Elastic wave propagation energy dissipation characteristics analysis on the viscoelastic damping material structures embedded with acoustic black hole based on semi-analytical homogeneous asymptotic method
Elastic wave propagation energy dissipation characteristics analysis on the viscoelastic damping material structures embedded with acoustic black hole based on semi-analytical homogeneous asymptotic method
复制标题
基于半解析齐次渐近法的嵌有声黑洞的粘弹性阻尼材料结构弹性波传播耗能特性分析
DOI：
10.1016/j.apm.2018.12.022
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发表时间：
2019-06
影响因子：
5
通讯作者：
Yu D. Y.
中科院分区：
文献类型：
--
作者：
Zhou X. Q.;Yu D. Y.
研究了嵌入声黑洞的粘弹性阻尼材料（VDM）复合材料板的弹性波能量耗散和吸收特性。考虑复合材料板中abh嵌入VDM结构的周期性分布，采用半解析齐次渐近理论，将宏观问题转化为微观问题。利用Reddy的三阶剪切变形理论定义和生成复合材料结构的面内变量，利用扩展Hamilton原理推导复合材料结构的平衡方程，利用代表性体积元理论确定复合材料结构的内平衡。确定复合材料层合结构的本构方程可以得到等效的剪切和应变平衡方程。然后，根据一般胡克定律定义复合等效刚度，并从等效损失模量和储存模量计算复合材料夹层板的无因次等效损失tanδ。深入分析和讨论了影响tanδ的ABH和VDM层因素。该研究可为低频段宽带宽传播波能量的耗散和吸收提供一种新的有效方法。通过数值模拟和伽辽金方法对分析结果进行了验证。
Elastic wave energy dissipation and absorption properties of viscoelastic damping material (VDM) composite plates embedded with acoustic black hole (ABH) are analyzed in this paper. Considering the periodic distribution of the ABH-embedded VDM structure in the composite plate, semi-analytical homogeneous asymptotic theory is applied, which transforms the macroscopic to a microscopic problem. In-plane variables of the composite structure are defined and generated by the third-order shear deformation theory of Reddy, and the equilibrium equations are derived by extended Hamilton's principle and the internal balance is consequently determined by representative volume element theory. Determining the constitutive equations of the composite laminate structure allow the equivalent shear and strain equilibrium equations to be achieved. Subsequently, the complex equivalent stiffness is defined according to the general Hooke's law, and the dimensionless equivalent loss tangent tanδof the composite sandwich plate is finally evaluated from the equivalent loss and storage modulus. The ABH and VDM layer factors which affect tanδare thoroughly analyzed and discussed. The investigation can supply a new efficient method to dissipate and absorb propagation wave energy with a wide bandwidth at low frequency. Additionally, the analysis is validated by numerical simulation and Galerkin methods.
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DOI：
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发表时间：
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期刊：
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影响因子：
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