Related Experiment Video
Updated: May 24, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Wave motion and dispersion phenomena: veering, locking and strong coupling effects
Brian R Mace1, Elisabetta Manconi
1Institute of Sound and Vibration Research, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom. brm@isvr.soton.ac.uk
The Journal of the Acoustical Society of America
|February 23, 2012
Summary
This study analyzes wave propagation phenomena in structures, focusing on how dispersion curves interact. It details veering and locking phenomena arising from weak coupling, crucial for understanding wave behavior.
Area of Science:
- * Structural mechanics
- * Wave propagation physics
- * Acoustics and vibrations
Background:
- * Dispersion curves are fundamental to understanding wave propagation in structures.
- * Frequency variations lead to changes in wavenumbers and potential dispersion phenomena.
- * Wave mode shapes describe structural deformation during wave passage.
Purpose of the Study:
- * To characterize, analyze, and quantify wave propagation phenomena in general terms.
- * To illustrate dispersion phenomena with specific examples.
- * To investigate the impact of weak and strong coupling on dispersion curves.
Main Methods:
- * Analysis of dispersion curves and their branches representing wave modes.
- * Examination of interactions between dispersion curve branches (veering and locking).
- * Quantification of phenomena based on the product of dispersion curve gradients.
Main Results:
- * Identified two classes of phenomena: weak coupling (veering, locking) and strong coupling.
- * Weak coupling phenomena occur near critical frequencies where undamped curves would cross.
- * Veering or locking depends on dispersion curve gradients; strong coupling alters qualitative nature.
Conclusions:
- * Dispersion phenomena, like veering and locking, are critical for understanding wave behavior in structures.
- * These phenomena persist in damped systems unless damping levels differ significantly.
- * Strong coupling effects can fundamentally change the nature of dispersion curves.
More Related Videos
Related Concept Videos
01:07Propagation of Waves
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
01:07Interference and Superposition of Waves
When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
01:02Equations of Wave Motion
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
01:05Doppler Effect - II
The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
01:04Travelling Waves
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...
00:54Distribution and Dispersion
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...