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

Grazing instabilities and post-bifurcation behavior in an impacting string.

K D Murphy1, T M Morrison

  • 1Department of Mechanical Engineering, University of Connecticut, Storrs 06269-3139, USA.

The Journal of the Acoustical Society of America
|February 28, 2002
PubMed
Summary

This study investigates nonlinear dynamics in strings with amplitude restraints, revealing how grazing-induced impacts lead to complex behaviors like chaos. Researchers identified conditions causing these instabilities for better prediction and control.

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

Precision medicine in human heart modeling : Perspectives, challenges, and opportunities.

Biomechanics and modeling in mechanobiology·2021
Same author

Endoscopic <i>Botulinum</i> toxin as a treatment for delayed gastric emptying following oesophagogastrectomy.

Annals of the Royal College of Surgeons of England·2020
Same author

Axis I disorders in adjustable gastric band patients: the relationship between psychopathology and weight loss.

Obesity surgery·2014
Same author

Bioengineered tissue substitutes in implant extrusion.

Journal of plastic, reconstructive & aesthetic surgery : JPRAS·2008
Same author

Effect of supplementation with calcium salts of fish oil on n-3 fatty acids in milk fat.

Journal of dairy science·2007
Same author

Heparin-induced thrombocytopenia and thrombosis syndrome.

Radiographics : a review publication of the Radiological Society of North America, Inc·1998

Area of Science:

  • Mechanical Engineering
  • Nonlinear Dynamics
  • Vibrational Analysis

Background:

  • Strings with amplitude restraints exhibit complex dynamic behaviors under periodic excitation.
  • Impact conditions arise when response amplitudes approach the restraint, leading to nonlinear phenomena.
  • Grazing instability, a specific zero-velocity impact, is a key factor in complex post-bifurcation dynamics.

Purpose of the Study:

  • To theoretically and experimentally investigate the nonlinear dynamic response of a periodically excited string with a knife-edge amplitude restraint.
  • To analyze the influence of grazing instability on the system's behavior.
  • To identify parameter combinations that lead to grazing incidence.

Main Methods:

  • Nonlinear dynamic response analysis using theoretical modeling and experimental investigation.

Related Experiment Videos

  • Multiple scales perturbation analysis to identify parameter spaces for grazing.
  • Numerical simulations to study multifrequency periodic motion and chaotic responses.

    • Main Results:

    • The study demonstrates that grazing instability can lead to complex post-bifurcation behaviors, including multifrequency periodic motion and chaos.
    • Parameter combinations leading to grazing incidence were clearly identified in the excitation force-excitation frequency space.
    • The research provides insights into the transition from simple periodic responses to chaotic dynamics.

    Conclusions:

    • Grazing instability significantly influences the nonlinear dynamic response of the investigated string system.
    • Understanding the identified parameter space is crucial for predicting and controlling the system's behavior.
    • The findings contribute to the understanding of impact dynamics in mechanical systems and have implications for engineering design.