自由阻尼梁高频能量流响应的解析模型

doi:10.7527/S1000-6893.2018.22616

固体力学与飞行器总体设计

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自由阻尼梁高频能量流响应的解析模型

滕晓艳¹, 丰国宝¹, 江旭东², 赵贺桃¹

1. 哈尔滨工程大学机电工程学院, 哈尔滨 150001;
2. 哈尔滨理工大学机械动力工程学院, 哈尔滨 150080

收稿日期:2018-08-20 修回日期:2018-11-12 出版日期:2019-04-15 发布日期:2019-04-19
通讯作者: 江旭东 E-mail:xudongjiang@sina.com
基金资助:
国家自然科学基金（51505096）；黑龙江省自然科学基金（QC2016056）

Analytical model of high-frequency energy flow response for a beam with free layer damping

TENG Xiaoyan¹, FENG Guobao¹, JIANG Xudong², ZHAO Hetao¹

1. Mechanical and Electrical Engineering College, Harbin University of Engineering, Harbin 150001, China;
2. Mechanical Power and Engineering College, Harbin University of Science and Technology, Harbin 150080, China

Received:2018-08-20 Revised:2018-11-12 Online:2019-04-15 Published:2019-04-19
Supported by:
National Natural Science Foundation of China (51505096); Natural Science Foundation of Heilongjiang Province (QC2016056)

摘要/Abstract

摘要： 针对自由阻尼梁的高频振动问题，基于波动理论提出了大阻尼复合结构的能量流解析模型。利用等效复刚度方法确定了完全自由阻尼梁结构的等效弯曲刚度和损耗因子，基于能量流分析方法构建了结构的能量密度控制方程，求解了结构的高频能量流响应。分析了弯曲波在阻尼结构耦合处的能量传递特性，构建了局部自由阻尼梁的高频能量流解析模型，预测了大阻尼耦合结构的高频振动特性。数值结果表明，提出的能量流解析解与经典的时空平均波动解一致逼近，因而能够精确地预测自由阻尼梁等大阻尼复合结构的高频能量流响应。

关键词: 自由阻尼梁, 能量流分析, 等效复刚度法, 能量密度, 高频振动

Abstract: An analytical energy flow model based on wave theory is proposed to predict the vibration of large damping composite structures such as a beam with free layer damping in the high-frequency range. Using the equivalent complex stiffness model, both equivalent flexural stiffness and structural loss factor of a beam with free layer damping are obtained. Then the corresponding energy density equation is derived for a beam with full free layer damping by energy flow analysis. By analyzing the energy transfer char-acteristic at the interface of damping treatment, an analytical model for the energy flow response of a beam with partial free layer damping is developed to predict the vibrating characteristics of the coupled large damping structure. Various numerical analyses show that the energy density obtained by the proposed model is in a good agreement with that by the classic wave model with time-and space-average treatment. Consequently, the present model can be employed to accurately predict the structural energy flow response to high-frequency excitation for large damping composite structures such as a beam with free layer damping.

Key words: beam with free layer damping, energy flow analysis, equivalent complex stiffness model, energy density, high-frequency vibration

中图分类号:

V214.3
TB122

滕晓艳, 丰国宝, 江旭东, 赵贺桃. 自由阻尼梁高频能量流响应的解析模型[J]. 航空学报, 2019, 40(4): 222616-222616.

TENG Xiaoyan, FENG Guobao, JIANG Xudong, ZHAO Hetao. Analytical model of high-frequency energy flow response for a beam with free layer damping[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(4): 222616-222616.

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自由阻尼梁高频能量流响应的解析模型

Analytical model of high-frequency energy flow response for a beam with free layer damping

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