带有微孔黏弹性芯层的纤维金属混杂层合板振动分析模型  

Vibration analysis model of fiber-metal laminated plates with microporous viscoelastic layer

作　　者：姜世杰[1,2] 王子恒 于长帅 任旭辉 王昕彤 王相平 韩清凯 李晖[1,2,4] JIANG Shijie;WANG Ziheng;YU Changshuai;REN Xuhui;WANG Xintong;WANG Xiangping;HAN Qingkai;LI Hui(School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion Systems of Ministry of Education of China,Northeastern University,Shenyang 110819,China;State Key Laboratory of Robotics,Shenyang Institute of Automation,Chinese Academy of Sciences,Shenyang 110016,China;Key Laboratory of Impact Dynamics on Aero Engine,Liaoning Province,Shenyang 110015,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 [3]中国科学院沈阳自动化所机器人学重点实验室,沈阳110016 [4]辽宁省航空发动机冲击动力学重点实验室,沈阳110015

出　　处：《振动与冲击》2022年第9期59-65,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51505070,51705068);中央高校基本科研业务费专项资金(N180302004,N180703018,N180312012,N180703009,N170302001)。

摘　　要：建立了带有微孔黏弹性芯层的纤维金属混杂层合板(FMLP)振动分析模型。基于多孔材料弹性模量与密度的关系,导出了二维规则微孔分布形式下黏弹层的弹性模量表达式。采用经典层合板理论表示金属层与纤维层的位移场,同时为了考虑微孔黏弹性层的剪切变形影响,使用Reddy高阶剪切变形理论描述其位移场。进一步,基于Rayleigh-Ritz法、复模量法、应变能法和振型叠加法,求解获得了结构系统的固有频率、阻尼特性和脉冲激励下的时、频域振动响应。最后,以自行制备的带有单层微孔(直径0.5 mm,孔间距2 mm)的黏弹性芯层的纤维金属混杂层合板试件为研究对象,开展了试验验证研究。理论与测试结果对比发现,前3阶固有频率、阻尼比以及响应峰值的最大计算误差分别不超过4.5%、9.7%和7.5%,进而验证了所提出的理论模型的正确性。另外,依托所建立的模型,还讨论了微孔几何参数的变化对结构系统振动特性的影响。Here,a vibration analysis model of a fiber-metal laminated plates(FMLP)with microporous viscoelastic layer was established.Based on the relation between elastic modulus and density of porous materials,the expression of elastic modulus of viscoelastic layer under 2 D regular micropore distribution was derived.The classical laminated plate theory was used to represent the displacement field of metal layer and fiber layer.Meanwhile,to consider shear deformation of microporous viscoelastic layer,Reddy higher-order shear deformation theory was used to describe its displacement field.Further,based on Rayleigh-Ritz method,complex modulus method,strain energy method and the modal shape superposition method,the structural system’s natural frequencies,damping characteristics and vibration responses in time domain and frequency domain under impulse excitation were solved.Finally,the self-fabricated fiber-metal laminated plates specimen bringing viscoelastic core with single layer micropores of diameter 0.5 mm and hole spacing 2 mm was taken as the study object to conduct test verification.The theoretical calculation results were compared with test ones.It was shown that the maximum calculation errors of the first 3 natural frequencies,damping ratios and response peak values are no more than 4.5%,9.7% and 7.5%,respectively to verify the correctness of the proposed theoretical model.In addition,based on the established model,effects of variations of micropore geometric parameters on vibration characteristics of the structural system were also discussed.

关 键 词：微孔黏弹性芯层 纤维金属混杂层合板(FMLP) 二维规则分布微孔 振动响应 阻尼特性 

分 类 号：TB535.1[理学—物理]