaw movement differences between cross-bite and normal occlusion.
  • The methodology is applicable to analyzing other types of jaw movements.