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Related Concept Videos

Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

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Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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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.
Here, in order to determine the magnitude of velocity and acceleration for point...
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Load along a Single Axis01:29

Load along a Single Axis

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In structural engineering, the analysis of beams subjected to varying loads is a critical aspect of understanding the behavior and performance of these structural elements. A common scenario involves a beam subjected to a combination of different load distributions.
Consider a beam of length L subjected to a varying load, which is a combination of parabolic and trapezoidal load distribution along the x-axis. In this case, it is essential to determine the resultant loads, their locations, and...
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Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
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Distributed Loads01:19

Distributed Loads

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Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
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Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

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When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.
To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal...
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Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb
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Trajectory Identification for Moving Loads by Multicriterial Optimization.

Michał Gawlicki1, Łukasz Jankowski1

  • 1Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland.

Sensors (Basel, Switzerland)
|January 20, 2021
PubMed
Summary

This study introduces a novel method for tracking moving loads on structures using their mechanical responses. The approach balances structural data with trajectory geometry for accurate 2D path identification.

Keywords:
geometric regularityinverse problemsload identificationmoving loadmulticriterial optimizationstructural health monitoring (SHM)structural mechanicstrajectory identification

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Area of Science:

  • Civil Engineering
  • Structural Health Monitoring
  • Computational Mechanics

Background:

  • Moving loads are critical for civil engineering structures and machinery.
  • Indirect load identification relies on the "structure as a sensor" principle.
  • Directly fitting structural responses to load trajectories can yield erratic results due to errors.

Purpose of the Study:

  • To develop and experimentally validate an approach for indirect identification of 2D moving load trajectories.
  • To address the issue of erratic solutions in direct fitting by incorporating geometric regularization.
  • To propose a multicriteria optimization framework balancing mechanical fit and geometric regularity.

Main Methods:

  • Utilizing the "structure as a sensor" paradigm for indirect identification.
  • Implementing a multicriteria optimization framework with mechanical and geometric criteria.
  • Employing the NSGA-II multiobjective genetic algorithm to find the Pareto front.
  • Experimental verification using a plate with strain gauges and a line-follower robot.

Main Results:

  • The proposed method successfully identifies 2D moving load trajectories indirectly.
  • The multicriteria optimization framework effectively balances mechanical response fit and geometric regularity.
  • Experimental results confirm the approach's ability to achieve physically meaningful solutions.
  • The Pareto front provides a set of optimal solutions trading off between fit and regularity.

Conclusions:

  • The developed approach offers a robust method for indirect moving load trajectory identification.
  • Integrating geometric constraints significantly improves the reliability of load identification.
  • The study demonstrates the practical applicability of the "structure as a sensor" concept with advanced optimization.