Band gap characteristics of periodically stiffened-thin-plate based on center-finite-difference-method

Simplified-super-element-method for analyzing free flexural vibration characteristics of periodically stiffened-thin-plate filled with viscoelastic damping material

“…17, which shows the first and second band gap with the same geometric dimensions of the structure without VDM obtained by CDFM [28]. In Fig.…”

Tolerance Modelling of Vibrations and Stability for Periodic Slender Visco-Elastic Beams on a Foundation with Damping. Revisiting

“…[ 29 , 30 ]. That was observed and analyzed in a few papers; e.g., the differential quadrature method was applied to analyze vibration band gaps in periodic beams by Xiang and Shi [ 31 ] and to consider flexural wave band gaps in periodic composite plates by Cheng et al [ 32 ]; the transfer matrix method was adapted to analysis of flexural wave propagation in a beam on an elastic foundation and for investigating natural frequencies of non-uniform periodic beams by Yu et al [ 33 ] and Xu et al [ 34 ], respectively; wave propagation in beams with periodically varying stiffness was considered by Chen [ 35 ] via applying the multireflection method; Zhi-Jing et al [ 36 ] investigated vibration band gap properties of periodic Mindlin’s plates using a spectral element method; a center finite difference method was used by Zhou et al [ 37 , 38 ] to analyze band gaps of periodic thin plates with or without damping.…”

The effect of uncertain material properties on free vibrations of thin periodic plates

“…However, some of these effects, like higher order vibrations can be also considered using some special methods. For example, in paper of Zhou et al [14] an application of the Bloch's theorem and the centre finite difference method is used to a problem of free flexural vibration of periodic stiffened thin plates in order to obtain basic and higher frequencies as well.…”