In this paper,we propose a homogenization theory for designing graded viscoelastic sonic crystals（VSCs） which consist of periodic arrays of elastic scatterers embedded in a viscoelastic host material.We extend an el...In this paper,we propose a homogenization theory for designing graded viscoelastic sonic crystals（VSCs） which consist of periodic arrays of elastic scatterers embedded in a viscoelastic host material.We extend an elastic homogenization theory to VSC by using the elastic-viscoelastic correspondence principle and propose an analytical effective loss factor of VSC.The results of VSC and the equivalent structure calculated by using the finite element method are in good agreement.According to the relation of the effective loss factor to the filling fraction,a graded VSC plate is easily and quickly designed.Then,the graded VSC may have potential applications in the vibration absorption and noise reduction fields.展开更多
基金supported by the National Basic Research Program of China(Grant No.2011CB610301)
文摘In this paper,we propose a homogenization theory for designing graded viscoelastic sonic crystals（VSCs） which consist of periodic arrays of elastic scatterers embedded in a viscoelastic host material.We extend an elastic homogenization theory to VSC by using the elastic-viscoelastic correspondence principle and propose an analytical effective loss factor of VSC.The results of VSC and the equivalent structure calculated by using the finite element method are in good agreement.According to the relation of the effective loss factor to the filling fraction,a graded VSC plate is easily and quickly designed.Then,the graded VSC may have potential applications in the vibration absorption and noise reduction fields.
