NON-LINEAR OSCILLATIONS OF A BAFFLED ELASTIC PLATE IN HEAVY FLUID LOADING CONDITIONS

✍ Scribed by S.V. SOROKIN

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 344 KB
• Volume: 232
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2768

✦ Synopsis

Non-linear vibrations of an elastic plate in heavy #uid loading conditions are considered. The structural non-linearity is taken into account along with the #uid non-linearity in a full Bernoulli integral formulation for the contact acoustic pressure and with the non-linearity in the formulation of the continuity condition. The modal analysis in spatial co-ordinates is used along with the method of multiple scales to search for a stationary response in the time domain. Resonant frequencies of a #uid-loaded plate are detected in a coupled formulation of structural acoustics and typical excitation conditions (a weak resonant excitation, hard monochromatic sub-and super-harmonic excitations, an excitation by two driving forces) are explored. The roles of the structural non-linearity and the non-linearity in the formulation of the #uid response are compared.

2000 Academic Press 0022-460X/00/180619#25 $35.00/0

Here c D is the of velocity sound in a #uid.

As it has been shown in reference [7], the use of the full Bernoulli relation for the acoustic pressure acting on the structure makes it necessary to revise also the continuity condition which in the linear problem formulation is posed at the non-deformed #uid}structure interface; see equation (3). Instead, it should be formulated with deformation of the plate taken into account, that is [4, 7] * *zJ " *w J *t # *w J *xJ * *xJ , zJ "0. (10)