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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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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 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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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
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Development of a Hybrid Path Planning Algorithm and a Bio-Inspired Control for an Omni-Wheel Mobile Robot.

Sensors (Basel, Switzerland)ยท2020
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Related Experiment Video

Updated: Dec 21, 2025

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
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A Fuzzy Analytic Hierarchy Process and Cooperative Game Theory Combined Multiple Mobile Robot Navigation Algorithm.

Changwon Kim1, Jong-Seob Won2

  • 1Daegu Research Center for Medical Devices and Rehabilitation, Korea Institute of Machinery and Materials, Daegu 42994, Korea.

Sensors (Basel, Switzerland)
|May 21, 2020
PubMed
Summary

This study introduces a multi-robot navigation strategy using Fuzzy Analytic Hierarchy Process (FAHP) and cooperative game theory. The approach optimizes robot path planning for efficient and safe navigation in dynamic environments.

Keywords:
fuzzy-based AHP (FAHP)mobile robotmulti-objective decision makingpath planning

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Area of Science:

  • Robotics
  • Artificial Intelligence
  • Operations Research

Background:

  • Multi-robot systems require sophisticated navigation strategies.
  • Existing algorithms often struggle with complex decision-making in dynamic environments.
  • Optimizing path planning involves balancing multiple objectives like distance, safety, and orientation.

Purpose of the Study:

  • To develop and evaluate an enhanced multi-robot navigation strategy.
  • To integrate Fuzzy Analytic Hierarchy Process (FAHP) with cooperative game theory for improved decision-making.
  • To address challenges in path selection for mobile robots in shared spaces.

Main Methods:

  • Utilized the Fuzzy Analytic Hierarchy Process (FAHP) for multi-objective decision-making.
  • Incorporated cooperative game theory to enhance FAHP for multi-robot coordination.
  • Simulated navigation scenarios with up to 12 mobile robots in varied warehouse layouts.
  • Evaluated robot performance based on travel distance, collision avoidance, and target orientation.

Main Results:

  • The proposed strategy effectively selects optimal sub-goals for individual robots.
  • Integration with cooperative game theory improved the FAHP algorithm's suitability for multi-robot navigation.
  • Simulations demonstrated successful navigation and coordination under different operational conditions.
  • The system showed adaptability to varying numbers of robots and warehouse complexities.

Conclusions:

  • The combined FAHP and cooperative game theory approach provides a robust multi-robot navigation solution.
  • This strategy enhances efficiency and safety in complex robotic operations.
  • The findings support the application of advanced decision-making algorithms in autonomous systems.