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

被引：0
|
作者：
Teng X. [1 ]
Feng G. [1 ]
Jiang X. [2 ]
Zhao H. [1 ]
机构：
[1] Mechanical and Electrical Engineering College, Harbin University of Engineering, Harbin
[2] Mechanical Power and Engineering College, Harbin University of Science and Technology, Harbin
来源：
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica | 2019年 / 40卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Beam with free layer damping; Energy density; Energy flow analysis; Equivalent complex stiffness model; High-frequency vibration;
D O I：
10.7527/S1000-6893.2018.22616
中图分类号：
学科分类号：
摘要：
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. © 2019, Press of Chinese Journal of Aeronautics. All right reserved.
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  • [1] Mace B.R., Shoter P.J., Energy flow models from finite element analysis, Journal of Sound and Vibration, 233, 3, pp. 369-389, (2003)
  • [2] Cai Z.Y., Tang W.Y., Zhang S.K., Application of energy finite element method in vibration analysis of composite laminated beam structures, Journal of Vibration and Shock, 29, 10, pp. 23-27, (2010)
  • [3] Kong X.J., Chen H.L., Zhu D.H., Et al., Energy finite element analysis for high frequency vibration of beams with free layer damping treatment, Journal of Vibration and Shock, 34, 17, pp. 94-99, (2015)
  • [4] Wang D., Zhu X., Li T.Y., Et al., Vibration analysis of a FGM beam based on energy finite element, Journal of Vibration and Shock, 37, 3, pp. 119-124, (2018)
  • [5] Han J.B., Hong S.Y., Song J.H., Et al., Vibrational energy flow models for the 1-D high damping system, Journal of Mechanical Science and Technology, 27, 9, pp. 2659-2671, (2013)
  • [6] Han J.B., Hong S.Y., Song J.H., Et al., Vibrational energy flow models for the Rayleigh-Love and Rayleigh-Bishop rods, Journal of Sound and Vibration, 333, 2, pp. 520-540, (2014)
  • [7] Ge Y., Niu J.C., Liu Z.H., On energy transmission characteristics of coupled plates with arbitrary coupling angles to multiple types of excitation, Journal of Mechanical Engineering, 53, 7, pp. 94-103, (2017)
  • [8] Sun L.P., Niu W.N., Application of energy finite element method in ship structures, Journal of Harbin Institute of Technology, 40, 9, pp. 1491-1494, (2008)
  • [9] Zhong H.W., Chen H.B., Wang Y.Y., Unstructured zero-order energy finite element method for coupled plate structures, Journal of Vibration and Shock, 34, 13, pp. 140-145, (2015)
  • [10] Navazi H.M., Nokhbatolfoghahaei A., Ghobad Y., Et al., Experimental measurement of energy density in a vibrating plate and comparison with energy finite element analysis, Journal of Sound and Vibration, 375, pp. 289-307, (2016)
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