Simulating stem growth using topological optimization
Simulación del crecimiento de tallos usando optimización topológica
DOI:
https://doi.org/10.15446/ing.investig.v24n3.14606Keywords:
tree, biomechanics, biological growth, material distribution, deformation energy, topological optimization, plant, stem (en)árbol, biomecánica, crecimiento biológico, distribución de material, energía de deformación, optimización topológica, planta, ramificación simpodial, tallo (es)
Downloads
Engineers are currently resorting to observations of nature for making new designs. Studying the functioning of bodies of plants and animals has required them to be modelled and simulated; however, some models born from engineering problems could be used for such purposes. This article shows how topological optimization (a mathematical model for optimizing designing structural elements) can be used for modelling and simulating the way a stem grows in terms of carrying out its function of providing support for the leaves and a plant’s other upper organs.
Actualmente los ingenieros se están basando en observaciones de la naturaleza para realizar nuevos diseños. El estudio del funcionamiento de los cuerpos de plantas y animales ha requerido de su modelado y simulación, sin embargo, existen modelos nacidos de problemas de ingeniería que pueden llegar a usarse para tal propósito.
Este artículo muestra cómo la optimización topológica, modelo matemático creado para optimizar el diseño de elementos estructurales, puede ser aplicado para modelar y simular la forma en que crece el tallo para cumplir su función de brindar soporte a las hojas y demás órganos superiores de una planta.
References
Bendsoe, Martin P y Sigmund, Ole, Topology Optimization, Springer Verlag, 2003.
Pardos, José Alberto, “Los árboles, prodigios de la ingeniería”, https://www.academia-de-ingenieria.com/publicaciones/discursos_ingreso/lapdi.pdf
Quint, Marc, “Adaptive Biological Growth Introduction to Shape (CAO) & Topology (SKO) Optimization Derived from the Growing of Trees”, Nafems Seminar: Advances in Optimization Technologies for Product Design. https://www.xperteez.de/publikationen/docs/NAFEMS/NAFEMS_2001.pdf
“Universidad y ciencia: El tallo” http://espanol.geocities.com/ueb2001/Resumen/botanica/tallo.htm
How to Cite
APA
ACM
ACS
ABNT
Chicago
Harvard
IEEE
MLA
Turabian
Vancouver
Download Citation
CrossRef Cited-by
Dimensions
PlumX
Article abstract page views
Downloads
License
Copyright (c) 2004 Carlos Alberto Narváez, Máximo Alejandro Roa Garzón, Diego Alexander Garzón Alvarado

This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.