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Related Concept Videos

Mesh Analysis01:20

Mesh Analysis

957
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
957
Virtual Work for a System of Connected Rigid Bodies01:06

Virtual Work for a System of Connected Rigid Bodies

481
Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
481
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

137
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
137
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

225
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.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
225
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

1.5K
Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
1.5K
Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

177
The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
Next, calculate the moments of...
177

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Updated: Sep 23, 2025

Digital Hybrid Model Preparation for Virtual Planning of Reconstructive Dentoalveolar Surgical Procedures
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A novel virtual cutting method for deformable objects using high-order elements combined with mesh optimisation.

Monan Wang1, Yuzheng Ma1, Fengjie Liu1

  • 1School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin, China.

The International Journal of Medical Robotics + Computer Assisted Surgery : MRCAS
|May 17, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a new virtual cutting algorithm for deformable objects, enhancing realism in digital medicine applications like surgical training. The method ensures real-time simulation by optimizing mesh quality and size.

Keywords:
deformable objectshigh-order elementmesh optimisationvirtual cutting

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Area of Science:

  • Computer Graphics
  • Medical Simulation

Background:

  • Virtual cutting of deformable objects is crucial for digital medicine, particularly in virtual surgery training systems for soft tissue manipulation.
  • Accurate and responsive simulations are essential for effective training and procedural planning.

Purpose of the Study:

  • To develop and validate a novel virtual cutting algorithm for deformable objects.
  • To improve the realism and efficiency of virtual surgery training systems through enhanced mesh processing and feedback mechanisms.

Main Methods:

  • A new local mesh processing method was developed to control element number and quality during cutting.
  • High-order tetrahedral elements were employed to accurately represent cutting surfaces and minimize mesh size.
  • The algorithm was integrated with a force feedback device for enhanced haptic realism.

Main Results:

  • The virtual cutting algorithm successfully performed single, multiple, and intersecting cuts on mesh models.
  • Visual feedback rates exceeded 30 Hz, while tactile feedback ranged from 800 to 1000 Hz, ensuring a responsive user experience.
  • The method effectively eliminated low-quality mesh elements and controlled overall mesh size.

Conclusions:

  • The proposed virtual cutting algorithm effectively manages mesh quality and size, crucial for real-time simulations.
  • This approach significantly enhances the fidelity and responsiveness of virtual surgery training environments.
  • The findings contribute to the advancement of digital medicine by providing a more robust tool for surgical simulation.