| 摘要: |
| 目的 研究蜂窝纸板的静态力学行为。方法 对蜂窝纸板试样进行压缩-恢复实验， 用多项式表达试样的弹性力， 用分数阶微分模拟试样的黏弹性力。考虑到试样变形和弹性力的对称性， 根据压缩和恢复阶段的黏弹性力之差， 利用信赖域方法识别试样的黏弹性参数， 再进行试样的弹性特性参数识别。结果 实验与模拟结果对比表明， 提出的模型可准确模拟蜂窝纸板的力学行为， 最大响应误差不超过7%。结论 可利用三次多项式和五参数粘弹性模型分析蜂窝纸板的静态特性， 为分析静态条件下蜂窝纸板的力学特性， 研究蜂窝纸板的应力和应变的时变特性， 优化包装设计方法提供了参考。 |
| 关键词: 蜂窝纸板 黏弹性 分数阶微分 参数识别 |
| DOI： |
| 分类号:TB484.1 |
| 基金项目:甘肃省高校科研项目 （2014A-049）；甘肃省科技支撑计划 （1304FKCA089） |
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| Modelling for Static Elasticity and Viscoelasticity of Honeycomb Paperboard and Parameters Identification |
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ZHU Da-peng
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Lanzhou Jiaotong University，Lanzhou 730070，China
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| Abstract: |
| The experiment studied quasi-static mechanical properties of honeycomb paperboard. A compressionrecovery experiment was performed on the honeycomb paperboard specimen, a polynomial was used to model the elastic force, while the viscoelasticity was modeled by fractional derivative. Because of the symmetries in the imposed deformation time history, the force difference between the loading and unloading process was only affected by the viscoelastic parameters. A viscoelastic parameter identification method was presented based on the force difference data and trust region method, the elastic parameters were also identified by using the least-square method. The comparison of the experimental data with the simulation indicated the model presented in this paper can reproduce the static behavior of honeycomb, the maximum error was no more than 7%. The 3-order polynomial and 5-parameter viscoelastic model can be used to simulate the static mechanical properties of honeycomb paperboard. The model presented in this paper provided theoretical basis for the analysis of mechanical properties and stress-stain time-dependent properties of honeycomb paperboard and for the packaging design method optimization. |
| Key words: honeycomb paperboard viscoelasticity fractional derivative parameter identification |
