蜂窝纸板动态特性建模与参数识别

Dynamic properties modeling and parameter identification for a honeycomb fibreboard

考虑到蜂窝纸板的结构和材料,将蜂窝纸板建模为具有粘弹性的线性材料,其松弛核表示为指数函数之和。建立了利用蜂窝纸板-质量系统自由响应数据进行参数识别的方法,首先利用改进的Prony方法求出自由响应数据的极点,根据该极点对蜂窝纸板的弹性系数,粘性系数和粘弹性系数进行识别。构造了蜂窝纸板-质量系统的自由响应实验系统,根据参数识别的方法,求出了不同载荷条件下的蜂窝纸板的弹性系数,阻尼系数和粘弹性系数。介绍了利用识别出的参数模拟蜂窝纸板-质量系统的自由响应的方法,模拟结果表明,利用该模型识别出的参数可准确预测蜂窝纸板-质量系统的自由响应,为蜂窝纸板在包装中的合理应用提供了设计的依据。

A honeycomb fibreboard was modeled as a linear material with viscoelastic property,taking its structure and material into account,its relaxation kernel was expressed as a sum of exponential functions.The parameter identification procedure was formulated using the free response data of a honeycomb fibreboard-mass system.Firstly,the signal poles of the free response data were obtained using the modified Prony method,the stiffness coefficient,the damping coefficient and the viscoelastic parameters of the system were identified using the signal poles.The experimental system for recording the free response data of the honeycomb fibreboard-mass system was developed,the parameter identification procedure was applied to the free response data,the stiffness coefficient,the damping coefficient and the viscoelastic parameters under different loading conditions could be obtained.The method to simulate the free response of the honeycomb fibreboard-mass system was deduced,the simulation results indicated the free response of the honeycomb fibreboard-mass system can be accurately predicted using the parameters identified from the dynamic property model proposed here,and the model can provide a design basis for the proper use of honeycomb fibreboard in packaging.