粘弹结构模态损耗因子分析的修正模态应变能法

doi:10.3969/j.issn.1000-1093.2016.01.023

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

粘弹结构模态损耗因子分析的修正模态应变能法

孙宝¹，孙大刚¹，李占龙²，燕碧娟¹，王军¹

(1.太原科技大学机械工程学院山西太原 030024; 2.西安理工大学机械与精密仪器工程学院陕西西安 710048)

收稿日期:2015-05-08 修回日期:2015-05-08 上线日期:2016-03-23
通讯作者: 孙宝 E-mail:bao810321@163.com
作者简介:孙宝（1981—）男，讲师，博士研究生
基金资助:
国家自然科学基金项目（51305288、51405323）；山西省青年科学基金项目（2013021020-1）

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.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

摘要/Abstract

摘要： 为了研究粘弹结构的阻尼特性，采用传统变形能理论建立了粘弹结构结构损耗因子的计算模型，并对相关阻尼参数进行了优化分析；通过研究传统模态应变能法与已有3种改进方法的原理及其相互关系，提出了一种新的修正模态应变能方法，新方法中修正因子随不同阶次模态损耗因子的幅值而变化。以一种四参数原型系统为依据，通过对4种模态应变能法的误差分析表明新修正方法对结构损耗因子与固有频率的计算误差最小；选取两个算例，通过对结构损耗因子与固有频率采用修正模态应变能法、变形能法、传统模态应变能法及相关文献有限元法的计算结果表明：修正模态应变能法可以满足工程设计的要求，且计算误差最小；修正模态应变能法可为粘弹结构阻尼特性与结构设计及改进等领域的研究提供一定的理论参考。

关键词: 振动与波, 模态应变能法, 粘弹阻尼结构, 模态损耗因子, 固有频率

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

中图分类号:

TB153

孙宝，孙大刚，李占龙，燕碧娟，王军. 粘弹结构模态损耗因子分析的修正模态应变能法[J]. 兵工学报, 2016, 37(1): 155-164.

SUN Bao, SUN Da-gang, LI Zhan-long, YAN Bi-juan, WANG Jun. Modified Modal Strain Energy Method for Analysis of Modal Loss Factors of Viscoelastic Structure[J]. Acta Armamentarii, 2016, 37(1): 155-164.

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粘弹结构模态损耗因子分析的修正模态应变能法

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

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