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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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Related Experiment Video

Updated: Mar 24, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Dynamic Physical Constraints: Emulating Hard Surfaces with High Realism.

N Hungr, B Roger, A J Hodgson

    IEEE Transactions on Haptics
    |March 11, 2016
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    Summary
    This summary is machine-generated.

    This study introduces a novel Dynamic Physical Constraint (DPC) haptic technique to realistically simulate hard surfaces, crucial for orthopedic surgery. The DPC method effectively prevents surgical tool incursions beyond virtual boundaries during bone cutting procedures.

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    Area of Science:

    • Robotics and Haptics
    • Surgical Simulation
    • Orthopedic Surgery Technology

    Background:

    • Haptic feedback is crucial for realistic surgical simulations.
    • Current techniques struggle to accurately emulate hard surfaces, posing risks in procedures like joint replacement.
    • Precise control is needed to prevent tool incursions during bone cutting.

    Purpose of the Study:

    • To present a novel haptic technique for high-realism emulation of hard surfaces.
    • To demonstrate the utility of this technique in orthopedic surgery, specifically joint replacement.
    • To develop and test a prototype device for virtual constraint application.

    Main Methods:

    • The Dynamic Physical Constraint (DPC) concept was developed, utilizing a unidirectional physical constraint.
    • The DPC actively positions constraints to limit movement between manipulator links.
    • The technique was applied to 2D and 3D workspaces, with simulations and prototype testing.

    Main Results:

    • Simulation results showed the potential feasibility of the DPC concept.
    • A prototype device provided a convincing sensation of a hard virtual surface.
    • The prototype achieved submillimetric incursion accuracy, meeting orthopedic surgery requirements.

    Conclusions:

    • The novel Dynamic Physical Constraint (DPC) technique effectively emulates hard virtual surfaces with high realism.
    • The DPC technology shows significant potential for enhancing orthopedic surgery, particularly in bone cutting during joint replacement.
    • The developed prototype demonstrates the feasibility and accuracy required for such critical surgical applications.