蜂窝纸板的黏弹性建模与动态参数识别

中国机械工程 ›› 2011, Vol. 22 ›› Issue (22): 2672-2677.

蜂窝纸板的黏弹性建模与动态参数识别

朱大鹏1,2;周世生1

1.西安理工大学,西安,710048

2.兰州交通大学,兰州,730070

出版日期:2011-11-25 发布日期:2011-12-12
基金资助:
甘肃省自然科学基金资助项目(1014RJZA047)
Gansu Provincial Natural Science Foundation of China（No. 1014RJZA047）

Modeling for Viscoelastic Property of Honeycomb Paperboard and Dynamic Parameter Identification

Zhu Dapeng1,2;Zhou Shisheng1

1.Xi'an University of Technology,Xi'an,710048;

2.Lanzhou Jiaotong University,Lanzhou,730070

Online:2011-11-25 Published:2011-12-12
Supported by:
Gansu Provincial Natural Science Foundation of China（No. 1014RJZA047）

摘要/Abstract

摘要：

对蜂窝纸板的黏弹性进行了建模,将松弛核表示为指数函数叠加的形式,并对蜂窝纸板-质量系统在冲击激励下的动态特性进行了建模。采用改进的Prony方法识别出自由响应数据的极点和留数，并建立了识别蜂窝纸板-质量系统动态参数的方法。设计了蜂窝纸板-质量系统冲击响应实验系统，并根据实验数据对蜂窝纸板动态参数进行了识别。

关键词:

蜂窝纸板, 黏弹性, 改进的Prony方法, 参数识别

Abstract:

A model of viscoelastic property of honeycomb paperboard was presented,the relaxation kernel was expressed as the sum of exponentials.A model for the dynamic properties of honeycomb paperboard under shock condition was formulated.The signal poles and residues of free response data were obtained

by use of modified Prony method.A dynamic properties parameter identification method was presented based on the signal poles and residues.A shock response experimental system was set up to investigate the shock response of the mass loaded honeycomb paperboard, the free response data were recorded and the dynamic property parameters were identified and presented.

Key words: honeycomb paperboard, viscoelastic property, modified Prony method, parameter identification

中图分类号:

O328
TB485.3

朱大鹏1, 2, 周世生1.

蜂窝纸板的黏弹性建模与动态参数识别

[J]. 中国机械工程, 2011, 22(22): 2672-2677.

SHU Da-Feng-1, 2, ZHOU Shi-Sheng-1.

Modeling for Viscoelastic Property of Honeycomb Paperboard and Dynamic Parameter Identification

[J]. China Mechanical Engineering, 2011, 22(22): 2672-2677.

参考文献

[1]Guo Y F,Zhang J H. Shock Absorbing Characteris- tics and Vibration Transmissibility of Honeycomb Paperboard[J]. Shock and Vibration, 2004,11 ( 5 ) : 521-531.
[2]郭彦峰,张景绘.蜂窝纸板动态缓冲特性及振动传递特性的试验研究[J].西安交通大学学报:539-541.
[3]王冬梅[1],王志伟[2].纸蜂窝压缩密实化应变评估[J].机械工程学报:285-289.
[4]Wang D M, Wang Z W. Experimental Investigation into the Cushioning Properties of Honeycomb Pa- perboard[J]. Packaging Technology and Science, 2008,21(1) : 309-316.
[5]Wang D M. Impact Behavior and Energy Absorption of Paper Honeycomb Sandwich Panels[J]. Interna- tional Journal of Impact Engineering, 2009,36 (1) : 110-114.
[6]Lu L X,Sun Y P,Wang Z W. Critical Buckling Load of Paper Honeycomb under Out--of--plane Pres- sure[J]. Packaging Technology and Science, 2005, 18(2) : 141-150.
[7]Kobayashi H, Daimaruya M. Dynamic and Static Compression Tests for Paper Honeycomb Cores and Absorbed Energy[J] JSME International Journal, 1998,41 (3) : 338-344.
[8]宋俊杰[1],尹志宏[1],彭键林[1].基于Marc的蜂窝纸芯力学性能研究[J].振动与冲击,2008,27(9):164-166.
[9]Wang Z W. Mathematical Modeling of Energy Ab- sorption Property for Paper Honeycomb in Various Ambient Humidities [J]. Materials and Design, 2010,31(9) :4321-4328.
[10]E Y P,Wang Z W. Plateau Stress of Paper Honey- comb as Response to Various Relative Humidities [J]. Packaging Technology and Science, 2009, 23 (4) ..203-216.
[11]王冬梅[1].纸蜂窝芯结构的比较[J].包装世界,2006(4):38-40.
[12]Vorspohl K, Mertes J, Zschiesche R, et al. Time Dependence of Hardness of Cold Cure Molded Flexible Foams and Its Importance for System De- velopment[J]. Journal of Cellular Plastics, 1994, 30(4) :361-373.
[13]Bert C W. Material Damping:An Introductory Re- view of Mathematical Models, Measures and Ex- perimental Techniques[J]. Journal of Sound and Vibration, 1973,29 (2) : 129-153.
[14]Muravyov A. Analytical Solutions in the Time Do- main for Vibration Problems of Siscrete Viscoe- lastic Systems[J]. Journal of Sound and Vibra- tion, 1997,199 (2) :337-348.
[15]张贤达著.现代信号处理[M],1995:590.
[16]Golub G H,van Loan C F. An Analysis of the To-tal Least Squares Problem [J]. SIAM Journal of Numerical Analysis,1980,17(6) :883-893.
[17]Golub G, Kahan W. Calculating the Singular Val- ues and Psedo- inverse of a Matrix[J]. SIAM Journal of Numerical Analysis, 1980, 2 (2) : 205- 224.
[18]Marple S L. Digital Spectral Analysis with Appli- cations[M]. Englewood Cliffs, NJ : Prentice-- hall, 1987.