Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems
Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it ex...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Liu, Cheng [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
Absolute nodal coordinate formulation (ANCF) |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2011 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 69(2011), 1-2 vom: 08. Nov., Seite 127-147 |
|---|---|
| Übergeordnetes Werk: |
volume:69 ; year:2011 ; number:1-2 ; day:08 ; month:11 ; pages:127-147 |
| Links: |
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| DOI / URN: |
10.1007/s11071-011-0251-8 |
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| Katalog-ID: |
OLC2051092826 |
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| 520 | |a Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. | ||
| 650 | 4 | |a Absolute nodal coordinate formulation (ANCF) | |
| 650 | 4 | |a Natural coordinate formulation (NCF) | |
| 650 | 4 | |a Impose moment | |
| 650 | 4 | |a Joint reaction forces | |
| 700 | 1 | |a Tian, Qiang |4 aut | |
| 700 | 1 | |a Hu, Haiyan |4 aut | |
| 700 | 1 | |a García-Vallejo, Daniel |4 aut | |
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10.1007/s11071-011-0251-8 doi (DE-627)OLC2051092826 (DE-He213)s11071-011-0251-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Liu, Cheng verfasserin aut Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2011 Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. Absolute nodal coordinate formulation (ANCF) Natural coordinate formulation (NCF) Impose moment Joint reaction forces Tian, Qiang aut Hu, Haiyan aut García-Vallejo, Daniel aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 69(2011), 1-2 vom: 08. Nov., Seite 127-147 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:69 year:2011 number:1-2 day:08 month:11 pages:127-147 https://doi.org/10.1007/s11071-011-0251-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_23 GBV_ILN_70 GBV_ILN_2006 AR 69 2011 1-2 08 11 127-147 |
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10.1007/s11071-011-0251-8 doi (DE-627)OLC2051092826 (DE-He213)s11071-011-0251-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Liu, Cheng verfasserin aut Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2011 Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. Absolute nodal coordinate formulation (ANCF) Natural coordinate formulation (NCF) Impose moment Joint reaction forces Tian, Qiang aut Hu, Haiyan aut García-Vallejo, Daniel aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 69(2011), 1-2 vom: 08. Nov., Seite 127-147 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:69 year:2011 number:1-2 day:08 month:11 pages:127-147 https://doi.org/10.1007/s11071-011-0251-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_23 GBV_ILN_70 GBV_ILN_2006 AR 69 2011 1-2 08 11 127-147 |
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10.1007/s11071-011-0251-8 doi (DE-627)OLC2051092826 (DE-He213)s11071-011-0251-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Liu, Cheng verfasserin aut Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2011 Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. Absolute nodal coordinate formulation (ANCF) Natural coordinate formulation (NCF) Impose moment Joint reaction forces Tian, Qiang aut Hu, Haiyan aut García-Vallejo, Daniel aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 69(2011), 1-2 vom: 08. Nov., Seite 127-147 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:69 year:2011 number:1-2 day:08 month:11 pages:127-147 https://doi.org/10.1007/s11071-011-0251-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_23 GBV_ILN_70 GBV_ILN_2006 AR 69 2011 1-2 08 11 127-147 |
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10.1007/s11071-011-0251-8 doi (DE-627)OLC2051092826 (DE-He213)s11071-011-0251-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Liu, Cheng verfasserin aut Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2011 Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. Absolute nodal coordinate formulation (ANCF) Natural coordinate formulation (NCF) Impose moment Joint reaction forces Tian, Qiang aut Hu, Haiyan aut García-Vallejo, Daniel aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 69(2011), 1-2 vom: 08. Nov., Seite 127-147 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:69 year:2011 number:1-2 day:08 month:11 pages:127-147 https://doi.org/10.1007/s11071-011-0251-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_23 GBV_ILN_70 GBV_ILN_2006 AR 69 2011 1-2 08 11 127-147 |
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10.1007/s11071-011-0251-8 doi (DE-627)OLC2051092826 (DE-He213)s11071-011-0251-8-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Liu, Cheng verfasserin aut Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2011 Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. Absolute nodal coordinate formulation (ANCF) Natural coordinate formulation (NCF) Impose moment Joint reaction forces Tian, Qiang aut Hu, Haiyan aut García-Vallejo, Daniel aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 69(2011), 1-2 vom: 08. Nov., Seite 127-147 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:69 year:2011 number:1-2 day:08 month:11 pages:127-147 https://doi.org/10.1007/s11071-011-0251-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_23 GBV_ILN_70 GBV_ILN_2006 AR 69 2011 1-2 08 11 127-147 |
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Liu, Cheng Tian, Qiang Hu, Haiyan García-Vallejo, Daniel |
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10.1007/s11071-011-0251-8 |
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simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems |
| title_auth |
Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems |
| abstract |
Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. © Springer Science+Business Media B.V. 2011 |
| abstractGer |
Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. © Springer Science+Business Media B.V. 2011 |
| abstract_unstemmed |
Abstract The Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) describing flexible bodies has been widely used to study the dynamics of rigid-flexible multibody system since it exhibits many good features, such as the constancy of the mass matrix of the derived dynamic equation, and the easy description and great simplification of the constraint conditions. In order to achieve these good features, both NCF and ANCF take the vectors, rather than rotational coordinates, to describe the rotation and deformation of the rigid-flexible bodies. In this study, the physical meaning of the components of the generalized force vector corresponding to the vector coordinates is revealed on the basis of both ANCF and NCF. Some new and simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody system are proposed by making full use of the physical meaning of vector coordinates and Lagrange multipliers. All the proposed formulations are defined in the global frame so as to avoid the coordinate transformation. Hence, it can be directly applicable to various types of finite elements of ANCF, including the slope deficient elements. Finally, several typical and practical examples are used to verify the effectiveness of the proposed formulations. © Springer Science+Business Media B.V. 2011 |
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Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems |
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