Now showing 1 - 3 of 3
  • 2010Journal Article Research Paper
    [["dc.bibliographiccitation.firstpage","127"],["dc.bibliographiccitation.journal","Journal of the Royal Statistical Society. Series C, Applied statistics"],["dc.bibliographiccitation.lastpage","143"],["dc.bibliographiccitation.volume","59"],["dc.contributor.author","Hotz, Thomas"],["dc.contributor.author","Huckemann, Stephan"],["dc.contributor.author","Munk, Axel"],["dc.contributor.author","Gaffrey, D."],["dc.contributor.author","Sloboda, Branislav"],["dc.date.accessioned","2017-09-07T11:46:42Z"],["dc.date.available","2017-09-07T11:46:42Z"],["dc.date.issued","2010"],["dc.description.abstract","We analyse the shapes of star-shaped objects which are prealigned. This is motivated from two examples studying the growth of leaves, and the temporal evolution of tree rings. In the latter case measurements were taken at fixed angles whereas in the former case the angles were free. Subsequently, this leads to different shape spaces, related to different concepts of size, for the analysis. Whereas several shape spaces already existed in the literature when the angles are fixed, a new shape space for free angles, called spherical shape space, needed to be introduced. We compare these different shape spaces both regarding their mathematical properties and in their adequacy to the data at hand; we then apply suitably defined principal component analysis on these. In both examples we find that the shapes evolve mainly along the first principal component during growth; this is the 'geodesic hypothesis' that was formulated by Le and Kume. Moreover, we could link change-points of this evolution to significant changes in environmental conditions."],["dc.identifier.gro","3142997"],["dc.identifier.isi","000273320300007"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/463"],["dc.notes.intern","WoS Import 2017-03-10"],["dc.notes.status","final"],["dc.notes.submitter","PUB_WoS_Import"],["dc.publisher","Wiley-blackwell Publishing, Inc"],["dc.relation.issn","0035-9254"],["dc.title","Shape spaces for prealigned star-shaped objects-studying the growth of plants by principal components analysis"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.subtype","original"],["dspace.entity.type","Publication"]]
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  • 2001Journal Article
    [["dc.bibliographiccitation.firstpage","101"],["dc.bibliographiccitation.issue","5-6"],["dc.bibliographiccitation.journal","ALLGEMEINE FORST UND JAGDZEITUNG"],["dc.bibliographiccitation.lastpage","116"],["dc.bibliographiccitation.volume","172"],["dc.contributor.author","Gaffrey, D."],["dc.contributor.author","Rabbe, K. H."],["dc.contributor.author","Gebbeken, N."],["dc.date.accessioned","2018-11-07T09:04:52Z"],["dc.date.available","2018-11-07T09:04:52Z"],["dc.date.issued","2001"],["dc.description.abstract","Simulations of the elasto-mechanical reactions of trees subjected to wind and gravitational forces contribute deeper insight into stability aspects and mechanically triggered growth processes. In this study, the finite element method (FEM) was applied to a 64-year old Douglas fir tree of which in detail the stem and crown geometry (Tab. 1, 2) as well as the heterogeneity of the mechanical wood properties (Tab. 3) were taken into account. The stress distribution of the stem surface were calculated assuming a northwestern wind with a wind speed of 20 m/s (Fig. 3). The amount of stress caused only by wind forces dominates: whereas the stress values of the stem section below the crown base turned out to be relatively constant with about 10 MPa (but reduced at the swelling of the stem base), and being slightly smaller within the mid-crown section with about 8 MPa. the stress increases in the top region up to 25 MPa. The amount of stress evoked by gravitational forces due to the stem mass is negligible (Fig. 4). It was not possible to reliably estimate the stress contribution of the branches because the chosen concept of punctually transmitting the branch-specific forces and moments into the stem, implements unrealistic high stress peaks which fade off only very slowly (Fig. 5). Modelling with finite elements has been proven a feasible way of handling such complex objects as trees, but this requires high performance and thus, expensive hardware and software. One disadvantage of finite element software arises from its primary design for engineering applications so that modelling of natural objects being extremely irregular in shape and material properties is very time consuming. Therefore, extensive studies by varying the geometry of the object cannot be realised with this method."],["dc.identifier.isi","000169632600004"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/25194"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Sauerlanders Verlag"],["dc.relation.issn","0002-5852"],["dc.title","Investigating the elastomechanics of Douglas fir. 1. Modelling with the Finite Element Method"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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  • 2009Journal Article
    [["dc.bibliographiccitation.firstpage","127"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Journal of the Royal Statistical Society. Series C, Applied Statistics"],["dc.bibliographiccitation.lastpage","143"],["dc.bibliographiccitation.volume","59"],["dc.contributor.author","Hotz, Thomas"],["dc.contributor.author","Huckemann, Stephan"],["dc.contributor.author","Munk, Axel"],["dc.contributor.author","Gaffrey, D."],["dc.contributor.author","Sloboda, Branislav"],["dc.date.accessioned","2017-09-07T11:48:38Z"],["dc.date.available","2017-09-07T11:48:38Z"],["dc.date.issued","2009"],["dc.description.abstract","We analyse the shapes of star‐shaped objects which are prealigned. This is motivated from two examples studying the growth of leaves, and the temporal evolution of tree rings. In the latter case measurements were taken at fixed angles whereas in the former case the angles were free. Subsequently, this leads to different shape spaces, related to different concepts of size, for the analysis. Whereas several shape spaces already existed in the literature when the angles are fixed, a new shape space for free angles, called spherical shape space, needed to be introduced. We compare these different shape spaces both regarding their mathematical properties and in their adequacy to the data at hand; we then apply suitably defined principal component analysis on these. In both examples we find that the shapes evolve mainly along the first principal component during growth; this is the ‘geodesic hypothesis’ that was formulated by Le and Kume. Moreover, we could link change‐points of this evolution to significant changes in environmental conditions."],["dc.identifier.doi","10.1111/j.1467-9876.2009.683.x"],["dc.identifier.gro","3146948"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4721"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0035-9254"],["dc.title","Shape spaces for prealigned star-shaped objects-studying the growth of plants by principal components analysis"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]
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