Dynamics of elastic beams with controlled distributed stiffness parameters

V. Krylov, S. V. Sorokin

Research output: Contribution to journalArticlepeer-review


The dynamics of an Euler-Bernnoulli beam with a time- and space-dependent bending stiffness is studied. The problem is considered in connection with the application of noise control using smart structures. It is shown that an effective control for the vibrations of the beam can be achieved by varying the bending stiffness. A nonlinear problem for the beam with an adaptive stiffness is formulated on the basis of maximal energy flux criteria. The technique of direct separation of fast and slow motion coupled with a Green function method is used to analyse the dynamics of the beam with high-frequency modulation of the stiffness. By means of such a modulation, it is demonstrated that the radiation frequency can be tuned away from the sound range thus improving substantially the acoustical properties of the structure.

Original languageEnglish
Pages (from-to)573-582
Number of pages10
JournalSmart Materials and Structures
Issue number5
StatePublished - Oct 1997


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