DENSITY OF ENERGY OF A PERIODICALLY UNSTUCK ELASTIC BEAM

✍ Scribed by E. JACQUELIN; C. REMILLAT; J.P. LAINE; F. THOUVEREZ

• Book ID: 102606422
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 188 KB
• Volume: 237
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3069

✦ Synopsis

In the present paper, a method to model a periodically stuck constrained elastic layer applied to a beam is proposed. The periodic distribution of the interface conditions enables one to use an homogenization technique. A simpli"ed homogenization method is presented, which relies on kinematic assumptions on the shape of the displacement "eld in the beam. The potential and kinetic energies are then calculated to carry out a "nite element formulation of the problem. Using the homogenized beam element, the "rst "ve natural frequencies are computed. These are compared to a conventional "nite element modelling. The two models are in good agreement. However, a tremendous reduction of the number of degrees of freedom (d.o.f.) needed is achieved using the homogenized "nite element beam (63 d.o.f.), compared to the classical "nite element model (1500 d.o.f.).