Analysis of the Static Behavior of a Single Tree on a Finite Element Model

Moravčík, Ľuboš; Vincúr, Radko; Rózová, Zdenka

doi:10.3390/plants10071284

Cited by 8 publications

(5 citation statements)

References 22 publications

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“…Since the growth characteristics of fruit trees conform to the Euler-Bernoulli beam [28,29], where the length is more than five times the cross-section, this study simplified the trunk to a beam model with an equal cross-section, where one end is fixed and the other end is free, and a concentrated mass is present at the free end [30][31][32][33]. The coordinate system xoy was constructed with the root of the tree trunk as the origin O, and a unit length of the beam unit was used for force analysis, as shown in Figure 1.…”

Section: Principle Of Vibration Harvesting Of Red Jujubementioning

confidence: 99%

Optimization of Vibration Parameters for Red Jujube Trees with Different Diameters

Chen

Qiao

Feng

et al. 2023

Forests

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Vibratory harvesting is the primary method used to harvest red jujubes. This study aimed to improve the efficiency of vibratory harvesting for red jujubes and identify the optimal parameters for harvesting at different jujube tree diameters. A model for the forced vibration dynamics of jujube trees was established, and a three-dimensional model was constructed for different diameter variations. A kinematic simulation analysis was then conducted to determine the inherent frequency and modal vibration patterns of jujube trees. Harmonic response analysis was performed to study the displacement and acceleration responses of jujube trees with different diameters to different vibration factors. Subsequently, vibration tests were carried out on the jujube trees. The results showed that the vibration characteristics of trees with different diameters were distinct at each vibration order, and the maximum number of vibrating branches differed at different orders of vibration. The vibration frequency ranges for vibration harvesting of jujube trees with 30 mm, 50 mm, and 70 mm diameters were determined as 4–30 Hz, 6–25 Hz, and 17–29 Hz, respectively. Furthermore, the study obtained the optimal vibration parameters for jujube trees by establishing the regression equations of harvest rate and each vibration factor. For jujube trees with a diameter of 30 mm, the optimal parameters included a vibration frequency of 30 Hz and a vibration amplitude of 15 mm. For jujube trees with a diameter of 50 mm, the optimal parameters included a vibration frequency of 18.55 Hz and a vibration amplitude of 12.52 mm. Lastly, for jujube trees with a diameter of 70 mm, the optimal parameters included a vibration frequency of 6 Hz and a vibration amplitude of 15 mm. This study provides a theoretical foundation and technical support for improving the efficiency of vibratory harvesting and identifying the optimal vibration harvesting parameters for jujube trees with different diameters.

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Section: Principle Of Vibration Harvesting Of Red Jujubementioning

confidence: 99%

Optimization of Vibration Parameters for Red Jujube Trees with Different Diameters

Chen

Qiao

Feng

et al. 2023

Forests

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“…U-shaped branch attachment: the connection between a branch and a stem forms a smooth U-shaped curve as a result of the transition angle at the connection between the cylindrical branch and the stem [3,13,14].…”

Section: Introductionmentioning

confidence: 99%

Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features

Liu,

Peng,

Cheng

2023

Plants

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This study analyzed the mechanical and physiological strategies associated with four features in the branch–stem junction of a tree, namely the U-shaped branch attachment, the branch collar, the branch bark ridge, and the roughened lower stem. Models were established for each stage of tree growth by adding these four features sequentially to a base model, and the finite element method (FEM) was employed to create three-dimensional models of an Acer tree’s branch–stem structure for static force analysis. According to the results, the development of the branch collar shifted the point of breakage to the outer part of the collar and, thus, constituted a physiological strategy that prevented decay in the stem. Additionally, the concentration of stress in the branch bark ridge limited the area of tear in the bark following breakage. Finally, the U-shaped branch attachment reduced stress and shifted the point of peak stress toward the branch, while the thickening of the lower stem reduced the overall stress. The development of these features, including the spatial positioning of the branch bark ridge and branch collar, resulted in two breakage points constituting a physical and a physiological strategy that limited damage to the tree and protected the xylem structure. This is the part that has been challenging to decipher in previous discussions of tree-related self-protection mechanisms.

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“…One direction tends to develop increasingly more refined and sophisticated tree models [6,7] . The finite element model considering precise tree geometry and wind-tree interaction is particularly popular [8][9][10][11][12][13][14] . The other direction is more practical and application-oriented.…”

Section: Introductionmentioning

confidence: 99%

Wind risk assessment of urban street trees based on wind-induced fragility

2022

Dis Prev Res

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The failure of urban street trees caused by strong winds and has several adverse effects on urban functions and public safety. This study developed a wind fragility model based on the mechanical analysis of urban street trees. The uncertainty of the important parameters involved in this model was quantified for species of interest. Specifically, the vine copula function was used to estimate the joint probability distribution of the geometric parameters. Furthermore, the tree fragility curves were obtained and then validated by the historical measured date. The proposed model may help in effectively identifying high-risk streets and regions.

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Analysis of the Static Behavior of a Single Tree on a Finite Element Model

Cited by 8 publications

References 22 publications

Optimization of Vibration Parameters for Red Jujube Trees with Different Diameters

Optimization of Vibration Parameters for Red Jujube Trees with Different Diameters

Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features

Wind risk assessment of urban street trees based on wind-induced fragility

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