Experimental Study on Vibration Transmissibility Properties of Honeycomb Paperboard

Gao Quanfu1, Zhu Dapeng*, 2, Cao Xingxiao1
1 School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R. China
2 School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, 730070, P.R. China

© 2014 Gao et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


The vibration transmissibility properties of a honeycomb paperboard are investigated by experiments. The analysis of the steady-state response of mass loaded honeycomb paperboard system to harmonic base excitation is presented in this paper. An experiment system is formulated and the vibration transmissibility data are obtained under different base excitation amplitude conditions. According to the transmissibility experiments data, we can assume that both the stiffness and damping properties are nonlinear. The hysteresis loops of the honeycomb paperboard-mass system are experimentally obtained, and are used to investigate the stiffness and damping properties of the system. The honeycomb paperboard’s uni-directional vibration transmissibility behavior is modeled by using nonlinear stiffness, the combination of velocity proportional damping and quadratic type nonlinear damping components. The parameters in the model are identified by use of one-term harmonic balance method and the parameters under different load condition are presented. The model and the parameters in this paper can be used to simulate the transmissibility-frequency curves accurately. The model can be used for understanding the vibration transmissibility behaviors of the honeycomb paperboard, and the simulated transmissibility-frequency curves can be used for the packaging design.

Keywords: Honeycomb paperboard, nonlinearity, parameters identification, vibration transmissibility properties modeling.