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Analytical Modelling of Human Arm Locomotion during Dance as a Dynamical Multiple Pendulum System

Agarana, M. C. and Ajayi, O. O. (2017) Analytical Modelling of Human Arm Locomotion during Dance as a Dynamical Multiple Pendulum System. In: World Congress on Engineering 2017 , July 5-7, 2017, London, U.K..

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Abstract

During dance human arms move. The movement of the arms, to a large extent, determines how good a dance is. This paper attempts to model the locomotion of human arm, analytically, during a dance as a dynamical multiple pendulum system with three segments. The system is analyzed by considering some instances during the dance. The three angles the three segments make with the vertical are considered. The Euler-Lagrange equation is used in obtaining the equation of Motion. The resulted second order differential equation is solved analytically. Simulation results are presented. They are consistent with the ones in literature. Specifically the angular displacement values of the three segments are directly proportional to their respective angular acceleration. However, the novelty of this work is in the full analytical approach to 3-pendulum system and its application to dance

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Mathematical Modelling, Human Arm, Multiple pendulum, Euler-Lagrange, Analytical
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Engineering, Science and Mathematics > School of Engineering Sciences
Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 16 Aug 2017 12:22
Last Modified: 16 Aug 2017 12:22
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/8673

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