Additional Natural Frequency of the Beam Carrying a Spring-Mass System: Lost and Found-Reference-Cited by-同舟云学术

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Additional Natural Frequency of the Beam Carrying a Spring-Mass System: Lost and Found

Published:2024-07-03 Issue:9 Volume:19 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Zawadzki Matthieu¹,Elishakoff Isaac²

Affiliation:

1. SIGMA Clermont , 27 Rue Roche Genès, Aubière 63170, France

2. Department of Ocean and Mechanical Engineering, Florida Atlantic University , Boca Raton, FL 33431-0991

Abstract

Abstract This study revisits the free vibration of a cantilever beam with a mass-spring system attached at the tip of the beam. We recover the natural frequencies that were reported in some special case, and establish that there could be an additional, “lost” frequency that was somehow not uncovered in previous investigations. This frequency is found hereinafter.

Publisher

ASME International

Link

https://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/19/9/091001/7352034/cnd_019_09_091001.pdf

Reference38 articles.

1. Vibrations of Plates Loaded by Concentrated Masses;Prikladnaya Matematika i Mekhanika,1933

2. The Theory of the Dynamic Vibration Absorber;Trans. Am. Soc. Mech. Eng.,1928

3. Theory of Dynamic Vibration Absorbers for Beams,1952

4. Vibration of Cantilever Beams to Which Dynamic Absorbers Are Attached;J. Acoust. Soc. Am.,1966

5. Vibrations of Elastic Surface Systems Carrying Dynamic Elements;J. Acoust. Soc. Am.,1970

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