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Related Concept Videos

Stresses under Combined Loadings01:23

Stresses under Combined Loadings

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When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
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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.
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Internal Loadings in Structural Members: Problem Solving01:28

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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.
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Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

192
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
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Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

219
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
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Strain Virtual Sensing for Structural Health Monitoring under Variable Loads.

Bartomeu Mora1,2, Jon Basurko1, Iman Sabahi3,4

  • 1Ikerlan Technology Research Centre, Basque Research and Technology Alliance (BRTA), 20500 Arrasate-Mondragon, Spain.

Sensors (Basel, Switzerland)
|July 11, 2023
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Summary

Virtual sensing accurately estimates strain at unmeasured points using real sensor data and a finite element (FE) model. Algorithms like the augmented Kalman filter and least-squares strain estimation are effective for structural health monitoring.

Keywords:
Kalman filteraugmented Kalman filterleast squares estimationstrain virtual sensorstructural health monitoringvirtual sensing

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Area of Science:

  • Structural Engineering
  • Computational Mechanics
  • Sensor Technology

Background:

  • Virtual sensing estimates data at unmeasured locations using system models and real sensor inputs.
  • Accurate strain estimation is crucial for structural health monitoring and performance evaluation.
  • Wind turbine structures are susceptible to various dynamic forces, necessitating robust monitoring techniques.

Purpose of the Study:

  • To evaluate the performance of different virtual sensing algorithms for strain estimation in a wind turbine prototype.
  • To identify optimal sensor configurations for accurate strain estimations under various loading conditions.
  • To compare stochastic (Kalman filter, augmented Kalman filter) and deterministic (least-squares) algorithms.

Main Methods:

  • Implementation of virtual sensing algorithms, including Kalman filter, augmented Kalman filter, and least-squares strain estimation.
  • Utilizing a wind turbine prototype subjected to controlled, multi-directional forces generated by an inertial shaker.
  • Testing various input sensor configurations and analyzing the accuracy of estimated strain data at unmeasured points.

Main Results:

  • Accurate strain estimations at unmeasured points are achievable even under unknown loading conditions.
  • The augmented Kalman filter and least-squares strain estimation, combined with modal truncation and expansion, demonstrate high efficiency.
  • Optimal sensor configurations significantly influence the accuracy of the virtual sensing results.

Conclusions:

  • Virtual sensing is a viable technique for structural health monitoring of complex structures like wind turbines.
  • The choice of algorithm and sensor configuration is critical for achieving reliable strain estimations.
  • FE models, when combined with appropriate virtual sensing algorithms, provide valuable insights into structural behavior.