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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