Viscous nonlinearity in central difference and Newmark integration schemes
Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are ap...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Winkel, Benjamin [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2009 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2009 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 209(2009), 3-4 vom: 19. Apr., Seite 179-186 |
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| Übergeordnetes Werk: |
volume:209 ; year:2009 ; number:3-4 ; day:19 ; month:04 ; pages:179-186 |
| Links: |
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| DOI / URN: |
10.1007/s00707-009-0176-1 |
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OLC2030132632 |
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| 520 | |a Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. | ||
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10.1007/s00707-009-0176-1 doi (DE-627)OLC2030132632 (DE-He213)s00707-009-0176-1-p DE-627 ger DE-627 rakwb eng 530 VZ Winkel, Benjamin verfasserin aut Viscous nonlinearity in central difference and Newmark integration schemes 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. Previous Time Step Step Approximation Newmark Method Raphson Iteration Central Difference Method Enthalten in Acta mechanica Springer Vienna, 1965 209(2009), 3-4 vom: 19. Apr., Seite 179-186 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:209 year:2009 number:3-4 day:19 month:04 pages:179-186 https://doi.org/10.1007/s00707-009-0176-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 209 2009 3-4 19 04 179-186 |
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10.1007/s00707-009-0176-1 doi (DE-627)OLC2030132632 (DE-He213)s00707-009-0176-1-p DE-627 ger DE-627 rakwb eng 530 VZ Winkel, Benjamin verfasserin aut Viscous nonlinearity in central difference and Newmark integration schemes 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. Previous Time Step Step Approximation Newmark Method Raphson Iteration Central Difference Method Enthalten in Acta mechanica Springer Vienna, 1965 209(2009), 3-4 vom: 19. Apr., Seite 179-186 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:209 year:2009 number:3-4 day:19 month:04 pages:179-186 https://doi.org/10.1007/s00707-009-0176-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 209 2009 3-4 19 04 179-186 |
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10.1007/s00707-009-0176-1 doi (DE-627)OLC2030132632 (DE-He213)s00707-009-0176-1-p DE-627 ger DE-627 rakwb eng 530 VZ Winkel, Benjamin verfasserin aut Viscous nonlinearity in central difference and Newmark integration schemes 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. Previous Time Step Step Approximation Newmark Method Raphson Iteration Central Difference Method Enthalten in Acta mechanica Springer Vienna, 1965 209(2009), 3-4 vom: 19. Apr., Seite 179-186 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:209 year:2009 number:3-4 day:19 month:04 pages:179-186 https://doi.org/10.1007/s00707-009-0176-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 209 2009 3-4 19 04 179-186 |
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10.1007/s00707-009-0176-1 doi (DE-627)OLC2030132632 (DE-He213)s00707-009-0176-1-p DE-627 ger DE-627 rakwb eng 530 VZ Winkel, Benjamin verfasserin aut Viscous nonlinearity in central difference and Newmark integration schemes 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. Previous Time Step Step Approximation Newmark Method Raphson Iteration Central Difference Method Enthalten in Acta mechanica Springer Vienna, 1965 209(2009), 3-4 vom: 19. Apr., Seite 179-186 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:209 year:2009 number:3-4 day:19 month:04 pages:179-186 https://doi.org/10.1007/s00707-009-0176-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 209 2009 3-4 19 04 179-186 |
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Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. © Springer-Verlag 2009 |
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Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. © Springer-Verlag 2009 |
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Abstract Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily. © Springer-Verlag 2009 |
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