含吸声层和阻尼层叠层板的动力学建模研究  

Dynamic modeling of laminated plates covered with sound absorbing layer and damping layer

作　　者：陆静[1,2] 王青 陈莎 王宇翔 LU Jing;WANG Qing;CHEN Sha;WANG Yuxiang(College of Mechanical and Transportation Engineering,Guangxi University of Science and Technology,Liuzhou 545006,China;Guangxi Key Laboratory of Automobile Components and Vehicle Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学机械与交通工程学院,广西柳州545006 [2]广西汽车零部件与整车技术重点实验室,广西柳州545006

出　　处：《振动与冲击》2021年第2期272-278,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51665006)。

摘　　要：基于基板和吸声层的一阶微分控制方程,考虑阻尼层的自重,并借助黏弹性理论和层间连续性条件将阻尼层的剪应力及偏心力矩写为基板和吸声层状态向量的形式,该研究建立了含吸声层和阻尼层叠层板的整合动力学控制方程。结合边界条件和齐次扩容精细积分方法提出了一种求解此类叠层板力学特性的半数值半解析方法。为了验证该方法的正确性,采用有限元软件对层合板的动力学特性进行了数值仿真,结果表明该研究的模型具有较高的精度,研究中还采用该方法分析了孔隙率等材料参数对叠层板动力学特性的影响。Based on the first-order differential governing equations of the substrate layer and the sound absorbing layer,considering the self-weight of the damping layer,the integrated dynamics governing equations of a laminated plate covered with sound absorbing layer and damping layer were established.In the model,the shear stress of the damping layer and its eccentric moment were expressed as the state vectors of the substrate layer and the sound absorbing layer according to the viscoelastic theory and inter-layer continuity conditions.Then,a semi-numerical semi-analytical method for solving the mechanical properties of such laminated plates was proposed,combinedly considering the boundary conditions and using the homogeneous expansion precision integration method.In order to verify the correctness of the proposed method,a numerical simulation was implemented to analyze the dynamic characteristics of the laminated plate by using the finite element software.The results demonstrate the precision of the present model.The influence of material parameters,such as porosity etc.,on the dynamic characteristics of the laminated plate were also discussed.

关 键 词：吸声层 阻尼层 叠层板 动力学特性 

分 类 号：TB303[一般工业技术—材料科学与工程] TU311[建筑科学—结构工程]