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Planar Rigid-Body Motion01:22

Planar Rigid-Body Motion

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Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...
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Virtual Work for a System of Connected Rigid Bodies01:06

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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.
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Rigid Body Equilibrium Problems - II01:21

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A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
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Temperature Dependent Deformation01:12

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Rigid Body Equilibrium Problems - I00:49

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A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body equilibrium problems, do the following steps.
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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: Aug 25, 2025

Quantitative Analysis of Viscoelastic Properties of Red Blood Cells Using Optical Tweezers and Defocusing Microscopy
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Physics-Based Simulation of Soft-Body Deformation Using RGB-D Data.

Daeun Kang1, Jaeseok Moon1, Saeyoung Yang1

  • 1Department of Computer Science, Hanyang University, Seoul 04763, Korea.

Sensors (Basel, Switzerland)
|October 14, 2022
PubMed
Summary
This summary is machine-generated.

This study presents a new method for real-time soft-body deformation simulation using RGB-D sensors. The approach enhances virtual training by accurately modeling object interactions and topological changes.

Keywords:
RGB-D dataobject trackingphysics-based simulationsoft-body deformationtopological editing

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Area of Science:

  • Computer Graphics
  • Virtual Reality
  • Robotics

Background:

  • Real-time interaction in immersive virtual environments is crucial for training.
  • Physics-based soft-body simulations are complex due to material property coefficient adjustments.

Purpose of the Study:

  • To introduce a novel, efficient approach for simulating soft-body deformation in real-time.
  • To enable more realistic interactions in virtual training applications.

Main Methods:

  • Utilizes an off-the-shelf RGB-D sensor for object tracking and iterative deformation simulation.
  • Employs multi-resolution polygonal models (low-resolution for surface deformation, volumetric for internal forces).
  • Applies mean value coordinate interpolation for mapping low-resolution to high-resolution models and detects topological changes like cutting.

Main Results:

  • The proposed method achieves convincing soft-body deformations in real-time.
  • Demonstrates effective handling of surface and topological deformations (cutting, tearing).
  • Improves simulation speed and visual quality through multi-resolution modeling.

Conclusions:

  • The novel approach offers an efficient and effective solution for real-time soft-body deformation.
  • Enhances the realism and interactivity of virtual training environments.
  • Reduces complexity compared to traditional physics-based methods.