Analysis Of Band GAP Characteristics Of One-Dimensional Multi-oscillator Periodic Structure

The periodicity of the material or structure gives the model a special property,often referred to as a periodic structure.When the elastic wave propagates in the periodic structure,the elastic wave of a specific frequency is affected by the periodic structure,resulting in the forbidden band characteristics of the wave.At present,there are many researches on the single-vibrator periodic structure.It is not difficult to find that the performance improvement of the periodic structure at low frequencies has always been a problem.Based on the theory of periodic structure,this paper uses single-crystal lattice multi-vibrators on the premise of not adding extra mass.The scheme improves the blocking effect of the periodic structure on the elastic wave at low frequencies by adjusting the mass distribution of the vibrator.On the other hand,based on the single-double oscillator periodic structure model,the influence and effect of the inertial element on the low band gap are explored.The main research and analysis contents of this thesis are as follows:Firstly,based on the mass-spring periodic system model,the finite lattice model and the infinite lattice model of the single-period periodic structure are analyzed.The influence of various parameters of the system on the band gap is obtained.Then,the influences of the series arrangement and parallel arrangement of the vibrators on the position and width of the bandgap are compared.Based on the vibrator series model,the influence of the mass distribution of the vibrator and the number of vibrators on the bandgap is analyzed.The gradient variation of the mass distribution of the vibrator and the optimization calculation of the spring stiffness are used to improve the blocking performance of the periodic structure at the low frequency,and good results are obtained.Finally,based on the previous research conclusions,this paper explores the role of inertial components in the single-and double-vibrator mass-spring periodic structure.Based on the parallel connection,series connection and improved arrangement model of inertial components and springs,the variation of the inertia capacity is analyzed.The impact of performance.From the analysis results,the inertial components have a very positive significance for the performance improvement of the periodic structure.The main purpose of this thesis is to improve the bandgap characteristics of the periodic structure at low frequencies without adding extra mass.From the research results,the arrangement of multi-vibrators and the application of the inertial components can improve the performance of the low-band gap of the periodic structure.To a very positive role.