低速冲击激励下嵌入黏弹性阻尼芯层的纤维金属混杂层合板动态响应预测模型

李则霖; 李晖; 王东升; 任朝晖; 祖旭东; 周晋; 官忠伟; 王相平

doi:10.6052/0459-1879-20-165

低速冲击激励下嵌入黏弹性阻尼芯层的纤维金属混杂层合板动态响应预测模型

doi: 10.6052/0459-1879-20-165

李则霖^*,†,
李晖^{*,†,**,2), ,},
王东升^*,†,
任朝晖^*,†,
祖旭东^††,***,
周晋^{††,†††},
官忠伟^††,
王相平^**

^*东北大学机械工程与自动化学院,沈阳 110819
^†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
^**中国航发沈阳发动机研究所,沈阳 110015
^††利物浦大学工程学院,英国利物浦 L693GQ
^***南京理工大学机械工程学院,南京 210094
^†††西安交通大学机械工程学院,西安 710054

基金项目: 1) 国家自然科学基金(51505070);国家自然科学基金(51970530);国家自然科学基金(U1708257);中央高校基本科研业务费专项资金(N160313002);中央高校基本科研业务费专项资金(N160312001);中央高校基本科研业务费专项资金(N170302001);中央高校基本科研业务费专项资金(N180302004);中央高校基本科研业务费专项资金(N180703018);中央高校基本科研业务费专项资金(N180312012);中央高校基本科研业务费专项资金(N180313006);装备预研重点实验室基金(6142905192512)

详细信息

作者简介:
2) 李晖,副教授,研究方向：复合材料结构动力学. E-mail： lh200300206@163.com

通讯作者:
李晖

中图分类号: V257,O313.4
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出版历程
- 收稿日期: 2020-05-16
- 刊出日期: 2020-12-10

A DYNAMIC RESPONSE PREDICTION MODEL OF FIBER-METAL HYBRID LAMINATED PLATES EMBEDDED WITH VISCOELASTIC DAMPING CORE UNDER LOW-VELOCITY IMPACT EXCITATION

Li Zelin^*,†,
Li Hui^{*,†,**,2)
, ,},
Wang Dongsheng^*,†,
Ren Chaohui^*,†,
Zu Xudong^††,***,
Zhou Jin^{††,†††},
Guan Zhongwei^††,
Wang Xiangping^**

^*School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110819,China
^†Key Laboratory of Vibration and Control of Aeronautical Power Equipment of the Ministry of Education, Northeastern University,Shenyang 110819, China
^**AECC Shenyang Engine Research Institute,Shenyang 110015, China
^††School of Engineering,University of Liverpool,Liverpool L693GQ,UK
^***School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China
^†††School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710054,China

摘要

摘要: 本文首次从解析角度建立了低速冲击激励下嵌入黏弹性阻尼芯层的纤维金属混杂层合板动态响应预测模型. 首先,结合经典层合板理论和冯$\cdot$卡门假设,建立了嵌入黏弹性芯层的纤维金属混杂层合板弹性损伤本构关系. 然后,将层合板受冲击时的变形分成接触和拉伸两个区域,在接触区域内,对金属层采用 Von Mises 失效准则,纤维层采用 Tsai-Hill 失效准则和对黏弹性层采用指数 Drucker-Prager 失效准则判断层合板损伤情况. 考虑不同材料层对冲击动态响应的贡献来修正两个变形区域的位移公式,进而计算结构因弹性变形产生的应变能,以及接触区域因塑性变形消耗的能量,实现每次失效事件发生后各层材料的能量、位移和冲击接触力的理论求解,并给出了结构动态响应分析的具体流程图. 最后,以嵌入 Zn33 黏弹性芯层的 TA2 钛合金混杂 T300 碳纤维/树脂层合板为研究对象,开展落锤冲击实验. 验证结果表明,理论预测与测试获得的冲击接触力、位移响应以及冲击载荷-位移曲线吻合较好,且关注的峰值点计算误差最大不超过 9%,进而验证了所提出的理论模型的有效性.
- 低速冲击 /
- 黏弹性阻尼芯层 /
- 纤维金属层合板 /
- 动态响应 /
- 失效准则
Abstract: A dynamic response prediction model of fiber-metal hybrid laminated plates embedded with a viscoelastic damping core under low-velocity impact excitation is established analytically for the first time in this research. Firstly, based on the classical laminates theory and von Kármán theory, the constitutive relation of elastic damage of fiber-metal hybrid laminated plates embedded with a viscoelastic damping core is established. Then, the deformation of laminated plates under impact is divided into contact and stretching areas. Within the contact areas, Von Mises failure criteria are used for metal layers, Tsay-Hill failure criteria for fiber layers and Drucker-Prager failure criteria for viscoelastic layer to determine the damage of laminated plates. Considering the contribution of different material layers to the dynamic response subjected to the impact load for modifying the displacement formula, the theoretical solutions of energy, displacement and impact contact force in each layer of such laminated plates are obtained after each failure event occurs, and gives the flow chart of structure dynamic response analysis of concrete. Finally, a TA2 titanium alloy and T300 fiber/epoxy hybrid plate embedded with the Zn33 viscoelastic core is taken as the research object to carry out the drop-weight impact test. The theoretical prediction results of the impact contact force, displacement response, and impact load-displacement curve are found to agree well with the measured ones. Besides, the maximum calculation errors of the concerned peaks are less than 9%. Thus, the effectiveness of the proposed theoretical model has been verified.
- low-velocity impact /
- viscoelastic damping core /
- fiber-metal laminates /
- dynamic response /
- failure criteria

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参考文献(1)

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