周期蜂窝结构准静态参数分析方法适用条件探讨
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发表时间：2015-01-01
发表刊物：中国科技论文
期号：16
页面范围：1939-1943
ISSN号：2095-2783
摘要：There are two kinds of analytical methods for investigating the material characteristics of composites with periodic mi-crostructures,such as honeycomb structures.One is the quasi-static analytical methods,such as the homogenization method,to analyze the quasi-static material parameters,and the other is the dynamic analytical methods,such as the plane wave spectrum method,to analyze the dynamic material parameters and band gap structures.In order to distinguish the applied scope of the two kind methods,a two dimensional analytical model with a large number of honeycomb structures is firstly constructed,and the transient behaves of waves which propagate in the model of honeycomb structures are simulated by using the time-integration method for transient dynamic analyses with the absorbing boundary condition.Comparing the numerical results with those ob-tained by using the homogenization method and the spectrum analysis method,the condition is discussed for the use of the materi-al parameters evaluated by means of the quasi-static analytical methods,which is described by virtue of the characteristic parame-terζdefined as the ratio of the feature size of periodic structures to the characteristic wavelength of the plane wave propagating in the solid materials.Meanwhile,the amplitude attenuation characteristics of the plane wave,which transmits in the two dimen-sional large model of honeycomb structures,are illustrated when the plane wave frequency gradually approaches the first band gap frequency of honeycomb structures.Results show that for the honeycomb structures with the angle of unit cellα≤120°,the qua-si-static analytical methods can be used to analyze the material parameters whenζ≤0.1,and the dynamic analytical methods can be used to analyze the band gap whenζ≥0.3.
备注：新增回溯数据
发表时间：2015-01-01