1. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Idealized branched tree. Top: a branched tree and self-similar subsets. Center: computed modes []. Bottom: schematic representation of the mode shapes corresponding to groups of different orders (redrawn from []).

2. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Displacements at sensors S1, S2, and S3 during a pull and release test

3. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Normalized PSD of responses for each sensor: S1 (top), S2 (center), and S3 (bottom). Peaks are identified with arrows, secondary peaks with dashed arrows, and labeled according to the frequency range. Higher modes are only seen in the displacement of sensors in the branches.

4. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Digitized geometry of the walnut tree used for the computation of the allometry parameters λ and β in Sec. and for the finite element computations in Sec.

5. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Normalized frequencies of modes of the walnut tree, as a function of the group of modes. (▪) Experimental data from Table . (—) Prediction using Eq. with λ and β derived from the actual tree geometry. The gray area corresponds to the 90% confidence interval on the geometrical parameters.

6. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Normalized computed eigenfrequencies of the walnut. Frequencies are grouped according to the main localization of modal deformations.

7. From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
Date of download: 1/1/2018
Copyright © ASME. All rights reserved.
From: The Multimodal Dynamics of a Walnut Tree: Experiments and Models
J. Appl. Mech. 2012;79(4): doi: /
Figure Legend:
Frequency ratio of modes of different groups from experiments (▪), finite-element computations, (□) and from the prediction using the allometry parameters (—)