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Principle of Virtual Work: Problem Solving01:13

Principle of Virtual Work: Problem Solving

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The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
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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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The principle of virtual work states that if a body is in static and dynamic equilibrium, then the sum of all the virtual work done by all external forces and couple moments for any given virtual displacement must be zero.
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The mechanical efficiency of a machine is a fundamental concept that describes how effectively a machine can convert input work into output work. According to this concept, the efficiency of a machine is equal to the ratio of the output work to the input work. An ideal machine, meaning a machine that has no energy losses, has an efficiency of one. This implies that the input work and the output work are equal.
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Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
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Electromechanical systems are intricate configurations that effectively combine electrical and mechanical elements to achieve a desired outcome. Central to many of these systems is the DC motor, a device that converts electrical energy into mechanical motion, enabling various applications ranging from simple fans to complex robotic mechanisms.
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Updated: Nov 19, 2025

A Virtual Simulation Experiment of Mechanics: Material Deformation and Failure Based on Scanning Electron Microscopy
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Corrigendum: A Comparison Between Two Different Approaches for a Collaborative Mixed-Virtual Environment in

Francesco De Pace1, Federico Manuri1, Andrea Sanna1

  • 1Dipartimento di Automatica e Informatica, Politecnico di Torino, Turin, Italy.

Frontiers in Robotics and AI
|January 27, 2021
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Summary

This study corrects a previous article DOI. The corrected DOI is 10.3389/frobt.2019.00018.

Keywords:
augmented realitycollaborative environmentindustry 4.0interfacesmixed-realityshared-realityvirtual reality

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Area of Science:

  • Robotics and Artificial Intelligence
  • Biomedical Engineering

Context:

  • Correction of a previously published article.
  • Ensuring accurate citation and referencing in scientific literature.

Purpose:

  • To provide the correct Digital Object Identifier (DOI) for the article.
  • To rectify a bibliographic error and maintain the integrity of scientific records.

Summary:

  • The article DOI has been updated to 10.3389/frobt.2019.00018.
  • This correction ensures proper attribution and access to the research content.

Impact:

  • Facilitates accurate retrieval of the research paper.
  • Maintains the reliability of scientific databases and citation indexes.