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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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Updated: Jul 9, 2026

Technical Approach for Infrared Tracking for Soft Tissue Navigation with a Holographic Head-Mounted Display and Preclinical Validation
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Real-Time Soft Tissue Deformation Framework for Haptic-Enabled Robotic Surgical Training in Virtual Reality.

Dhanya Menoth Mohan1, Bijan Shirinzadeh2, Yongmin Zhong3

  • 1Robotics and Mechatronics Research Laboratory, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, Melbourne, Victoria, 3800, Australia. dhanya.menothmohan@monash.edu.

Annals of Biomedical Engineering
|July 8, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new mass-spring-damper model for realistic soft tissue deformation in virtual reality surgical training. The framework achieves real-time performance on complex models, enhancing training simulations.

Keywords:
Deformation modelingHeart surgeryMass-spring-damper modelRobotic surgery trainingSurgery trainingTissue deformation

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Area of Science:

  • Robotics
  • Computer Simulation
  • Medical Training

Background:

  • Virtual reality (VR) offers advantages for robotic surgery training, including enhanced safety and reduced costs.
  • Realistic visual feedback in VR requires accurate soft tissue deformation models.
  • Current models often struggle with balancing realism and real-time performance for complex simulations.

Purpose of the Study:

  • To develop a modified mass-spring-damper framework for stable, realistic soft tissue deformation.
  • To ensure real-time performance even with high-density mesh models in VR surgical training.
  • To enhance the visual realism and user immersiveness of virtual reality-based robotic surgery training platforms.

Main Methods:

  • A modified mass-spring-damper framework was developed, extending the conventional model with deformation and restoring spring-damper elements.
  • Model parameters were optimized using analytical derivation and empirical tuning.
  • Numerical simulations assessed restoring capability, numerical stability, and real-time performance.

Main Results:

  • The model demonstrated physiologically realistic deformation and shape recovery after force removal.
  • Real-time performance was achieved on high-density models (approx. 29,754 vertices) at 171.11 frames per second.
  • The deformation solver maintained a high update frequency (2828.14 Hz) with a mean step time of 0.354 ms.

Conclusions:

  • The proposed framework provides real-time performance on complex models, suitable for VR surgical training.
  • The computational efficiency and visual realism meet the demands of haptic-enabled robotic surgical environments.
  • This advancement contributes to more effective and immersive surgical training simulations.