Characterisation of tree vibrations based on the model of orthogonal oscillations

Abstract This study presents quantitative and qualitative insights into the analysis of data obtained by tracking the motion of reflective markers arranged along the trunk of a pole-like potted tree, which was recorded by a state-of-the-art infrared motion-tracking system. The experimental results s...

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Autores principales:	Ivana Kovacic, Dragi Radomirovic, Miodrag Zukovic, Benka Pavel, Milutin Nikolic
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f20239860efd4ee5ab66cc7a3b0f4ed2
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spelling	oai:doaj.org-article:f20239860efd4ee5ab66cc7a3b0f4ed22021-12-02T11:40:46ZCharacterisation of tree vibrations based on the model of orthogonal oscillations10.1038/s41598-018-26726-52045-2322https://doaj.org/article/f20239860efd4ee5ab66cc7a3b0f4ed22018-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-26726-5https://doaj.org/toc/2045-2322Abstract This study presents quantitative and qualitative insights into the analysis of data obtained by tracking the motion of reflective markers arranged along the trunk of a pole-like potted tree, which was recorded by a state-of-the-art infrared motion-tracking system. The experimental results showed in-plane damped trajectories of the markers with lateral displacements, i.e. out-of-plane vibrations of the tree under consideration. To explain such response and to determine the corresponding oscillatory characteristics, a completely new and original utilisation of the recorded in-plane damped trajectories is presented. The quantitative insight gained is based on the mechanical model that consists of two orthogonal springs and dampers placed in the plane where the motion takes place, and it is then directed towards the determination of the characteristics of the related orthogonal oscillations: two natural frequencies, the position of the principal axes to which they correspond, and two damping ratios. The qualitative insight gained involves analysing the shape and narrowness of the trajectory to assess how close-valued two natural frequencies are, and how small the overall damping is. The quantitative and qualitative methodologies presented herein are seen as beneficial for arboriculture, forestry and botany, but given the fact that orthogonal oscillations appears in many natural and engineering systems, they are also expected to be useful for specialists in other fields of science and engineering as well.Ivana KovacicDragi RadomirovicMiodrag ZukovicBenka PavelMilutin NikolicNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-11 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ivana Kovacic Dragi Radomirovic Miodrag Zukovic Benka Pavel Milutin Nikolic Characterisation of tree vibrations based on the model of orthogonal oscillations
description	Abstract This study presents quantitative and qualitative insights into the analysis of data obtained by tracking the motion of reflective markers arranged along the trunk of a pole-like potted tree, which was recorded by a state-of-the-art infrared motion-tracking system. The experimental results showed in-plane damped trajectories of the markers with lateral displacements, i.e. out-of-plane vibrations of the tree under consideration. To explain such response and to determine the corresponding oscillatory characteristics, a completely new and original utilisation of the recorded in-plane damped trajectories is presented. The quantitative insight gained is based on the mechanical model that consists of two orthogonal springs and dampers placed in the plane where the motion takes place, and it is then directed towards the determination of the characteristics of the related orthogonal oscillations: two natural frequencies, the position of the principal axes to which they correspond, and two damping ratios. The qualitative insight gained involves analysing the shape and narrowness of the trajectory to assess how close-valued two natural frequencies are, and how small the overall damping is. The quantitative and qualitative methodologies presented herein are seen as beneficial for arboriculture, forestry and botany, but given the fact that orthogonal oscillations appears in many natural and engineering systems, they are also expected to be useful for specialists in other fields of science and engineering as well.
format	article
author	Ivana Kovacic Dragi Radomirovic Miodrag Zukovic Benka Pavel Milutin Nikolic
author_facet	Ivana Kovacic Dragi Radomirovic Miodrag Zukovic Benka Pavel Milutin Nikolic
author_sort	Ivana Kovacic
title	Characterisation of tree vibrations based on the model of orthogonal oscillations
title_short	Characterisation of tree vibrations based on the model of orthogonal oscillations
title_full	Characterisation of tree vibrations based on the model of orthogonal oscillations
title_fullStr	Characterisation of tree vibrations based on the model of orthogonal oscillations
title_full_unstemmed	Characterisation of tree vibrations based on the model of orthogonal oscillations
title_sort	characterisation of tree vibrations based on the model of orthogonal oscillations
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/f20239860efd4ee5ab66cc7a3b0f4ed2
work_keys_str_mv	AT ivanakovacic characterisationoftreevibrationsbasedonthemodeloforthogonaloscillations AT dragiradomirovic characterisationoftreevibrationsbasedonthemodeloforthogonaloscillations AT miodragzukovic characterisationoftreevibrationsbasedonthemodeloforthogonaloscillations AT benkapavel characterisationoftreevibrationsbasedonthemodeloforthogonaloscillations AT milutinnikolic characterisationoftreevibrationsbasedonthemodeloforthogonaloscillations
_version_	1718395557463982080

Characterisation of tree vibrations based on the model of orthogonal oscillations

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