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 Experiment Videos

Modeling three-dimensional elastic wave propagation in circular cylindrical structures using a finite-difference

Daniel Gsell1, Tobias Leutenegger, Jürg Dual

  • 1Institute of Mechanical Systems, ETH Zürich, Swiss Federal Institute of Technology, CH-8092 Zürich, Switzerland. daniel.gsell@alumni.ethz.ch

The Journal of the Acoustical Society of America
|January 22, 2005
PubMed
Summary

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Data-driven nonlinear model reduction to spectral submanifolds via oblique projection.

Chaos (Woodbury, N.Y.)·2025
Same author

Numerical investigation of crack propagation regimes in snow fracture experiments.

Granular matter·2024
Same author

Tools for manipulation and positioning of microtissues.

Lab on a chip·2022
Same author

Influence of particle shape and material on the acoustic radiation force and microstreaming in a standing wave.

Physical review. E·2022
Same author

Optical feedback control loop for the precise and robust acoustic focusing of cells, micro- and nanoparticles.

Lab on a chip·2022
Same author

Measuring the effects of a pulsed excitation on the buildup of acoustic streaming and the acoustic radiation force utilizing an optical tweezer.

Physical review. E·2022

This study presents an efficient numerical method for simulating elastic wave propagation in circular tubes. The new approach reduces computational costs while maintaining accuracy for nondestructive testing and shockwave analysis.

Area of Science:

  • * Computational mechanics
  • * Solid mechanics
  • * Wave propagation analysis

Background:

  • * Elastic wave propagation in circular cylindrical structures is crucial for nondestructive testing and understanding shock phenomena in tubes.
  • * Existing numerical methods often require significant computational resources (memory and time).

Purpose of the Study:

  • * To develop an accurate and efficient numerical method for simulating elastic wave propagation in circular cylindrical structures.
  • * To reduce computational memory and time requirements compared to traditional approaches.

Main Methods:

  • * Governing equations in cylindrical coordinates solved numerically by eliminating stress components.
  • * Second-order central differences used for spatial and temporal approximations.

Related Experiment Videos

  • * Staggered grid implementation for numerical stability, validated by von Neumann stability analysis.

    • Main Results:

    • * A new, accurate, and efficient finite-difference method for elastic wave propagation is presented.
    • * The numerical scheme demonstrates stability and conserves mechanical energy over long simulations.
    • * Dispersion relations confirm the physical accuracy of the calculated wave behavior.

    Conclusions:

    • * The proposed finite-difference method offers a computationally efficient and accurate solution for elastic wave propagation in cylindrical structures.
    • * The method is suitable for applications in nondestructive testing and shockwave analysis.
    • * Validation through energy conservation and dispersion relation analysis confirms the code's reliability.