附加自由阻尼板高频振动响应的能量流模型

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摘要为了预示自由阻尼结构(free layer damping ,FLD)的高频振动响应，将复刚度法与能量流分析(energy flow analysis ,EFA)理论相结合，推导了大阻尼条件下高频振动自由阻尼板的能量密度方程。分析了阻尼交界面处的能量传递关系，利用耦合结构的能量流分析方法推导了局部附加阻尼处理的薄板结构的能量密度方程。基于上述能量密度方程，构建了完全/局部自由阻尼板的能量有限元模型，求解了阻尼层合结构的高频能量流响应。通过对比模态解析解与能量有限元模型的数值解，验证了所建立的自由阻尼板高频振动能量流模型的有效性。

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	江旭东1
	韩月东2
	滕晓艳2

关键词 ：能量流分析, 自由阻尼结构, 能量有限元, 高频振动

Abstract：To predict the high-frequency vibrational response for a plate with free layer damping (FLD) treatment, the energy density equation considering high damping effect was derived using energy flow analysis (EFA) method combined with complex stiffness method. Wave transmission analysis was performed for power transfer relation at discontinuous interface of FLD. Then the energy density equation for a plate with partial FLD treatment is also achieved by EFA of coupled plate. The energy finite element method (EFEM) was employed to solve the derived energy density equations for the plate with full or partial FLD treatment. Simulated results obtained by EFEM were compared with those obtained by modal superposition method, which were used as a reference. It demonstrates that the proposed EFA model can predict the energy density of the high-frequency vibrating plate with FLD treatment with reasonable accuracy.

Key words： vibration and wave gantry crane finite element analysis

收稿日期: 2022-05-11 出版日期: 2023-07-28

引用本文:

江旭东1，韩月东2，滕晓艳2. 附加自由阻尼板高频振动响应的能量流模型[J]. 振动与冲击, 2023, 42(14): 321-330.
JIANG Xudong1, HAN Yuedong2, TENG Xiaoyan2. Energy flow model for a high-frequency vibrating plate with free-layer damping treatment. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(14): 321-330.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I14/321

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