Honeycomb Paperboard Dynamic Properties Modeling and Parameters Identification through Use of Modified Prony Method

Abstract

A system identification technique is presented for estimation of parameters associated with the dynamic model of the mass loaded honeycomb paperboard system. The honeycomb paperboard is modeled as a linear material with viscoelastic property, whose constitutive law is expressed by an exponential hereditary relaxation kernel. The free response of the mass loaded honeycomb paperboard system is expressed as the sum of complex exponentials, the system poles and residues are identified by the modified Prony method, the parameters of the dynamic model are identified by a substitution strategy. An experiment system is fabricated to record the free response of the mass-material system. Finally, the parameters identification technique is applied to the experimental data to obtain the relevant stiffness, viscous and viscoelastic parameters associated with the system. Variations in values of these parameters as function of static load level is also investigated and presented. Honeycomb paperboard dynamic properties model and the parameters presented in this paper can provide theoretical and design basis for the proper use of honeycomb paperboard in packaging.