Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Three-Dimensional Force System:Problem Solving

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...

Equations of Equilibrium in Three Dimensions

Equations of Equilibrium in Three Dimensions

When analyzing structures or systems at rest, it is necessary to ensure they are in equilibrium. This is where the vector and scalar equations of equilibrium come into play. These equations are crucial in ensuring a structure is stable and will not collapse or fall apart. The vector and scalar equations of equilibrium provide a framework for analyzing the forces acting on a body.
According to the vector equations of equilibrium, the vector sum of all the external forces acting on a body must...

Three-Dimensional Force System

Three-Dimensional Force System

In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...

Mechanistic Models: Overview of Compartment Models

Mechanistic Models: Overview of Compartment Models

Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...

Modes of Standing Waves - I

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...

Beams with Symmetric Loadings

Beams with Symmetric Loadings

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...

You might also read

Related Articles

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

Sort by

Same author

Unsupervised and probabilistic learning with Contrastive Local Learning Networks: The Restricted Kirchhoff Machine.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Reverse segregation and self-organization in inclined chute flows of bidisperse granular mixtures.

Physical review. E·2026

Same author

Effect of translational shear on interfacial structure in the viscous fingering instability.

Science advances·2026

Same author

Evolutionary pathways in epistatic mechanical networks.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Insight: A Multi-Modal Diagnostic Pipeline using LLMs for Ocular Surface Disease Diagnosis.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention·2026

Same author

Training of physical neural networks.

Nature·2025

Search research articles

Related Experiment Video

Updated: Jun 23, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

Normal modes in model jammed systems in three dimensions.

Leonardo E Silbert¹, Andrea J Liu, Sidney R Nagel

¹Department of Physics, Southern Illinois University, Carbondale, Illinois 62901, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 28, 2009

Summary

The study analyzes vibrational spectra in 3D particle packings near and far from the jamming transition. Low-frequency modes transition from plane-wave-like at high compression to non-localized and non-plane-wave-like near jamming.

More Related Videos

Measurement of Chladni Mode Shapes with an Optical Lever Method

Measurement of Chladni Mode Shapes with an Optical Lever Method

Published on: June 5, 2020

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

Related Experiment Videos

Last Updated: Jun 23, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

Measurement of Chladni Mode Shapes with an Optical Lever Method

Measurement of Chladni Mode Shapes with an Optical Lever Method

Published on: June 5, 2020

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Understanding the vibrational properties of disordered solids is crucial.
The jamming transition marks a critical point where granular materials gain rigidity.

Purpose of the Study:

To analyze the vibrational spectra and normal modes of 3D particle packings.
To investigate how these properties change with compression, especially near the jamming transition.

Main Methods:

Analysis of vibrational spectra and normal modes.
Examination of particle packings at varying compression levels.

Main Results:

High-frequency normal modes are localized across all compressions.
Low-frequency modes exhibit compression-dependent behavior: plane-wave-like at high compression, and neither plane-wave-like nor localized near jamming.
Unusual dispersion behavior is observed in marginally jammed solids.

Conclusions:

The nature of low-frequency vibrational modes in disordered solids is strongly dependent on compression.
Marginally jammed solids display unique vibrational characteristics distinct from crystalline or isotropic materials.