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Three-Dimensional Force System01:30

Three-Dimensional Force System

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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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Two-Dimensional Force System01:20

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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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Two-Dimensional Force System: Problem Solving01:29

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Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
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A Variable Stiffness System for Impact Analysis in Collaborative Robotics Applications with FPGA-Based Force and

Andrea D'Antona1, Saverio Farsoni1, Jacopo Rizzi1

  • 1Department of Engineering, University of Ferrara, 44121 Ferrara, Italy.

Sensors (Basel, Switzerland)
|July 12, 2025
PubMed
Summary

This study introduces a Variable Stiffness Impact Testing Device (VSITD) to ensure safety in human-robot collaboration. The device emulates human biomechanics for reliable testing of robotic systems in shared workspaces.

Keywords:
FPGAforce sensorimpactinteractionroboticssafetystiffness

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Area of Science:

  • Robotics
  • Human-Robot Interaction
  • Biomechanics

Background:

  • Collaborative robots require advanced safety systems for physical human interaction.
  • Existing testing methods may not fully capture the complexities of human-robot physical contact.

Purpose of the Study:

  • To develop and present a Variable Stiffness Impact Testing Device (VSITD).
  • To emulate human biomechanical properties like elasticity and compliance for realistic impact simulation.
  • To validate robotic systems against the ISO/TS 15066 safety standard.

Main Methods:

  • Integration of a Variable Stiffness Mechanism (VSM) with a multi-sensor system.
  • Utilizing Force Sensitive Resistors (FSR) matrix, piezoelectric load cells, and an FPGA-based acquisition unit.
  • Rapid reconfiguration of VSM stiffness to simulate diverse impact scenarios.

Main Results:

  • The VSITD enables fast acquisition of contact forces and pressures.
  • The system successfully emulates a wide range of impact scenarios by adjusting stiffness.
  • The device provides a modular and flexible platform for testing various collaborative robots.

Conclusions:

  • The VSITD offers a reliable method for pre-deployment validation of collaborative robotic platforms.
  • It establishes a new benchmark for safety testing in human-robot collaboration.
  • The device enhances safety and performance assurance in shared robotic workspaces.