Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance

Increasingly more people cycle with electrically-powered pedal assistance. The reduced pedalling effort attracts physically challenged people and seniors, who have a higher risk of falling. Since electric bicycles are heavier and the centre of masses are located higher, accidents happen easily. This...

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Main Authors: Sien Dieltiens, Frederik Debrouwere, Marc Juwet, Eric Demeester
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/16/5672
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author Sien Dieltiens
Frederik Debrouwere
Marc Juwet
Eric Demeester
author_facet Sien Dieltiens
Frederik Debrouwere
Marc Juwet
Eric Demeester
author_sort Sien Dieltiens
collection DOAJ
description Increasingly more people cycle with electrically-powered pedal assistance. The reduced pedalling effort attracts physically challenged people and seniors, who have a higher risk of falling. Since electric bicycles are heavier and the centre of masses are located higher, accidents happen easily. This study analyses the influence of the addition of a battery and motor unit on the stability behaviour of common bicycles for women. Based on market research, seven typical bicycle configurations are determined. Geometrics, mass values, and cycling postures are measured, and the theoretical stability behaviour is determined analytically based on the stability model of Whipple and Carvallo. The research shows that bicycles without pedal assistance have a smaller self-stable and semi-stable range than most electric bicycles. The electric bicycle with a motor implemented in the front wheel perform best, as the extra weight of the motor enhances the gyroscopic self-stabilization of the front wheel. Furthermore, a battery in the lower mid-tube is preferred over one in the luggage rack as it lowers the center of mass of the rear frame assembly. Knowledge about the optimal configuration to maximize the stability will enhance the cycling comfort and minimize the chance of accidents.
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spelling doaj.art-2e50d8b742a74684a31d10a49524a2ea2023-11-20T10:15:04ZengMDPI AGApplied Sciences2076-34172020-08-011016567210.3390/app10165672Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal AssistanceSien Dieltiens0Frederik Debrouwere1Marc Juwet2Eric Demeester3KU Leuven Technologie Campus Gent, 9000 Gent, BelgiumKU Leuven Campus Brugge, 8200 Brugge, BelgiumKU Leuven Technologie Campus Gent, 9000 Gent, BelgiumKU Leuven Campus Diepenbeek, 3590 Diepenbeek, BelgiumIncreasingly more people cycle with electrically-powered pedal assistance. The reduced pedalling effort attracts physically challenged people and seniors, who have a higher risk of falling. Since electric bicycles are heavier and the centre of masses are located higher, accidents happen easily. This study analyses the influence of the addition of a battery and motor unit on the stability behaviour of common bicycles for women. Based on market research, seven typical bicycle configurations are determined. Geometrics, mass values, and cycling postures are measured, and the theoretical stability behaviour is determined analytically based on the stability model of Whipple and Carvallo. The research shows that bicycles without pedal assistance have a smaller self-stable and semi-stable range than most electric bicycles. The electric bicycle with a motor implemented in the front wheel perform best, as the extra weight of the motor enhances the gyroscopic self-stabilization of the front wheel. Furthermore, a battery in the lower mid-tube is preferred over one in the luggage rack as it lowers the center of mass of the rear frame assembly. Knowledge about the optimal configuration to maximize the stability will enhance the cycling comfort and minimize the chance of accidents.https://www.mdpi.com/2076-3417/10/16/5672whipplecaravalloself-stabilitybicycle dynamics
spellingShingle Sien Dieltiens
Frederik Debrouwere
Marc Juwet
Eric Demeester
Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
Applied Sciences
whipple
caravallo
self-stability
bicycle dynamics
title Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
title_full Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
title_fullStr Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
title_full_unstemmed Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
title_short Practical Application of the Whipple and Carvallo Stability Model on Modern Bicycles with Pedal Assistance
title_sort practical application of the whipple and carvallo stability model on modern bicycles with pedal assistance
topic whipple
caravallo
self-stability
bicycle dynamics
url https://www.mdpi.com/2076-3417/10/16/5672
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