曲梁周期结构隔振器特性研究  

Dynamic properties of a periodic turved-beam structure isolator

作　　者：黄修长[1] 徐时吟[1] 蒋爱华[1] 张志谊[1] 华宏星[1] 

机构地区：[1]上海交通大学机械系统与振动国家重点实验室,上海200240

出　　处：《振动与冲击》2012年第5期171-175,共5页Journal of Vibration and Shock

基　　金：国家安全重大基础研究973项目(613100)

摘　　要：利用曲梁具有径向刚度和切向刚度耦合以及波形转换的特性,设计了具有低频宽频带隙的曲梁周期结构隔振器。该隔振器由多层面板-支撑曲梁结构构成。针对曲梁对边支撑的结构,推导了分析含有内部自由度的周期结构的能带结构以及利用子结构迭代法进行响应求解的一般公式,并进行了验证,该子结构迭代法特别适合于周期数较多的复杂周期结构的响应求解。对带隙起始频率和终止频率所对应的结构模态进行了分析。讨论了曲梁和面板结构参数变化对周期结构隔振器带隙结构的影响。并且对一对边支撑的曲梁周期结构隔振器进行试验研究,测得其原点导纳和传递导纳,验证了这种周期结构低频宽频带隙的存在和建模方法的正确性。A periodic structure isolator possessing high static stiffness and broad low frequency band-gap was designed by using curved beams having characteristics of coupled radial-tangential stiffness and conversion capability of waveforms. The isolator was composed of multi-layer plates and curved beams. For a curved-beam structure with opposite- edges supports, the formulas for the energy band structure of a periodic structure containing interior DOFs and the forced response solving with the substructure synthesis method were derived and validated. The proposed substructure synthesis method was helpful for modeling the periodic structures having a large number of periodic unit cells. The relations between the initial frequency and the end frequency of the frequency band-gap were studied and the corresponding modes of the periodic structure were analyzed. The influence of parameters of curved beam on the frequency band-gap of a periodic structure isolator was studied in detail. Tests on a periodic curved beam structure isolator with opposite-edge supports were conducted, its driving-point and transfer mobilities were measured. The results demonstrated that the periodic isolator composed of curved beams has wide frequency band-gap, the proposed modeling method is correct.

关 键 词：周期结构 曲梁 带隙结构 子结构迭代法 

分 类 号：O328[理学—一般力学与力学基础]