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Related Concept Videos

Impact Loading on a Cantilever Beam01:13

Impact Loading on a Cantilever Beam

The analysis of a cantilever beam with a circular cross-section subjected to impact loading at its free end illustrates the conversion of potential energy from a dropped object into kinetic energy, which is then absorbed by the beam as strain energy. This process is crucial for understanding how materials behave under dynamic loads, which is important in fields such as construction and aerospace.
When an object is dropped onto the free end of a cantilever, its potential energy due to gravity is...
Impact Loading01:19

Impact Loading

Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

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 loadings...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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...
Resultant of a General Distributed Loading01:13

Resultant of a General Distributed Loading

While designing structures exposed to non-uniform loads, it is crucial to consider the resultant force and its location. This resultant force is a single vector representing the net force applied due to the distributed load.
Examples such as load distribution due to wind and load distribution on a bridge illustrate how this concept is used to analyze and design safe, reliable structures under variable loading conditions. Most structures, such as residential buildings, bridges, and towers, are...
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

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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Related Experiment Video

Updated: May 14, 2026

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
10:52

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Published on: April 13, 2016

An Impact Load History Reconstruction Method for Composite Structures Based on FBG Sensing Data and the GCV

Jie Zeng1, Jihong Xu1, Yuntao Xu1

  • 1College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

Sensors (Basel, Switzerland)
|May 13, 2026
PubMed
Summary

This study introduces a new method to reconstruct impact load history on composite aircraft structures using Generalized Cross-Validation (GCV) and Fiber Bragg Grating (FBG) patterns. The technique accurately captures impact details, even with low-rate sampling, aiding structural health monitoring.

Keywords:
composite structuresfiber Bragg gratinggeneralized cross-validationimpact load history reconstructionmodified Tikhonov regularization

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Last Updated: May 14, 2026

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Published on: June 30, 2023

Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Aerospace Engineering

Background:

  • Accurate load history acquisition is vital for composite aircraft structure damage identification and digital twin development.
  • Low sampling rates of quasi-distributed Fiber Bragg Gratings (FBG) can cause signal distortion in impact response.
  • Manual selection of regularization parameters limits noise suppression and reconstruction accuracy.

Purpose of the Study:

  • To develop a robust method for reconstructing impact load history on composite structures.
  • To mitigate signal distortion issues caused by low-rate FBG sampling.
  • To overcome limitations of manual parameter selection in impact load reconstruction.

Main Methods:

  • Utilized Generalized Cross-Validation (GCV) and Fiber Bragg Grating (FBG) patterns for impact load reconstruction.
  • Developed an equivalent expansion technique with discretized time-domain sparse strain sampling.
  • Applied Tikhonov regularization to manage the ill-posed nature of the impact frequency response matrix.
  • Implemented an adaptive optimization method based on the GCV criterion for parameter selection.

Main Results:

  • The proposed GCV-based reconstruction method achieved an average peak relative error of 11.4%.
  • An average root mean square error of 0.36 N was obtained for the reconstructed impact load.
  • The method effectively enhanced the reconstruction of the overall impact load waveform and transient details, even with low-rate sampling.

Conclusions:

  • The developed GCV-based method provides accurate impact load history reconstruction for composite structures.
  • This technique offers robust technical support for health monitoring and condition-based maintenance of aircraft structures.
  • The synergistic enhancement of waveform profile and transient detail characterization improves structural integrity assessment.