2017
DOI: 10.4236/am.2017.81006
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Modeling Walking with an Inverted Pendulum Not Constrained to the Sagittal Plane. Numerical Simulations and Asymptotic Expansions

Abstract: Inverted pendulum models are commonly used to study the bio-mechanics of biped walkers. In its simplest form, the inverted pendulum consists of a point mass attached to two straight mass-less legs. Most works constrain the motion of the mass to the sagittal plane, i.e. the plane perpendicular to the ground that contains the direction toward the biped is walking. In this article, we remove this constrain to study the oscillations, the mass experiences in the direction perpendicular to the sagittal plane as the … Show more

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Cited by 3 publications
(1 citation statement)
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“…All of the datasets were acquired during 26 cycling experiments in a hilly area on a route that is 12 km long, with an altitude difference of 300 m. Records were subsequently stored to the Garmin Connect website, exported as TCX files, converted to CSV files, and then imported to the MATLAB software for further processing. Accelerometric data were recorded by the mobile phone in the spine position, which was selected following previous studies [25], [41], which described the higher discriminative abilities of sensors located in the upper half of the body [42], [43] in comparison to other positions. The sampling frequency of the Android mobile phone sensor was 100 Hz during all cycling routes.…”
Section: A Data Acquisitionmentioning
confidence: 99%
“…All of the datasets were acquired during 26 cycling experiments in a hilly area on a route that is 12 km long, with an altitude difference of 300 m. Records were subsequently stored to the Garmin Connect website, exported as TCX files, converted to CSV files, and then imported to the MATLAB software for further processing. Accelerometric data were recorded by the mobile phone in the spine position, which was selected following previous studies [25], [41], which described the higher discriminative abilities of sensors located in the upper half of the body [42], [43] in comparison to other positions. The sampling frequency of the Android mobile phone sensor was 100 Hz during all cycling routes.…”
Section: A Data Acquisitionmentioning
confidence: 99%