考虑层间变形的约束阻尼圆柱壳振动特性分析  

Vibration Characteristics Analysis of Constrained Damped Cylindrical Shell Considering Interlayer Deformation

作　　者：马宏伟 陈中石 孙伟[1,2] MA Hongwei;CHEN Zhongshi;SUN Wei(School of Mechanical Engineering&Automation,Northeastern University Shenyang,110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education,Northeastern University Shenyang,110819,China)

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,沈阳110819

出　　处：《振动．测试与诊断》2023年第5期1018-1025,1045,共9页Journal of Vibration,Measurement & Diagnosis

基　　金：中央高校基本科研业务费资助项目(N180312012)。

摘　　要：在约束阻尼减振结构中,中间的黏弹性层主要依靠基体及约束层的交错运动产生剪切变形而消耗能量,因而这种层间变形关系需要被有效引入以提升建模精度,为此采用有限元法对局部贴敷约束阻尼层圆柱壳进行了动力学建模方法研究。首先,基于Donnell′s薄壳理论,在考虑各层之间变形关系的基础上,推导了复合单元的刚度及质量矩阵;其次,构造了一种过渡单元来连接复合壳单元和仅有基体的单层单元,实现了局部贴敷约束阻尼层圆柱壳总刚度及总质量矩阵的有效组集;然后,在考虑复合圆柱壳弹性约束边界条件的基础上,确定了复合壳的运动方程,并给出了求解振动特性的公式;最后,进行了实例研究,通过与实验和ANSYS仿真结果的对比,验证了所提有限元模型的正确性,并进一步分析了约束层、阻尼层厚度变化对复合圆柱壳振动和阻尼特性的影响。In a structure with constrained damping,the middle viscoelastic layer mainly depends on the staggered motion of the substrate and the constrained layer to produce shear deformation and dissipate energy,so an effective approach for introducing interlayer deformation relationships is necessary to improve modeling accuracy.Therefore,the finite element method is used to investigate the dynamic modeling method of cylindrical shell with partial constrained layer damping.Firstly,based on Donnell′s thin shell theory,the stiffness and mass matrices of the composite element are derived by considering the deformation relationship between each layer.Next,a transition element is constructed to connect the composite shell element and the single layer element with only substrate,and the effective assembly of the total stiffness and total mass matrices for cylindrical shell structure with partial constrained layer damping is realized.Furthermore,considering the elastic constrained boundary conditions of composite cylindrical shell,the motion equation of composite shell is determined,and the formula for solving its vibration characteristics is provided.Finally,a case study is conducted to verify the accuracy of the proposed finite element model by comparing it with experimental and ANSYS simulation results.The influence of thickness on both constrained layer and viscoelastic layer on the vibration and damping characteristics of composite cylindrical shell are further analyzed.

关 键 词：层间变形关系 局部贴敷 约束阻尼层 圆柱壳 振动特性 有限元建模 

分 类 号：TH113.1[机械工程—机械设计及理论] V214.3[航空宇航科学与技术—航空宇航推进理论与工程] TB535[理学—物理]