Nutations in growing plant shoots: The role of elastic deformations due to gravity loading
| Autor: | Antonio DeSimone, Alessandro Lucantonio, Daniele Agostinelli, Giovanni Noselli |
|---|---|
| Přispěvatelé: | Agostinelli, Daniele, Lucantonio, Alessandro, Noselli, Giovanni, De Simone, Antonio |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Gravity (chemistry)
Gravitropism Context (language use) 02 engineering and technology 01 natural sciences 010305 fluids & plasmas symbols.namesake 0103 physical sciences Settore ICAR/08 - Scienza delle Costruzioni Hopf bifurcation Flutter instability Physics Mechanical Engineering Nutation Circumnutations Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics Amplitude Mechanics of Materials Circumnutation symbols Flutter 0210 nano-technology Circumnutations Gravitropism Hopf bifurcation Flutter instability |
| Popis: | The effect of elastic deformations induced by gravity loading on the active circumnutation movements of growing plant shoots is investigated. We consider first a discrete model (a gravitropic spring-pendulum system) and then a continuous rod model which is analyzed both analytically (under the assumption of small deformations) and numerically (in the large deformation regime). We find that, for a choice of material parameters consistent with values reported in the available literature on plant shoots, rods of sufficient length may exhibit lateral oscillations of increasing amplitude, which eventually converge to limit cycles. This behavior strongly suggests the occurrence of a Hopf bifurcation, just as for the gravitropic spring-pendulum system, for which this result is rigorously established. At least in this restricted set of material parameters, our analysis supports a view of Darwin’s circumnutations as a biological analogue to structural systems exhibiting flutter instabilities, i.e., spontaneous oscillations away from equilibrium configurations driven by non-conservative loads. Here, in the context of nutation movements of growing plant shoots, the energy needed to sustain oscillations is continuously supplied to the system by the internal biochemical machinery presiding the capability of plants to maintain a vertical pose. |
| Databáze: | OpenAIRE |
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