Stability analysis of bicycles by means of analytical models with increasing complexity
<p>The basic Whipple-Carvallo bicycle model for the study of stability takes into account only geometric and mass properties. Analytical bicycle models of increasing complexity are now available, they consider frame compliance, tire properties, and rider posture. From the point of view of the...
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doaj-54ae12b91f2b4cc998ce0e3bc3d4b76b2020-11-25T01:28:16ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2019-06-011022924110.5194/ms-10-229-2019Stability analysis of bicycles by means of analytical models with increasing complexityA. Doria0S. Roa1L. Muñoz2Department of Industrial Engineering, University of Padova, Padova, 35131, ItalyDepartment of Mechanical Engineering, Universidad de los Andes, Bogota, 111711, ColombiaDepartment of Mechanical Engineering, Universidad de los Andes, Bogota, 111711, Colombia<p>The basic Whipple-Carvallo bicycle model for the study of stability takes into account only geometric and mass properties. Analytical bicycle models of increasing complexity are now available, they consider frame compliance, tire properties, and rider posture. From the point of view of the designer, it is important to know if geometric and mass properties affect the stability of an actual bicycle as they affect the stability of a simple bicycle model. This paper addresses this problem in a numeric way by evaluating stability indices from the real parts of the eigenvalues of the bicycle's modes (i.e., weave, capsize, wobble) in a range of forward speeds typical of city bicycles. The sensitivity indices and correlation coefficients between the main geometric and mass properties of the bicycle and the stability indices are calculated by means of bicycle models of increasing complexity. Results show that the simpler models correctly predict the effect of most of geometric and mass properties on the stability of the single modes of the bicycle. Nevertheless, when the global stability indices of the bicycle are considered, often the simpler models fail their prediction. This phenomenon takes place because with the basic model some design parameters have opposite effects on the stability of weave and capsize, but, when tire sliding is included, the capsize mode is always stable and low speed stability is chiefly determined by weave stability.</p>https://www.mech-sci.net/10/229/2019/ms-10-229-2019.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Doria S. Roa L. Muñoz |
spellingShingle |
A. Doria S. Roa L. Muñoz Stability analysis of bicycles by means of analytical models with increasing complexity Mechanical Sciences |
author_facet |
A. Doria S. Roa L. Muñoz |
author_sort |
A. Doria |
title |
Stability analysis of bicycles by means of analytical models with increasing complexity |
title_short |
Stability analysis of bicycles by means of analytical models with increasing complexity |
title_full |
Stability analysis of bicycles by means of analytical models with increasing complexity |
title_fullStr |
Stability analysis of bicycles by means of analytical models with increasing complexity |
title_full_unstemmed |
Stability analysis of bicycles by means of analytical models with increasing complexity |
title_sort |
stability analysis of bicycles by means of analytical models with increasing complexity |
publisher |
Copernicus Publications |
series |
Mechanical Sciences |
issn |
2191-9151 2191-916X |
publishDate |
2019-06-01 |
description |
<p>The basic Whipple-Carvallo bicycle model for the study of
stability takes into account only geometric and mass properties. Analytical
bicycle models of increasing complexity are now available, they consider
frame compliance, tire properties, and rider posture. From the point of view
of the designer, it is important to know if geometric and mass properties
affect the stability of an actual bicycle as they affect the stability of a
simple bicycle model. This paper addresses this problem in a numeric way by
evaluating stability indices from the real parts of the eigenvalues of the
bicycle's modes (i.e., weave, capsize, wobble) in a range of forward speeds
typical of city bicycles. The sensitivity indices and correlation
coefficients between the main geometric and mass properties of the bicycle
and the stability indices are calculated by means of bicycle models of
increasing complexity. Results show that the simpler models correctly
predict the effect of most of geometric and mass properties on the stability
of the single modes of the bicycle. Nevertheless, when the global stability
indices of the bicycle are considered, often the simpler models fail their
prediction. This phenomenon takes place because with the basic model some
design parameters have opposite effects on the stability of weave and
capsize, but, when tire sliding is included, the capsize mode is always
stable and low speed stability is chiefly determined by weave stability.</p> |
url |
https://www.mech-sci.net/10/229/2019/ms-10-229-2019.pdf |
work_keys_str_mv |
AT adoria stabilityanalysisofbicyclesbymeansofanalyticalmodelswithincreasingcomplexity AT sroa stabilityanalysisofbicyclesbymeansofanalyticalmodelswithincreasingcomplexity AT lmunoz stabilityanalysisofbicyclesbymeansofanalyticalmodelswithincreasingcomplexity |
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1725102653233430528 |