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

Types of Damping

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...

Damped Oscillations

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...

Mechanical Systems

Mechanical Systems

Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically described...

Stability of structures

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...

Types of Responses of Series RLC Circuits

Types of Responses of Series RLC Circuits

A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.

Relation between Mathematical Equations and Block Diagrams

Relation between Mathematical Equations and Block Diagrams

In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.

You might also read

Related Articles

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

Sort by

Same author

Jamming transition and normal modes of polydispersed soft particle packing.

Soft matter·2025

Same author

Moduli and modes in the Mikado model.

Soft matter·2021

Same author

Stress Relaxation above and below the Jamming Transition.

Physical review letters·2020

Same author

Nonlocal Effects in Inhomogeneous Flows of Soft Athermal Disks.

Physical review letters·2019

Same author

A minimal-length approach unifies rigidity in underconstrained materials.

Proceedings of the National Academy of Sciences of the United States of America·2019

Same author

Sticky Matters: Jamming and Rigid Cluster Statistics with Attractive Particle Interactions.

Physical review letters·2018

Search research articles

Related Experiment Video

Updated: May 16, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Dynamic critical response in damped random spring networks.

Brian P Tighe¹

¹Process & Energy Laboratory, Delft University of Technology, Leeghwaterstraat 44, 2628 CA Delft, The Netherlands.

Physical Review Letters

|December 11, 2012

Summary

Isostaticity, a critical state in amorphous materials, governs their mechanical properties. This study reveals that proximity to this state controls viscosity, shear modulus, and creep in random networks.

Area of Science:

Materials Science
Condensed Matter Physics
Rheology

Background:

The isostatic state is crucial for understanding the mechanical behavior of amorphous solids.
Amorphous materials exhibit complex responses influenced by their structural organization.

Purpose of the Study:

To investigate the role of the isostatic state in amorphous materials.
To establish a relationship between a diverging length scale and viscoelastic properties.
To determine how proximity to isostaticity affects material response.

Main Methods:

Construction of diverging length scales in nearly isostatic spring networks.
Analysis of the length scale above and below isostaticity at finite frequencies.
Numerical measurements of viscoelastic properties.

Related Experiment Videos

Last Updated: May 16, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Main Results:

A diverging length scale was successfully constructed and related to viscoelastic response.
Proximity to isostaticity was shown to control key mechanical properties.
Viscosity, shear modulus, and creep of random networks are directly influenced by isostaticity.

Conclusions:

The isostatic state is a fundamental organizing principle for amorphous material response.
The identified length scale provides a new metric for predicting viscoelastic behavior.
Understanding isostaticity offers insights into the mechanical properties of disordered materials.