Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection
Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Škec, Leo [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 225(2013), 2 vom: 17. Sept., Seite 523-541 |
|---|---|
| Übergeordnetes Werk: |
volume:225 ; year:2013 ; number:2 ; day:17 ; month:09 ; pages:523-541 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00707-013-0972-5 |
|---|
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OLC203013998X |
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| 520 | |a Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. | ||
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10.1007/s00707-013-0972-5 doi (DE-627)OLC203013998X (DE-He213)s00707-013-0972-5-p DE-627 ger DE-627 rakwb eng 530 VZ Škec, Leo verfasserin aut Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. Beam Theory Composite Beam Sandwich Beam Multilayer Beam Material Coordinate System Jelenić, Gordan aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 2 vom: 17. Sept., Seite 523-541 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:2 day:17 month:09 pages:523-541 https://doi.org/10.1007/s00707-013-0972-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 2 17 09 523-541 |
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10.1007/s00707-013-0972-5 doi (DE-627)OLC203013998X (DE-He213)s00707-013-0972-5-p DE-627 ger DE-627 rakwb eng 530 VZ Škec, Leo verfasserin aut Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. Beam Theory Composite Beam Sandwich Beam Multilayer Beam Material Coordinate System Jelenić, Gordan aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 2 vom: 17. Sept., Seite 523-541 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:2 day:17 month:09 pages:523-541 https://doi.org/10.1007/s00707-013-0972-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 2 17 09 523-541 |
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10.1007/s00707-013-0972-5 doi (DE-627)OLC203013998X (DE-He213)s00707-013-0972-5-p DE-627 ger DE-627 rakwb eng 530 VZ Škec, Leo verfasserin aut Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. Beam Theory Composite Beam Sandwich Beam Multilayer Beam Material Coordinate System Jelenić, Gordan aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 2 vom: 17. Sept., Seite 523-541 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:2 day:17 month:09 pages:523-541 https://doi.org/10.1007/s00707-013-0972-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 2 17 09 523-541 |
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10.1007/s00707-013-0972-5 doi (DE-627)OLC203013998X (DE-He213)s00707-013-0972-5-p DE-627 ger DE-627 rakwb eng 530 VZ Škec, Leo verfasserin aut Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. Beam Theory Composite Beam Sandwich Beam Multilayer Beam Material Coordinate System Jelenić, Gordan aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 2 vom: 17. Sept., Seite 523-541 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:2 day:17 month:09 pages:523-541 https://doi.org/10.1007/s00707-013-0972-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 2 17 09 523-541 |
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10.1007/s00707-013-0972-5 doi (DE-627)OLC203013998X (DE-He213)s00707-013-0972-5-p DE-627 ger DE-627 rakwb eng 530 VZ Škec, Leo verfasserin aut Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. Beam Theory Composite Beam Sandwich Beam Multilayer Beam Material Coordinate System Jelenić, Gordan aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 2 vom: 17. Sept., Seite 523-541 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:2 day:17 month:09 pages:523-541 https://doi.org/10.1007/s00707-013-0972-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 2 17 09 523-541 |
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Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection |
| abstract |
Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. © Springer-Verlag Wien 2013 |
| abstractGer |
Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. © Springer-Verlag Wien 2013 |
| abstract_unstemmed |
Abstract A finite-element formulation for geometrically exact multi-layer beams is proposed in the present work. The interlayer slip and uplift are not considered. The number of layers is arbitrary, and the basic unknown functions are the horizontal and vertical displacements of the composite beam’s reference axis and the cross-sectional rotation of each layer. Due to the geometrically exact definition of the problem, the governing equations are nonlinear in terms of basic unknown functions and the solution is obtained numerically. In general, each layer can have different geometrical and material properties, but since the layers are rigidly connected, the main application of this model is on homogeneous layered beams. Numerical examples compare the results of the present model with the existing geometrically nonlinear sandwich beam models and also with the 2D plane-stress elements and, where applicable, with the results from the theory of elasticity. The comparison with 2D plane-stress elements shows that the multi-layer beam model is very efficient for modelling thick beams where warping of the cross-section has to be considered. © Springer-Verlag Wien 2013 |
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Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection |
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Jelenić, Gordan |
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