声子晶体串联组合杆振动带隙研究

舒海生;高恩武;刘少刚;赵 丹;王威远

振动与冲击 ›› 2014, Vol. 33 ›› Issue (16) : 194-200.

PDF(2005 KB)
PDF(2005 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (16) : 194-200.
论文

声子晶体串联组合杆振动带隙研究

  • 舒海生,高恩武,刘少刚,赵 丹,王威远
作者信息 +

Research on the vibration band gaps of a kind of serial combinedrod of phononic crystals

  • SHU Hai-sheng,GAO En-wu,LIU Shao-gang,ZHAO Dan,WANG Wei-yuan
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文章历史 +

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。

Abstract

A kind of serial combined rod of phononic crystals (SCRpc) is proposed which introduces the thought of phononic crystals into the design of combined rods in series. Transfer matrix method is used in theoretical analysis, numerical solutions and optimal calculation of vibration transmissibility are obtained and further simulations are preceded in finite element software. The results show that: firstly, a SCRpc which can realize the wave type transformation may make good use of bending, longitudinal and torsional band gaps duo to the effect of coupled in-plant and out-of-plant vibration at the junction of rods , so as to achieve three-dimensional and broadband vibration suppression. The structure is a good type of multi-dimensional and broadband vibration isolating element. Secondly, the intersect angles of SCRpc have significant impacts on the performance of the vibration reduction. According to the need of stop band, the optimal design of the intersect angles of SCRpc can be conducted by genetic algorithm. Thirdly, different loading angles have the similar influencing law when being acted on 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

Key words

phononic crystals / serial combined rod / transfer matrix / multi-dimensional and broadband damping / genetic algorithm

引用本文

导出引用
舒海生;高恩武;刘少刚;赵 丹;王威远. 声子晶体串联组合杆振动带隙研究[J]. 振动与冲击, 2014, 33(16): 194-200
SHU Hai-sheng;GAO En-wu;LIU Shao-gang;ZHAO Dan;WANG Wei-yuan. Research on the vibration band gaps of a kind of serial combinedrod of phononic crystals[J]. Journal of Vibration and Shock, 2014, 33(16): 194-200

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