Augmented Beam Elements Using Unit De ection Shapes Together with a Finite Element Discretisation of the Cross Section
Translated title:
Augmented Beam Elements Using Unit De ection Shapes Together with a Finite Element Discretisation of the Cross Section
Author:
Kreutz, J.
Year:
2013
Document type:
Dissertation
Institution:
Ingenieurfakultät Bau Geo Umwelt
Advisor:
Univ.-Prof. Dr.-Ing. habil. G. H. Müller
Referee:
Univ.-Prof. Dr.techn. Chr. Adam
Language:
de
Subject group:
BAU Bauingenieurwesen, Vermessungswesen
TUM classification:
BAU 150d
Abstract:
This thesis covers the field of augmented beam Finite Elements for geometrical and material linear, prismatic structures in the fields of static and dynamic excitations. An approach of superposed unit de ection shapes which are defined on a two dimensional Finite Element mesh of the cross section is used. This Finite Element mesh of the cross section is also used for the preparation of the unit de ection shapes by solving different differential equations such that unit de ection shapes emerge which most effectively cover the physical effects occurring on beam shaped structures with a three dimensional material law. The concept of unit de ection shapes is in analogy with the concept of warping torsion of beam elements. The method is validated and visualised with several numerical examples which are compared to the results of three dimensional standard Finite Element models.
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This thesis covers the field of augmented beam Finite Elements for geometrical and material linear, prismatic structures in the fields of static and dynamic excitations. An approach of superposed unit de ection shapes which are defined on a two dimensional Finite Element mesh of the cross section is used. This Finite Element mesh of the cross section is also used for the preparation of the unit de ection shapes by solving different differential equations such that unit de ection shapes emerge wh...
»
Translated abstract:
This thesis covers the field of augmented beam Finite Elements for geometrical and material linear, prismatic structures in the fields of static and dynamic excitations. An approach of superposed unit de ection shapes which are defined on a two dimensional Finite Element mesh of the cross section is used. This Finite Element mesh of the cross section is also used for the preparation of the unit de ection shapes by solving different differential equations such that unit de ection shapes emerge which most effectively cover the physical effects occurring on beam shaped structures with a three dimensional material law. The concept of unit de ection shapes is in analogy with the concept of warping torsion of beam elements. The method is validated and visualised with several numerical examples which are compared to the results of three dimensional standard Finite Element models.
«
This thesis covers the field of augmented beam Finite Elements for geometrical and material linear, prismatic structures in the fields of static and dynamic excitations. An approach of superposed unit de ection shapes which are defined on a two dimensional Finite Element mesh of the cross section is used. This Finite Element mesh of the cross section is also used for the preparation of the unit de ection shapes by solving different differential equations such that unit de ection shapes emerge wh...
»
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