声子晶体串联组合杆振动带隙研究  

Vibration band gaps of a kind of serial combined rod of phononic crystals

作　　者：舒海生[1] 高恩武[1] 刘少刚[1] 赵丹[1] 王威远[1] 

机构地区：[1]哈尔滨工程大学机电工程学院702所,哈尔滨150001

出　　处：《振动与冲击》2014年第16期194-200,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51375105);黑龙江省自然科学基金资助项目(E201418);中央高校基本科研业务费自由探索计划(HEUCF140705)

摘　　要：将声子晶体思想引入串联组合杆结构,构造二组元声子晶体串联组合杆结构。采用传递矩阵法对其进行理论分析及数值计算,并通过有限元仿真验证理论分析结果。对给定的减振要求进行遗传算法最优化求解。研究表明,由于面内、外振动耦合作用,在杆件结合处声子晶体串联组合杆能实现波型转换,弯曲、纵向、扭转带隙可同时被利用,可获得三维宽频减振能力;各子杆间夹角对减振性能有显著影响,可利用遗传算法对所需带隙范围进行声子晶体串联组合杆夹角最优化设计;加载角对各夹角组合形式的声子晶体串联组合杆减振性能影响规律类似,即加载角为0°或90°时该结构减振能力明显优于其它加载情况。A kind of serial combined rod of phononic crystals（ SCRpc） was proposed,introducing the thought of phononic crystals into the design of combined rods in series. Transfer matrix method was used in theoretical analysis,numerical solutions and optimal calculation of vibration transmissibility were put forward and further simulations proceeded by using finite element software. The results show that： a SCRpcwhich can realize the wave type transformation may make good use of bending,longitudinal and torsional band gaps,due to the effect of coupled in-plane and out-of-plane vibration at the junction of rods,to achieve three-dimensional and broadband vibration suppression. The intersecting angles of SCRpchave significant impacts on the performance of vibration reduction. According to the need of stop band,the optimal design of intersecting angles of SCRpccan be conducted by using genetic algorithm. Loading angles have the similar influence on the vibration suppressing of serial combined rods with various combinations of intersection angles,i. e. the attenuation performance of the 0 or 90 degrees case is much better than that of others.

关 键 词：声子晶体 串联组合杆结构 传递矩阵 多维宽频减振 遗传算法 

分 类 号：TB34[一般工业技术—材料科学与工程]