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@@ -3,7 +3,7 @@ | |
\usepackage{amsmath} | ||
\usepackage{booktabs} % nice tables | ||
\usepackage[margin=25mm]{geometry} | ||
\usepackage[natbib=true,style=numeric,sorting=none]{biblatex} | ||
\usepackage[natbib=true,style=numeric,sorting=none,giveninits=true]{biblatex} | ||
% NOTE : this file is automatically generated from Zotero, do not edit | ||
% manually! | ||
\addbibresource{references.bib} | ||
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@@ -27,17 +27,17 @@ | |
\abstract{ | ||
Uncontrolled bicycles are generally unstable at low speeds. We add an | ||
automatically controlled steering motor to a consumer electric bicycle that | ||
has a stabilizing effect down to about 4~\si{\kph}. We hypothesize that a | ||
stabilized bicycle will reduce the probability of falling. To test the | ||
stabilizes the riderless bicycle down to about 3~\si{\kph}. We hypothesize | ||
that a stabilized bicycle will reduce the probability of falling. To test the | ||
motor's possible assistance during falls, we apply varying magnitude external | ||
handlebar perturbations to twenty-six participants who rode on a treadmill | ||
with the balance assist system activated and deactivated. The probability of | ||
recovering from a handlebar perturbation significantly increases when the | ||
balance assist is activated at a travel speed of 6~\si{\kph}. This positive | ||
effect is most prominent at and around the individual riders' perturbation | ||
resistance threshold. We conclude that use of a balance assist system in real | ||
world bicycling would reduce the number of falls that occur near riders' | ||
control authority limits. | ||
with the balance assist system both activated and deactivated. The | ||
probability of recovering from a handlebar perturbation significantly | ||
increases when the balance assist is activated at a travel speed of | ||
6~\si{\kph}. This positive effect is most prominent at and around the | ||
individual riders' perturbation resistance threshold. We conclude that use of | ||
a balance assist system in real world bicycling would reduce the number of | ||
falls that occur near riders' control authority limits. | ||
} | ||
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\section*{Affliation} | ||
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@@ -47,7 +47,7 @@ \section*{Affliation} | |
Correspondence: [email protected] | ||
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\section*{Keywords} | ||
bicycle, fall, prevention, automatic control, stability | ||
bicycle, fall prevention, automatic control, stability | ||
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\section*{Highlights} | ||
% | ||
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@@ -124,17 +124,17 @@ \subsection{Technical Background} | |
successfully demonstrated balancing a robotic bicycle on a treadmill with both | ||
steering control and a laterally moving mass. \citet{Ruijs1986} followed this | ||
breakthrough by demonstrating an automatically balanced motorcycle and they did | ||
so solely with a steering motor. Ruijs and Pacejka clearly showed that steer | ||
torque driven by roll angle feedback stabilizes the capsize mode, by roll | ||
angular rate feedback stabilizes the weave mode, and by steer angular rate | ||
feedback stabilizes the wobble mode.~\footnote{These motorcycle (and bicycle) | ||
eigenmodes are defined in \citep{Sharp1971}.} They also showed how the control | ||
gains must change with respect to vehicle speed for favorable control across | ||
all speeds. This roll motion feedback enables the simplest controller that can | ||
stabilize a single-track vehicle above a minimum speed when one is not | ||
concerned with wobble instabilities. But Ruijs and Pacejka's work was not | ||
particularly concerned with low speed stability and their vehicle was fully | ||
automatic, i.e no human rider was involved. | ||
so solely with a steering motor. Ruijs and Pacejka showed that steer torque | ||
driven by roll angle feedback stabilizes the capsize mode, by roll angular rate | ||
feedback stabilizes the weave mode, and by steer angular rate feedback | ||
stabilizes the wobble mode.~\footnote{These motorcycle (and bicycle) eigenmodes | ||
are defined in \citep{Sharp1971}.} They also showed how the control gains must | ||
change with respect to vehicle speed for favorable control across all speeds. | ||
This roll motion feedback enables the simplest controller that can stabilize a | ||
single-track vehicle above a minimum speed when one is not concerned with | ||
wobble instabilities. But Ruijs and Pacejka's work was not particularly | ||
concerned with low speed stability and their vehicle was fully automatic, i.e | ||
no human rider was involved. | ||
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Many more automatically balanced single-track vehicles have been demonstrated | ||
over the last 40 years, but none have demonstrated that increasing low speed | ||
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@@ -319,20 +319,20 @@ \subsection{Protocol} | |
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Participants wore a helmet and they were attached to the ceiling via a fall | ||
safety harness, Figure~\ref{fig:participant-in-set-up}. The harness allowed | ||
free movement pre-fall. The participants practiced riding on the treadmill | ||
until they indicated they were comfortable enough to have perturbations | ||
applied. For most, this was less than a 10~\si{\minute} warm up. We then asked | ||
the rider to ride for 90~\si{\second}, while attempting to maintain the | ||
location of their front wheel on the center line of the treadmill as a baseline | ||
measure before the perturbations. We then applied perturbations in random | ||
directions (clockwise or counter-clockwise), starting at 20~\si{\newton} and | ||
increasing the magnitude by 30~\si{\newton} until the participants fell. We | ||
defined a ``fall'' on the treadmill by two criteria: 1) the rider removes their | ||
foot from the pedal and places it on the ground or 2) the bicycle wheel exceeds | ||
the width of the treadmill belt. Figure~\ref{fig:perturbation-sequence} shows | ||
an example resulting motion from a perturbation. We logged the force magnitude | ||
that caused the first fall to characterize that participant's | ||
\emph{perturbation resistance threshold}. | ||
natural free movement pre-fall. The participants practiced riding on the | ||
treadmill until they indicated they were comfortable enough to have | ||
perturbations applied. For most, this was less than a 10~\si{\minute} warm up. | ||
We then asked the rider to ride for 90~\si{\second}, while attempting to | ||
maintain the location of their front wheel on the center line of the treadmill | ||
as a baseline measure before the perturbations. We then applied perturbations | ||
in random directions (clockwise or counter-clockwise), starting at | ||
20~\si{\newton} and increasing the magnitude by 30~\si{\newton} until the | ||
participants fell. We defined a ``fall'' on the treadmill by two criteria: 1) | ||
the rider removes their foot from the pedal and places it on the ground or 2) | ||
the bicycle wheel exceeds the width of the treadmill belt. | ||
Figure~\ref{fig:perturbation-sequence} shows an example resulting motion from a | ||
perturbation. We logged the force magnitude that caused the first fall to | ||
characterize that participant's \emph{perturbation resistance threshold}. | ||
% | ||
\begin{figure} | ||
\centering | ||
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@@ -765,10 +765,15 @@ \subsection{Treadmill Width} | |
At 6~\si{\kph} the riders could often recover in the allotted treadmill width | ||
due to the smaller lateral deviations. We believe our results are very much | ||
dependent on the two modes of falling, i.e. exit the treadmill width or foot is | ||
placed on the belt. On the other hand, Cycle paths are a similar width as the | ||
placed on the belt. On the other hand, cycle paths are a similar width as the | ||
treadmill, so rider's are often limited in width when recovering from a fall | ||
thus exiting the treadmill width may be an appropriate measure for indicating a | ||
fall. | ||
fall. While the treadmill simulates narrow cycle paths, real-world paths may | ||
offer more lateral recovery space, providing riders with additional | ||
opportunities to regain balance after a perturbation. However, testing in such | ||
narrow conditions is still highly relevant, as system design and validation | ||
should focus on extreme conditions like narrow paths, because even in wider | ||
paths, obstacles such as parked cars or barriers can limit lateral space. | ||
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\subsection{On Rider Bicycling Skill and Experience} | ||
% | ||
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