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Related Concept Videos

Three-Dimensional Force System01:30

Three-Dimensional Force System

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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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Consider an object upon which multiple forces are acting. If the lines of action of each force lie within the same plane, the system can be considered coplanar. The Cartesian vector form can be used to resolve each force into its respective components. For a coplanar system, the system will be in equilibrium if each component of the resultant force equals zero and the resultant force on the system is zero. If the sum of the forces is not equal to zero, then the object will not be in equilibrium...
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In most situations, forces can be grouped into two categories: contact forces and field forces.  Contact forces occur as a result of direct physical contact between objects. Field forces, however, act without the necessity of physical contact between objects. They depend on the presence of a "field" in the region of space surrounding the body under consideration. You can think of a field as a property of space that is detectable by the forces it exerts. Scientists think there...
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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.
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Deformation of Member under Multiple Loadings01:11

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When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
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Related Experiment Video

Updated: Sep 23, 2025

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
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Visualization of orthodontic forces generated by aligner-type appliances.

Yuri Shimada1, Yoshifumi Yoshida2, Ryosuke Isogai2

  • 1Department of Orthodontics, Graduate School of Dentistry, Showa University.

Dental Materials Journal
|May 11, 2022
PubMed
Summary

Orthodontic aligners can now have their forces estimated and visualized using near-infrared 2D birefringence. This technique correlates optical retardation with applied load, offering new insights into aligner mechanics.

Keywords:
AlignerNear infrared 2D birefringence measurement systemOrthodontic forcePhotoelasticityThermoplastics

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Area of Science:

  • Biomedical Engineering
  • Orthodontics
  • Optical Physics

Background:

  • Increasing demand for esthetic orthodontic treatments has led to wider adoption of aligner-type appliances.
  • The precise orthodontic forces generated by these aligners remain largely unquantified.
  • Accurate force measurement is crucial for optimizing treatment efficacy and patient outcomes.

Purpose of the Study:

  • To investigate the feasibility of estimating orthodontic forces in aligners using near-infrared 2D birefringence.
  • To visualize the distribution of orthodontic forces within aligner materials.
  • To establish a correlation between optical retardation and applied mechanical load.

Main Methods:

  • Measurement of mechanical and photoelastic properties of transparent orthodontic thermoplastic specimens.
  • Application of controlled loads to specimens to induce stress.
  • Correlation of measured optical retardation with applied load using near-infrared 2D birefringence.
  • Mapping and visualization of 2D retardation distribution under stress.

Main Results:

  • Confirmed equivalence between the measured mechanical properties and the photoelastic behavior of the thermoplastic materials.
  • Successfully mapped and visualized the 2D retardation distribution when stress was applied.
  • Demonstrated a quantifiable relationship between optical retardation and applied orthodontic force.

Conclusions:

  • Near-infrared 2D birefringence measurement is a viable method for estimating orthodontic forces in aligners.
  • The technique allows for the visualization of force distribution, aiding in the understanding of aligner mechanics.
  • This non-invasive optical method holds potential for quality control and treatment monitoring in orthodontic aligner therapy.