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

Impact Loading on a Cantilever Beam01:13

Impact Loading on a Cantilever Beam

942
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...
942
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

465
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...
465
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

818
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...
818
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

725
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
725
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

545
The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
545
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

500
In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the...
500

You might also read

Related Articles

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

Sort by
Same author

Nondestructive Analysis of Debonds in a Composite Structure under Variable Temperature Conditions.

Sensors (Basel, Switzerland)·2019
Same journal

RETRACTED: Zhang et al. A Novel Framework for Reconstruction and Imaging of Target Scattering Centers via Wide-Angle Incidence in Radar Networks. <i>Sensors</i> 2025, <i>25</i>, 6802.

Sensors (Basel, Switzerland)·2026
Same journal

Enhancing Unsupervised Multi-Source Domain Adaptation for Person Re-Identification via Mixture of Experts and Graph-Based Relation.

Sensors (Basel, Switzerland)·2026
Same journal

Development of an Instrumented Glove for Palmar Pressure Assessment in Kayakers.

Sensors (Basel, Switzerland)·2026
Same journal

Development and Experimental Validation of an Autonomous IoT-Based Monitoring System for Real-Time Water Quality Assessment in the Amazon River.

Sensors (Basel, Switzerland)·2026
Same journal

Semi-Supervised Adversarial Learning Framework for Controller Area Network Bus Intrusion Detection.

Sensors (Basel, Switzerland)·2026
Same journal

Smart Optimization Method for Safety Signs in Innovative Manufacturing Environments Integrating Industrial Field IoT Sensors and Knowledge Graphs.

Sensors (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Feb 28, 2026

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates
07:53

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates

Published on: April 27, 2019

8.8K

Material Degradation Inverse Identification for Cantilever Beams Using Experimental Frequency Response Function.

Qi Chen1, Carol Featherston1, David Kennedy1

  • 1School of Engineering, Cardiff University, Cardiff CF24 3AA, UK.

Sensors (Basel, Switzerland)
|February 27, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a novel stochastic framework to identify structural material degradation (SMD) in beams using Karhunen-Loéve expansion and Bayesian inference. The method accurately locates and quantifies material decay, ensuring physical plausibility and algorithmic stability.

Keywords:
Bayesian inferenceHamiltonian Monte CarloKarhunen-Loève expansionexperimental FRFphysical constraint enforcementstiffness regularizationstructural damage identificationtwo-phase regularization

More Related Videos

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K
Investigating Receptor-ligand Systems of the Cellulosome with AFM-based Single-molecule Force Spectroscopy
11:34

Investigating Receptor-ligand Systems of the Cellulosome with AFM-based Single-molecule Force Spectroscopy

Published on: December 20, 2013

7.8K

Related Experiment Videos

Last Updated: Feb 28, 2026

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates
07:53

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates

Published on: April 27, 2019

8.8K
Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.7K
Investigating Receptor-ligand Systems of the Cellulosome with AFM-based Single-molecule Force Spectroscopy
11:34

Investigating Receptor-ligand Systems of the Cellulosome with AFM-based Single-molecule Force Spectroscopy

Published on: December 20, 2013

7.8K

Area of Science:

  • Structural Health Monitoring
  • Computational Mechanics
  • Materials Science

Background:

  • Structural material degradation (SMD) poses risks to infrastructure integrity.
  • Accurate identification of SMD is crucial for safety and maintenance.
  • Existing methods often struggle with high dimensionality and physical plausibility.

Purpose of the Study:

  • To develop a stochastic framework for inverse identification of SMD in cantilever beams.
  • To combine Karhunen-Loéve expansion with Bayesian inference for probabilistic SMD description.
  • To implement a two-phase constraint strategy for enhanced stability and physical realism.

Main Methods:

  • Utilized Karhunen-Loéve (KL) expansion for low-dimensional spectral parameterization of material decay.
  • Integrated KL expansion with experimental Frequency Response Function (FRF) data within a Bayesian inference scheme.
  • Employed a two-phase constraint strategy: physical regularization during identification and selective post-convergence regularization.

Main Results:

  • Successfully localized and quantified SMD in a steel cantilever beam with a cut.
  • Demonstrated the framework's ability to provide a full-field probabilistic description of SMD.
  • Validated the adaptive constraint strategy's effectiveness in balancing stability and physical plausibility.

Conclusions:

  • The proposed stochastic framework accurately identifies structural material degradation.
  • The two-phase constraint strategy effectively addresses challenges in inverse identification.
  • The method offers a robust approach for probabilistic assessment of material decay in structures.