附加自由阻尼板高频振动响应的能量流模型  

Energy flow model for a high-frequency vibrating plate with free-layer damping treatment

作　　者：江旭东[1] 韩月东 滕晓艳[2] JIANG Xudong;HAN Yuedong;TENG Xiaoyan(School of Mechanical and Power Engineering,Harbin Science and Technology University,Harbin 150080,China;College of Mechanical and Electrical Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨理工大学机械动力工程学院,哈尔滨150080 [2]哈尔滨工程大学机电工程学院,哈尔滨150001

出　　处：《振动与冲击》2023年第14期321-330,共10页Journal of Vibration and Shock

基　　金：国家自然科学基金(52175502,51505096);黑龙江省自然科学基金联合引导项目(LH2020E064)。

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法(energy finite element method,EFEM)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。To predict the high-frequency vibrational responses of a plate with free layer damping(FLD)treatment,the energy density equation considering high damping effect was derived by using the energy flow analysis(EFA)method combined with the complex stiffness method.The wave transmission analysis was performed for clarifying the power transfer relation at discontinuous interfaces of the FLD.Then the energy density equation of a plate with partial FLD treatment was also established based on the EFA of coupled plates.The energy finite element method(EFEM)was employed to solve the derived energy density equations of the plates with full or partial FLD treatment.The simulated results obtained by the EFEM were compared with those obtained by the modal superposition method.The results demonstrate that the proposed EFA model can predict the energy density of the high-frequency vibrating plate with FLD treatment with reasonable accuracy.

关 键 词：能量流分析 自由阻尼结构 能量有限元法(EFEM) 高频振动 

分 类 号：TB123[理学—工程力学]