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Mathematical modelling to determine the greatest height of trees
| Title: | Mathematical modelling to determine the greatest height of trees |
| Authors: | Kanahama, Tohya Browse this author | | Sato, Motohiro Browse this author →KAKEN DB |
| Issue Date: | 7-Feb-2022 |
| Publisher: | Nature Portfolio |
| Journal Title: | Scientific reports |
| Volume: | 12 |
| Issue: | 1 |
| Start Page: | 2039 |
| Publisher DOI: | 10.1038/s41598-022-06041-w |
| Abstract: | This study aimed to analyse the critical height of a column whose weight varies vertically in order to obtain a simple scaling law for a tree where the weight distribution considered. We modelled trees as cantilevers that were fixed to the ground and formulated a self-buckling problem for various weight distributions. A formula for calculating the critical height was derived in a simple form that did not include special functions. We obtained a theoretical clarification of the effect of the weight distribution of heavy columns on the buckling behaviour. A widely applicable scaling law for trees was obtained. We found that an actual tree manages to distribute the weight of its trunk and branches along its vertical extent in a manner that adequately secures its critical height. The method and findings of this study are applicable to a wide range of fields, such as the simplification of complicated buckling problems and the study of tree shape quantification. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/85047 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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