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

123
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...
123
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

195
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...
195
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

243
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
243
Deflection of a Beam01:19

Deflection of a Beam

270
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
270
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

94
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
94
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

200
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...
200

You might also read

Related Articles

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

Sort by
Same author

Error analysis of Cm measurement under the whole-cell patch-clamp recording.

Journal of neuroscience methods·2009
Same author

Understanding the self-assembly of charged nanoparticles at the water/oil interface.

Physical chemistry chemical physics : PCCP·2009
Same author

[Development of new SSR markers from EST of SSH cDNA libraries on rose fragrance].

Yi chuan = Hereditas·2009
Same author

Crocin and geniposide profiles and radical scavenging activity of gardenia fruits (Gardenia jasminoides Ellis) from different cultivars and at the various stages of maturation.

Fitoterapia·2009
Same author

Small-molecule screening using a human primary cell model of HIV latency identifies compounds that reverse latency without cellular activation.

The Journal of clinical investigation·2009
Same author

Berberine lowers blood glucose in type 2 diabetes mellitus patients through increasing insulin receptor expression.

Metabolism: clinical and experimental·2009
Same journal

Analysis of strength degradation of coal and rock masses and stability of mined areas under long term immersion environment.

PloS one·2026
Same journal

Biogenic Silver-Selenium nanocomposite with anticancer activity and potent efficacy against vancomycin-resistant Staphylococcus aureus.

PloS one·2026
Same journal

Preparation and physicochemical characterization of a biodegradable chitosan/carboxymethyl cellulose hydrogel synthesized in NaOH/urea medium.

PloS one·2026
Same journal

Action-guilt, survivor-guilt, and depression in combat-related PTSD.

PloS one·2026
Same journal

Explainable machine learning for predicting activities of daily living at discharge in stroke patients: A retrospective study using SHAP interpretability.

PloS one·2026
Same journal

Deep learning based two-way feature depiction model for brain tumor detection.

PloS one·2026
See all related articles

Related Experiment Video

Updated: Jul 12, 2025

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface
06:14

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface

Published on: July 30, 2020

4.9K

Virtual covariance matrix reconstruction-based adaptive beamforming for small aperture array.

Lin Chang1, Hao Zhang1, Hua Yang1

  • 1Faculty of Information Science and Engineering, Ocean University of China, Qingdao, China.

Plos One
|October 19, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces two novel beamforming methods to enhance performance in small aperture sensor arrays. These techniques improve signal processing by reconstructing covariance matrices and utilizing virtual extended arrays.

More Related Videos

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
05:04

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays

Published on: June 13, 2023

1.6K
Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

9.5K

Related Experiment Videos

Last Updated: Jul 12, 2025

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface
06:14

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface

Published on: July 30, 2020

4.9K
Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays
05:04

Author Spotlight: Introduction to Active Probe Atomic Force Microscopy with Quattro-Parallel Cantilever Arrays

Published on: June 13, 2023

1.6K
Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

9.5K

Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Adaptive Beamforming

Background:

  • Robust adaptive beamforming (RAB) algorithms aim to mitigate performance degradation due to model mismatches.
  • Larger apertures in uniform linear arrays generally yield higher array gain, but space limitations often necessitate small aperture arrays, reducing beamforming performance.

Purpose of the Study:

  • To propose two novel beamforming methods specifically designed to enhance output performance in small aperture sensor arrays.
  • To address the limitations imposed by restricted installation space on array beamforming capabilities.

Main Methods:

  • Method 1: Integrates angular sector and gradient vector search for interference covariance matrix (ICM) reconstruction, followed by interference-plus-noise covariance matrix (INCM) reconstruction. Optimizes the desired signal steering vector (SV) using quadratically constrained quadratic programming (QCQP).
  • Method 2: Employs a virtual extended array approach. Designs a virtual conjugated array element, obtains virtual received data via linear prediction, reconstructs an extended INCM, and optimizes the SV.

Main Results:

  • Simulation results validate the effectiveness of both proposed beamforming methods.
  • The methods demonstrate improved beamforming output in small aperture sensor arrays under various conditions.

Conclusions:

  • The developed beamforming techniques successfully overcome the performance limitations of small aperture arrays.
  • These methods offer practical solutions for improving beamforming in space-constrained applications.