Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

155
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...
155
Load along a Single Axis01:29

Load along a Single Axis

358
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...
358
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

231
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...
231
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

265
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
265
Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

1.4K
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...
1.4K
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

408
Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
408

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Evaluation of HIV-1 transmitted drug-resistance among subtypes circulating from 2022 to 2024 in Italy: a refined analysis through next-generation sequencing.

The Journal of antimicrobial chemotherapy·2026
Same author

Conversion coefficients for effective dose calculated using anthropomorphic mesh reference phantoms with the FLUKA code.

Journal of radiological protection : official journal of the Society for Radiological Protection·2026
Same author

Genetic variability of respiratory syncytial virus and its impact on monoclonal antibody binding sites: a national cross-sectional study during the 2023-2024 season.

International immunopharmacology·2025
Same author

On the Effect of Intra- and Inter-Node Sampling Variability on Operational Modal Parameters in a Digital MEMS-Based Accelerometer Sensor Network for SHM: A Preliminary Numerical Investigation.

Sensors (Basel, Switzerland)·2025
Same author

Multicenter Cross-sectional Study on the Epidemiology of Human Metapneumovirus in Italy, 2022-2024, With a Focus on Adults Over 50 Years of Age.

The Journal of infectious diseases·2025
Same author

AI-Enhanced IoT System for Assessing Bridge Deflection in Drive-By Conditions.

Sensors (Basel, Switzerland)·2025

Related Experiment Video

Updated: Aug 22, 2025

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology
11:11

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Published on: June 10, 2014

11.6K

A Damage Detection Approach for Axially Loaded Beam-like Structures Based on Gaussian Mixture Model.

Francescantonio Lucà1, Stefano Manzoni1, Francesco Cerutti1

  • 1Department of Mechanical Engineering, Politecnico di Milano, Via La Masa, 1-20156 Milan, Italy.

Sensors (Basel, Switzerland)
|November 11, 2022
PubMed
Summary

This study introduces a new unsupervised learning method for detecting damage in structures using vibration data. The Gaussian mixture model approach improves early damage detection sensitivity and reduces uncertainty compared to the Mahalanobis squared distance method.

Keywords:
beam-like structuresgaussian mixture modelmahalanobis squared distancereal damagestructural health monitoringtie-rodsunsupervised data clusteringunsupervised learning

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.9K
In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
06:49

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

6.3K

Related Experiment Videos

Last Updated: Aug 22, 2025

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology
11:11

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Published on: June 10, 2014

11.6K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.9K
In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
06:49

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

6.3K

Area of Science:

  • Structural Health Monitoring
  • Unsupervised Machine Learning
  • Vibration Analysis

Background:

  • Axially loaded beam-like structures pose challenges for vibration-based damage detection due to environmental and operational variations.
  • Previous work utilized multivariate damage features and Mahalanobis squared distance (MSD) for unsupervised outlier detection.

Purpose of the Study:

  • To develop a novel unsupervised learning approach for enhanced damage detection in axially loaded structures.
  • To improve sensitivity to early-stage damage and reduce uncertainty in vibration-based structural health monitoring.

Main Methods:

  • Implementation of a Gaussian mixture model (GMM) for data clustering.
  • Comparison of the GMM approach with the benchmark Mahalanobis squared distance (MSD) method.
  • Testing under uncontrolled environmental conditions and real corrosion-induced damage.

Main Results:

  • The Gaussian mixture model approach demonstrated increased sensitivity to structural damage.
  • The GMM method significantly reduced uncertainty, enabling earlier damage detection.
  • The novel approach proved effective even with environmental variations and real-world damage.

Conclusions:

  • Unsupervised learning data clustering, specifically using Gaussian mixture models, offers a more sensitive and reliable method for vibration-based damage detection in challenging structural scenarios.
  • This approach enhances early-stage damage identification and reduces diagnostic uncertainty, outperforming traditional MSD methods.