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A design sensitivity analysis of bicycle stability and experimental validation
Journal of Mechanical Science and Technology ( IF 1.6 ) Pub Date : 2020-09-03 , DOI: 10.1007/s12206-020-0803-2
Sheng-peng Zhang , Tae-oh Tak

In this study, the sensitivities of weave and capsize speeds with respect to design parameters were calculated on the basis of the linear forms of uncontrolled-bicycle dynamic equations. The significance of the design parameters and the way in which the stable speed range is changed were determined by analyzing the sensitivity curves. Among the seven important parameters (out of 25), head angle was found to be the most dominant, followed by the diameter of front wheel, mass, and moment of inertia, demonstrating the importance of front side design to bicycle stability. The procedure for predicting the stable speed range using sensitivity information was also investigated. When a single parameter was changed, the stable range was determined by that parameter, whereas when multiple parameters were changed, the stable range was determined by summing all the contributions from each parameter. The weave speeds in the nominal and changed configurations yielding the lowest values were measured using an experimental bicycle of variable configuration. A comparison of the measured and predicted values of weave speeds showed a good correlation, demonstrating the validity of the sensitivity-based stability analysis. This study used a novel procedure for predicting the stable speed range through the sensitivity analysis of design parameters related to bicycle stability and validation of the stable speed range with experiment.



中文翻译:

自行车稳定性的设计敏感性分析和实验验证

在这项研究中,基于不受控制的自行车动力学方程的线性形式,计算了织造速度和翻覆速度对设计参数的敏感性。通过分析灵敏度曲线,确定了设计参数的重要性以及改变稳定速度范围的方式。在七个重要参数中(共25个),头角被认为是最主要的,其次是前轮的直径,质量和惯性矩,这表明前侧设计对自行车稳定性的重要性。还研究了使用灵敏度信息预测稳定速度范围的过程。更改单个参数时,稳定范围由该参数确定,而更改多个参数时,通过将每个参数的所有贡献相加来确定稳定范围。使用可变配置的实验自行车测量了在标称配置和更改配置中产生最低值的编织速度。织造速度的测量值和预测值的比较显示出良好的相关性,证明了基于灵敏度的稳定性分析的有效性。这项研究采用了一种新颖的方法,通过对与自行车稳定性相关的设计参数进行敏感性分析并通过实验验证了稳定速度范围,从而预测了稳定速度范围。织造速度的测量值和预测值的比较显示出良好的相关性,证明了基于灵敏度的稳定性分析的有效性。这项研究采用了一种新颖的方法,通过对与自行车稳定性相关的设计参数进行敏感性分析并通过实验验证了稳定速度范围,从而预测了稳定速度范围。织造速度的测量值和预测值的比较显示出良好的相关性,证明了基于灵敏度的稳定性分析的有效性。这项研究采用了一种新颖的方法,通过对与自行车稳定性相关的设计参数进行敏感性分析并通过实验验证了稳定速度范围,从而预测了稳定速度范围。

更新日期:2020-09-03
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