蜂窝纸板振动传递特性关系的研究

Study on Vibration Transmission Characteristics of Honeycomb Paperboard

中文关键词:  蜂窝纸板  振动传递率  频率  有限元  多重循环实验

Key Words:honeycomb paperboard  vibration transmission rate  frequency  finite element  multi-cycle experiment

中文摘要:

      为快速获取蜂窝纸板振动传递特性曲线的峰值数据，开展振动仿真实验；研究蜂窝纸板孔径、砝码与蜂窝纸板的接触面积、纸板厚度、砝码质量4个变量与振动传递率及其对应频率的关系；通过多项式拟合得到变量-频率和变量-振动传递率2个关系式，并评估所得关系式的预测准确性。结果表明，用于表示关系式拟合精度的R²分别为0.997和0.991，表示其预测精度的R²分别为0.996和0.969；R²均接近1，说明所得关系式的拟合、预测准确度均较高。对11种优化算法的拟合结果进行对比，发现麦夸特法+通用全局优化法的拟合精度最高。本课题所提出的方法可在一定环境条件下、设定的参数范围内进行振动传递率-频率曲线关键数据的有效预测，可以降低实操中的实验工作量。

Abstract:

      Vibration simulation experiments were carried out to obtain the peak value data of the vibration transmission characteristic curves of honeycomb paperboard in this study. Relationships between the four variables （i.e.， honeycomb paperboard aperture， contact area between weights and honeycomb paperboard， paperboard thickness， and weight of weights） and the frequency and corresponding vibration transmission rate were studied. Correlations of variable-frequency and variable-vibration transmission rate were obtained by polynomial fitting and the prediction accuracy of the two correlations was evaluated. The results showed that R² for fitting accuracy of the two correlations were 0.997 and 0.991， respectively； R² for prediction accuracy were 0.996 and 0.969， respectively； indicating that the accuracies of fitting and prediction were relatively high. By comparing the fitting results of 11 optimization algorithms， the Mcquard method+general global optimization method was determined to have the highest fitting accuracy. The method proposed in this study could effectively predict the key data of the vibration transmission rate-frequency curve within the set parameter range under certain environmental conditions， and reduce experimental workloads in practical operations.