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首页> 外文期刊>Applied Mathematical Modelling >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
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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

机译：基于半解析齐次渐近法的声学黑洞埋入式粘弹性阻尼材料结构弹性波传播能量耗散特性分析

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摘要

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 tan delta of the composite sandwich plate is finally evaluated from the equivalent loss and storage modulus. The ABH and VDM layer factors which affect tan delta are 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. (C) 2018 Elsevier Inc. All rights reserved.
机译：分析了嵌有声学黑洞（ABH）的粘弹性阻尼材料（VDM）复合板的弹性波能量耗散和吸收特性。考虑到复合板中嵌入ABH的VDM结构的周期性分布，应用了半解析均质渐近理论，将宏观问题转化为微观问题。复合结构的面内变量是由Reddy的三阶剪切变形理论定义和生成的，平衡方程是由扩展的Hamilton原理导出的，内部平衡因此由代表性的体积元理论确定。确定复合叠层结构的本构方程，可以实现等效的剪切和应变平衡方程。随后，根据通用胡克定律定义复数等效刚度，最后根据等效损耗和储能模量评估复合夹芯板的无量纲等效损耗正切tanδ。会彻底分析和讨论影响tanδ的ABH和VDM层因素。该研究可提供一种新的有效方法，以消散和吸收低频处具有较宽带宽的传播波能量。此外，该分析通过数值模拟和Galerkin方法进行了验证。 （C）2018 Elsevier Inc.保留所有权利。

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