Free vibration of stepped and restrained cantilever beams connected with a rigid body: Exact and numerical solutions

Hyuck Dong Kwon, Young Pil Park, Hyun Seok Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The object of this work is to analyze the dynamic characteristics of the portal closed frame which consists of two stepped beams including a torsional spring at the discontinuous point and a rigid body connecting each beam tips. This system is available in a lot of cases that need higher stiffness and linear motion of the tip mass. For example, it might be used for an optical pick-up actuator, using piezoelectric materials, of the high areal density CD, DVD or the next generation of optical memory devices, which requires super rigidity and linear motion in focusing. The mathematical modeling and the derivation of the equation of motion are given for the beam that is identically paralleled and stepped cantilevers. The equation of motion and the associated boundary and the continuous conditions are analytically obtained by using variational Hamilton's principle. The exact solutions are presented and compared with the results obtained by the use of the FEM Tool (IDEAS).

Original languageEnglish
Title of host publicationVibration and Control of Continuous Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages45-53
Number of pages9
ISBN (Electronic)9780791819234
DOIs
Publication statusPublished - 2000
EventASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000 - Orlando, United States
Duration: 2000 Nov 52000 Nov 10

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume2000-AS

Conference

ConferenceASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000
Country/TerritoryUnited States
CityOrlando
Period00/11/500/11/10

Bibliographical note

Funding Information:
This work was funded by the Korea Science and Foundation (KOSEF) through the Center for Storage Device (CISD) Grant No. 2000G0101.

Publisher Copyright:
© 2000 by ASME

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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