A design sensitivity analysis of bicycle stability and experimental validation
- PDF / 1,326,258 Bytes
- 8 Pages / 595.22 x 842 pts (A4) Page_size
- 0 Downloads / 185 Views
DOI 10.1007/s12206-020-0803-2
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0803-2 Keywords: · Bicycle dynamics · Bicycle stability · Self-balancing · Sensitivity analysis
Correspondence to: Tae-oh Tak [email protected]
Citation: Zhang, S., Tak, T. (2020). A design sensitivity analysis of bicycle stability and experimental validation. Journal of Mechanical Science and Technology 34 (9) (2020) ?~?. http://doi.org/10.1007/s12206-020-0803-2
Received December 8th, 2019 Revised
May 22nd, 2020
Accepted June 23rd, 2020 † Recommended by Editor No-cheol Park
A design sensitivity analysis of bicycle stability and experimental validation Sheng-peng Zhang and Tae-oh Tak School of Mechanical and Biomedical Engineering, Kangwon National University, Chuncheon City, Kangwon-do 24341, Korea
Abstract
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.
1. Introduction
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Ever since the invention of the bicycle, balancing has been a subject of scientific study for many researchers [1]. Bicycle balancing can be categorized into two groups according to its nature: rider-controlled balancing and uncontrolled-bicycle self-balancing. A rider can balance a forward-moving bicycle by turning the front wheel in the direction of the lean, which moves the tire contact points with the ground in the same direction, consequently similar to balancing an inverted pendulum [2]. In addition, the centrifugal force contributes to balancing because of the circular motion. Moreover, uncontrolled bicycles can balance themselves withi
Data Loading...
