一类声子晶体角梁的振动带隙研究  

Vibration band gaps of a kind of angle type beam of phononic crystals

作　　者：舒海生[1] 高恩武[1] 张法[1] 李世丹 董立强 

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》2013年第16期205-214,共10页Journal of Vibration and Shock

基　　金：中央高校基本科研业务费自由探索计划(HEUCF120705);哈尔滨工程大学2011级研究生培养基金资助项目(00207001060906)

摘　　要：针对声子晶体直梁的低维窄带减振特性的不足,提出了一类声子晶体角梁。采用传递矩阵法对角梁进行了理论分析和数值求解,并进行有限元仿真验证。分析结果表明:声子晶体角梁能够通过纵向振动和弯曲振动的转化使得组成梁的两种带隙同时得以发挥减振作用,从而有效地实现了宽频多维减振;声子晶体角梁的构造角度对其减振性能有明显的影响,90°角梁减振能力明显优于45°和135°情况;当加载角由0°向90°变化时,角梁内的振动由纵向振动为主逐渐过渡到弯曲振动占主导地位,弯曲带隙内的衰减也随之更加显著,反之亦然;扭簧能够加强角梁的"弹簧-振子"效应,不仅可以增加总振动带隙的宽度和衰减量,而且提高了低频区减振能力。Aiming at the problem that the straight beam of PCs has the shortage of low-dimensional and narrow frequency band damping characteristics,a kind of angle type beam of PCs was proposed.The transfer matrix method was used in theoretical analysis,numerical solutions of vibration transmissibility were obtained and further simulations were succeeded with finite element model.The results show that the angle type beam of PCs,which can transform longitudinal wave into transverse wave,can make two kinds of band gaps to simultaneously play the role of vibration attenuator so as to achieve multi-dimensional and broadband damping.The intersect angle of the angular beam of PCs has significant impact on the vibration reduction performance.The attenuation performance of the case of 90-degree is much better than that of other cases such as 45-degree and 135-degree.With the rise of loading angle from 0 to 90 degrees,the dominant vibration of the angle type beam of PCs gradually turns from the longitudinal vibration to bending vibration and the attenuation in transverse vibration band gaps also becomes more significant and vice versa.Torsional spring which strengthens the ＂spring-oscillator＂effect of the angle type beam of PCs can not only increase the band gaps width and attenuation of the overall structure,but also improves the capability of vibration damping in lower frequency zone.

关 键 词：声子晶体 角梁 扭簧 多维减振 宽频 

分 类 号：TB34[一般工业技术—材料科学与工程]