摘要
引入动力反共振结构,构建了一种具有低频局域共振带隙的新型细直梁周期结构。基于传递矩阵法和Bloch理论推导了无限周期细直梁纵向振动弹性波能带结构的理论模型,利用有限元法建立了有限周期细直梁纵向振动传输特性的数值模型,仿真结果与理论计算基本吻合。通过分析局域共振带隙与共振子等效质量和等效刚度的关联,阐述了动力反共振周期结构对细直梁纵向振动的隔振机理,给出了局域共振带隙的变化规律。研究表明,与采用弹簧质量为局域共振子的细直梁周期结构相比,应用动力反共振结构能够实现更低的带隙初始频率。
Taking a dynamic anti-resonance vibration isolator( DAVI) as a resonator,a periodic structure was constructed by attaching periodic arrays of local resonatorsto a beam. This structure could exhibit lower local resonance bandgap initial frequency. Based on the transfer matrix method and the Bloch theory,the theoretical model for longitudinal vibration elastic wave energy band structure of an infinite periodic slender beam was derived. Using the finite element method,the numerical model for longitudinal vibration transmission characteristics of a finite periodic slender beam was built. The simulation results agreed well with those of theoretical calculation. By analyzing the correlation between local resonance bandgap and DAVI resonator's equivalent mass & stiffness,the vibration isolation mechanism of a dynamic anti-resonance periodic structure against longitudinal vibration of a slender beam was presented. The variation law of the local resonance bandgap was deduced. The study showed that compared with the spring-mass local resonator,the dynamic anti-resonance structure can be used to realize lower bandgap initial frequency.
出处
《振动与冲击》
EI
CSCD
北大核心
2017年第24期142-147,共6页
Journal of Vibration and Shock
基金
国家自然科学基金(51505281)
关键词
局域共振
细直梁
声子晶体
动力反共振
传递矩阵法
local resonance
slender beam
photonic crystal
dynamic anti-resonance
transfer matrix method
