Vibration Transmissibility And Energy Dissipation Model Of Honeycomb Paperboard

Honeycomb paperboard is a kind of cushioning material with non-metallic porous sandwich structure.It has good cushioning and anti-vibration performance and is widely used in the field of product protection and packaging engineering.In this paper,the analytic formula of natural frequency for honeycomb paperboard and block system was researched by analytic method and finite element method.The calculation of vibration damping energy dissipation of system was presented.The influence rules of honeycomb structural parameters and block mass on the natural frequency and energy dissipation of the system were analyzed.The main researches are as follows:Firstly,tensile test was carried out on the base paper of honeycomb paperboard;static compression test and vibration transmissibility test were carried out on honeycomb paperboard.The engineering constants and mechanical properties of the material were obtained,which provided experimental support for finite element analysis and theoretical analysis.Secondly,the analytical formula of natural frequency for honeycomb paperboard and block system was derived based on the single degree of freedom linear system theory,which is related to the structural parameters of honeycomb and mass of block.The formula shows that the natural frequency of the honeycomb paperboard-block system is related to the bearing area of paperboard,the thickness of paperboard,the elastic modulus of base paper,the thickness of base paper,the cell length of honeycomb and mass of block.Thirdly,the finite element model of honeycomb paperboard was established,and the out-of-plane compression property was simulated and analyzed to verify the reliability of finite element model and the test results of material engineering constants.On this basis,the vibration finite element model of honeycomb paperboard and block system was established,and the modal analysis was carried out to obtain the modifying factor of the analytical formula.The analytical results of natural frequency for the system were verified by experiments and influence rules of honeycomb structural parameters and block mass on the natural frequency of the system was further studied based on the analytical formula.The results show that the natural frequencies of the system decrease with the increase of honeycomb cell length,paperboard thickness and block mass.Finally,the damping property of honeycomb paperboard was evaluated and the vibration transmissibility curve of honeycomb paperboard was characterized.On this basis,the calculation of damping energy dissipation in the vibration process of honeycomb paperboard and block system was explored and the influence rules of honeycomb cell length,paperboard thickness and block mass on the damping property of honeycomb paperboard and damping energy dissipation of system were analyzed.The results show that the vibration transmissibility curve of honeycomb paperboard can be divided into three regions(plateau region,amplification region and attenuation region).The vibration transmissibility ratio in different regions can be expressed as functions of frequency.The effect of honeycomb structural parameters on energy dissipation in each area of honeycomb paperboard-block system is the same as that of total energy dissipation in vibration process.The block mass has little effect on the energy dissipation in the plateau region and on the total energy dissipation,but has a greater impact on the energy dissipation in the amplification and attenuation regions.