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

Method of Superposition01:20

Method of Superposition

1.8K
The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
1.8K
Superposition Theorem01:18

Superposition Theorem

1.5K
The superposition principle is a fundamental concept stating that in a linear circuit, the voltage across (or current through) an element can be determined by summing the individual contributions of each independent source acting in isolation. When dealing with linear circuits containing multiple independent sources, this principle serves as a valuable tool for analysis. To apply the superposition principle effectively, one should focus on a single independent source at a time while...
1.5K
Generalized Hooke's Law01:22

Generalized Hooke's Law

2.7K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
2.7K
Generalized Anxiety Disorder01:30

Generalized Anxiety Disorder

692
Generalized Anxiety Disorder (GAD) is a chronic condition characterized by excessive and uncontrollable worry that persists for at least six months, significantly interfering with daily functioning. Unlike situational anxiety, which arises in response to specific stressors, GAD often occurs without a clear cause. Individuals may experience disproportionate worry about work, health, or relationships. For instance, a person might continuously fear poor health despite normal medical evaluations or...
692
Social Foundations of Self II: The Generalized Other01:20

Social Foundations of Self II: The Generalized Other

259
According to George Herbert Mead, as children progress beyond the game stage, they develop a more comprehensive understanding of societal rules and norms. This cognitive and social development enables them to internalize the expectations of the broader community, refining their ability to regulate behavior.Consistent participation in organized activities is crucial in helping children recognize that their actions are not isolated but contribute to a more significant, interconnected group...
259
Generalization, Discrimination, and Extinction01:24

Generalization, Discrimination, and Extinction

1.4K
Generalization, discrimination, and extinction are key concepts in operant conditioning that influence how behaviors are learned and maintained.
Generalization occurs when a behavior reinforced in one context is performed in similar situations. For instance, a student who studies diligently for calculus and receives excellent grades might apply the same study habits to psychology and history, expecting similar results. Generalization shows how learning in one setting can influence behavior in...
1.4K

You might also read

Related Articles

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

Sort by
Same author

Bioinspired Light-Scattering Structures for Passive Daytime Radiative Cooling.

Advanced materials (Deerfield Beach, Fla.)·2026
Same author

Laser-Induced Graphene for Pressure and Strain Sensors: Fabrication, Performance Optimization, and Applications.

Small (Weinheim an der Bergstrasse, Germany)·2026
Same author

Superstrong and supertough biomimetic nanocellulose composites with gradient bouligand architecture.

Nature communications·2026
Same author

Morning Glory-Inspired 3D LIG/PDA Paper Evaporators for Efficient Solar Steam Generation.

ACS applied materials & interfaces·2026
Same author

A Wearable Electro-Controlled Microneedle Device for Synergistic Rheumatoid Arthritis Therapy.

Small (Weinheim an der Bergstrasse, Germany)·2025
Same author

Recent Advances in Porous Polymer-Based Flexible Piezoresistive Pressure Sensors.

Polymers·2025

Related Experiment Video

Updated: Jan 29, 2026

Whole Body Vibration Methods with Survivors of Polio
04:16

Whole Body Vibration Methods with Survivors of Polio

Published on: October 17, 2018

9.2K

A generalized superposition method for accurate free vibration analysis of rectangular plates and assemblies.

Shudong Yu1, Xuewen Yin2

  • 1Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, M5B 2K3, Canada.

The Journal of the Acoustical Society of America
|February 4, 2019
PubMed
Summary

A new superposition method accurately analyzes plate vibrations. This generalized approach works for single plates and assemblies with various boundary conditions, offering rapid convergence.

More Related Videos

Calibration Procedures for Orthogonal Superposition Rheology
08:43

Calibration Procedures for Orthogonal Superposition Rheology

Published on: November 18, 2020

2.4K
An Improved Method for Accurate and Rapid Measurement of Flight Performance in Drosophila
06:18

An Improved Method for Accurate and Rapid Measurement of Flight Performance in Drosophila

Published on: February 13, 2014

12.7K

Related Experiment Videos

Last Updated: Jan 29, 2026

Whole Body Vibration Methods with Survivors of Polio
04:16

Whole Body Vibration Methods with Survivors of Polio

Published on: October 17, 2018

9.2K
Calibration Procedures for Orthogonal Superposition Rheology
08:43

Calibration Procedures for Orthogonal Superposition Rheology

Published on: November 18, 2020

2.4K
An Improved Method for Accurate and Rapid Measurement of Flight Performance in Drosophila
06:18

An Improved Method for Accurate and Rapid Measurement of Flight Performance in Drosophila

Published on: February 13, 2014

12.7K

Area of Science:

  • Mechanical Engineering
  • Structural Analysis
  • Vibrational Dynamics

Background:

  • Free vibration analysis of rectangular plates is crucial in structural engineering.
  • Existing methods may have limitations with complex boundary conditions or plate assemblies.

Purpose of the Study:

  • To present a generalized superposition method for free bending vibration analysis.
  • To address single and assembled rectangular plates with arbitrary boundary conditions.

Main Methods:

  • Developed a generalized superposition method based on the Levy method.
  • Utilized the principle of superposition and uniform convergence of half-range Fourier cosine series.
  • Applied to thin isotropic plates and plate assemblies.

Main Results:

  • The proposed method demonstrates accuracy and rapid convergence for thin isotropic plates.
  • Numerical results validate the effectiveness of the generalized superposition approach.
  • The method shows potential for extension to moderately thick and orthotropic plates.

Conclusions:

  • The generalized superposition method provides an accurate and efficient tool for plate vibration analysis.
  • The method is versatile, applicable to various plate configurations and boundary conditions.
  • Future work can extend the method to more complex plate types and materials.