Fluids and Periodic Structures (Research in Applied Mathematics, 38)
Fluids and Periodic Structures (Research in Applied Mathematics, 38)
Editorial Reviews
The publisher, John Wiley & Sons
The main emphasis of this book lies in understanding the vibrations of fluid-solid structures, in which mechanical bodies interact with a surrounding fluid. Deriving models representing these vibrations and validating them are principal aims, as is the study of their asymptotic behaviour. The authors introduce here a non-standard homogenization technique and apply it to the class of eigenvalue problem alluded to above. It is based on the so-called Bloch wave decomposition, a technique that is often used in physics. This volume also includes a systematic presentation of two-scale convergence analysis which is a modern approach to treat homogenization problems.
Fluids and Periodic Structures (Research in Applied Mathematics, 38),C. Conca,J. Planchard,M. Vanninathan,John Wiley & Sons Inc,0471960594,Analytic Mechanics (Mathematical Aspects),Applied,Engineering - Mechanical,Fluid Mechanics,Hydraulics,Mathematics,Science/Mathematics,Technology & Industrial Arts,Dynamics & vibration,Mathematics for scientists & engineers,Mechanics of fluids,Sound, vibration & waves (acoustics)
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