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Multibody System Dynamics
Article . 2020 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 2021
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Optimal 3D arm strategies for maximizing twist rotation during somersault of a rigid-body model

Authors: François Bailly; Eve Charbonneau; Loane Danès; Mickael Begon;

Optimal 3D arm strategies for maximizing twist rotation during somersault of a rigid-body model

Abstract

Whenever watching sports where the athletes perform somersaults one can observe that the movement of the arms influence the twist rotations. In this article the movement is modeled and simulated with two different versions of the stretched arm motions. Once with a one degree of freedom (DOF) planar motion in the shoulder and once with a 2 DOF motion therein. These two arm strategies were denoted by the 2D and 3D techniques, respectively. The base, i.e. the remaining body, is simulated as a free-floating base with 6 DOFs. The goal of this manuscript is to find an optimal arm strategy for the different degrees of freedom to maximize the number of twists while the body performs a backward somersault. Therefore, an optimal control law was set up that satisfies the dynamics and position, velocity, angle and rotation constraints of the virtual body. Two different cost functions were implemented to show the coherence of complexity between the whole motion and number of twists. Overall in this study it turned out that good 3D techniques yield a much higher number of twists than good 2D techniques, although the complexity of the underlying motor control is not increased. A drawback of the attempt using two degrees of freedom in the shoulder is that the convergence rates in the optimization are lower.

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Keywords

rigid-body dynamics, sports performance, Sports performance, Numerical optimization, biomechanics, Optimal control, Rigid-body dynamics, numerical optimization, optimal control, Existence theories for optimal control problems involving ordinary differential equations, Biomechanics, Kinematics of mechanisms and robots, Applications of optimal control and differential games

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
Green