Viscoelastic Property of Honeycomb Paperboard and Dynamic Response Analysis

The creep experiment and the quasi-static are carried out to learn the properties of honeycomb paperboard roughly, the creep and hysteresis phenomena are important manifestations of honeycomb paperboard viscoelastic properties. In addition to the static and quasi-static effects, the viscoelastic property also influences the dynamic properties of honeycomb paperboard. A linear differential equation is adopted to account for the complexity of honeycomb paperboard dynamic properties. Base on the Laplace transform, the model for the honeycomb paperboard properties is formulated. The relaxation kernel is used to account for the viscoelasticity, and it is expressed as the sum of complex exponentials. The free response of the mass loaded honeycomb paperboard is analyzed based on the Laplace transform and substitution method, the free response of the viscoelastic system have multiple vibration modals. The forced response of the mass loaded honeycomb paperboard to general force function is analyzed based on the state-space approach. The simulation results indicates the viscoelasticity can provide more stiffness and damping forces than the equivalent single degree of freedom system.