2016/03/31 by Giorgio Carta, G. Carta, Alexander B. Movchan +4 · 30 citations
Engineering · Mathematics · Physics and Astronomy · #Acoustic Wave Phenomena Research #Acoustics #Algorithm #Computation #Computer science #Dispersion (optics) #Engineering #Finite element method #Fluid–structure interaction #Geometry #Mathematics #Mechanics #Optics #Physics #Reduction (mathematics) #Resonator #Scale (ratio) #Structural engineering #Transient (computer programming) #Vibration #Vibration Control and Rheological Fluids #Vibration and Dynamic Analysis #Vibration isolation #msc:74F10 #physics.flu-dyn
paper · pdf · doi:10.1016/j.ijengsci.2016.09.010
published in International Journal of Engineering Science 109, 216-239 (Elsevier BV) · 33 pages, 20 figures
openalex publication_date 2016/10/08 · arxiv created 2018/03/08 · arxiv updated 2018/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper presents a mathematical model for an industry-inspired problem of vibration isolation applied to elastic fluid-filled containers. A fundamental problem of suppression of vibrations within a finite-width frequency interval for a multi-scale fluid-solid system has been solved. We have developed a systematic approach employing full fluid-solid interaction and dispersion analysis, which can be applied to finite and periodic multi-scale systems. The analytical findings are accompanied by numerical simulations, including frequency response analyses and transient regime computations.