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Modeling and performance analysis of convoluted air springs as a function of the number of bellows

机译：卷积空气弹簧的模型与性能分析作为波纹管数量的函数

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摘要

The article presents a novel mathematical model to analyze the performance of convoluted air springs (CAS) with different numbers of bellows. The proposed mathematical model considers both the effects of bellow's tensile deformation and the asymmetric structural features. Some key parameters such as effective area, volume, and their variation rates are derived based on geometric analysis to establish the analytical model of the vertical stiffness and maximum outer diameter. Three types of CAS with single, double, and triple bellows are designed and manufactured for testing the performances. The developed model presented in this paper is compared with another three analytical models based on different assumptions and simplified methods by comparing the estimated stiffness and maximum outer diameter. The comparison demonstrates that the proposed model in this paper has higher accuracy than that of the others and has a uniform formula as a function of the number of bellows to calculate performances of CAS. It is also shown that for the simplified model, ignoring the tensile deformation of the bellows or the asymmetry of the model will introduce large calculation errors for the stiffness up to 10.96%. The reasons for the estimated errors compared with experiment are analyzed at the end of the article.
机译：本文介绍了一种新的数学模型，分析了具有不同数量的波纹管的复杂的空气弹簧（CAS）的性能。所提出的数学模型考虑了波纹管拉伸变形和不对称结构特征的影响。基于几何分析来导出诸如有效区域，体积和变形率的一些关键参数，以建立垂直刚度和最大外径的分析模型。设计和制造了三种类型的CAS，具有单，双波纹管，用于测试性能。本文提出的开发模型与基于不同假设的另外三种分析模型和通过比较估计的刚度和最大外径来进行比较。比较表明，本文所提出的模型具有比其他模型更高的精度，并且具有均匀的公式作为计算CA的表演的波纹管数量的函数。还表明，对于简化的模型，忽略波纹管的拉伸变形或模型的不对称将引入大的计算误差，刚度高达10.96％。在物品结束时分析了与实验相比估计误差的原因。

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