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Acta Armamentarii ›› 2016, Vol. 37 ›› Issue (1): 155-164.doi: 10.3969/j.issn.1000-1093.2016.01.023

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Modified Modal Strain Energy Method for Analysis of Modal Loss Factors of Viscoelastic Structure

SUN Bao1, SUN Da-gang1, LI Zhan-long2, YAN Bi-juan1, WANG Jun1   

  1. (1.School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, Shanxi, China;2School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, Shaanxi, China)
  • Received:2015-05-08 Revised:2015-05-08 Online:2016-03-23
  • Contact: SUN Bao E-mail:bao810321@163.com

Abstract: In order to study the damping characteristics of viscoelastic structures, a calculation model of the viscoelastic structure structure loss factor is established using the traditional deformation energy method, and the optimized analysis is carried out on the relevant damping parameters. A modified modal strain method is proposed by analyzing the principles and correlation of the traditional modal strain method and several improved methods. In the proposed modified method, the modifying factor of the viscoelastic constrained damping structure changes with the amplitude of modal loss factor. The prototype system with four parameters is selected as the basis, and the calculated errors of the proposed modified modal strain method and other methods are analyzed, respectively. The results show that calculated error of the proposed method is the least. Two examples are selected to calculate the modal loss factor and natural frequency of the viscoelastic composite structure. The calculated results of the modified modal strain energy method, the deformation energy method, the traditional modal strain energy method and the finite element method show that the modified modal strain energy method can meet the requirements of engineering design, and the calculation error is the least. The modified modal strain energy method can provide a theoretical reference for the research on the damping characteristics of viscoelastic structures and structural design.

Key words: vibration and wave, modal strain energy method, viscoelastic damping structure, modal loss factor, natural frequency

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