Using strong nonlinearity and high-frequency vibrations to control effective mechanical stiffness

Jon Juel Thomsen (Invited author)

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

High-frequency excitation (HFE) can be used to change the effective stiffness of an elastic structure, and related quanti-ties such as resonance frequencies, wave speed, buckling loads, and equilibrium states. There are basically two ways to do this: By using parametrical HFE (with or without non-linearity), or by using external HFE along with strong nonlinearity. The first way has been examined for many dif-ferent systems, and analytical predictions exist that has been repeatedly confirmed against numerical simulation and labo-ratory experiments. The current work contributes knowledge on the other way: Combining the method of direct separation of motions with results of a modified multiple scales ap-proach, valid also for strong nonlinearity, the stiffening ef-fect is predicted for a generic 1-dof system, and results are tested against numerical simulation and ((it is planned)) laboratory experiments.
Original languageEnglish
Title of host publicationProceedings of the 6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008)
EditorsB. R. Andrievsky, A. L. Fradkov
Number of pages9
Place of PublicationSt. Petersburg. Russia
PublisherEuropean Mechanics Society
Publication date2008
Publication statusPublished - 2008
Event6th EUROMECH Nonlinear Dynamics Conference - St. Petersburg, Russian Federation
Duration: 30 Jun 20084 Jul 2008
Conference number: 6
http://conf.physcon.ru/enoc08/

Conference

Conference6th EUROMECH Nonlinear Dynamics Conference
Number6
CountryRussian Federation
CitySt. Petersburg
Period30/06/200804/07/2008
Internet address

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