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Related Concept Videos

Shock Waves01:16

Shock Waves

While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high pressures...
Sound as Pressure Waves01:17

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Sound Waves01:01

Sound Waves

Sound waves can be thought of as fluctuations in the pressure of a medium through which they propagate. Since the pressure also makes the medium's particles vibrate along its direction of motion, the waves can be modeled as the displacement of the medium's particles from their mean position.
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well. Hence,...
Intensity and Pressure of Sound Waves01:05

Intensity and Pressure of Sound Waves

The intensity of sound waves can be related to displacement and pressure amplitudes by using their wave expressions and the definition of intensity. The critical step to achieve this is to write the power delivered by the particles on the wave as the product of force and velocity and simplify the force per unit area as the pressure. The velocity of the medium's particles can be derived from the displacement.
Unlike the time average of a sinusoidal term, which is zero since it is positive and...
Plane Electromagnetic Waves II01:29

Plane Electromagnetic Waves II

Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.

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Related Experiment Video

Updated: Jul 19, 2026

Conducting Elevated Temperature Normal and Combined Pressure-Shear Plate Impact Experiments Via a Breech-end Sabot Heater System
10:52

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Published on: August 7, 2018

Interaction of a plane progressive sound wave with a functionally graded spherical shell.

Seyyed M Hasheminejad1, M Maleki

  • 1Acoustics Research Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran. hashemi@iust.ac.ir <hashemi@iust.ac.ir>

Ultrasonics
|October 3, 2006
PubMed
Summary

This study analyzes sound wave interaction with elastic spherical shells. Findings reveal how material properties and wave frequency influence acoustic forces on composite shells.

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Area of Science:

  • Acoustics
  • Materials Science
  • Mechanical Engineering

Background:

  • Spherical shells are crucial in various engineering applications.
  • Understanding acoustic wave interaction is vital for structural integrity and performance.
  • Radially inhomogeneous shells present complex analytical challenges.

Purpose of the Study:

  • To investigate the acoustic response of a thick-walled elastic spherical shell.
  • To analyze the influence of a functionally graded interlayer on shell acoustics.
  • To determine the effects of wave frequency and material gradients on acoustic radiation force.

Main Methods:

  • Exact analysis using laminated approximation method.
  • Modal state equation with variable coefficients.
  • Taylor's expansion theorem for global transfer matrix calculation.

Main Results:

  • A numerical example for an Aluminum/Zirconia sandwich shell is presented.
  • The study examines the impact of interlayer properties and wave frequency.
  • Form function amplitude and average radiation force are calculated.

Conclusions:

  • The developed method accurately models acoustic-shell interaction.
  • Functionally graded materials significantly affect the shell's acoustic behavior.
  • Results provide insights into designing composite shells for specific acoustic environments.