Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs
Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zouari, Wajdi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 226(2014), 6 vom: 25. Dez., Seite 1737-1756 |
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| Übergeordnetes Werk: |
volume:226 ; year:2014 ; number:6 ; day:25 ; month:12 ; pages:1737-1756 |
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| DOI / URN: |
10.1007/s00707-014-1274-2 |
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OLC2030143170 |
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| 520 | |a Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. | ||
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10.1007/s00707-014-1274-2 doi (DE-627)OLC2030143170 (DE-He213)s00707-014-1274-2-p DE-627 ger DE-627 rakwb eng 530 VZ Zouari, Wajdi verfasserin aut Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2014 Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. Free Vibration Circular Plate Piezoelectric Layer Free Vibration Analysis Sandwich Beam Assarar, Mustapha aut Meftah, Kamel aut Ayad, Rezak aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2014), 6 vom: 25. Dez., Seite 1737-1756 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2014 number:6 day:25 month:12 pages:1737-1756 https://doi.org/10.1007/s00707-014-1274-2 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 226 2014 6 25 12 1737-1756 |
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10.1007/s00707-014-1274-2 doi (DE-627)OLC2030143170 (DE-He213)s00707-014-1274-2-p DE-627 ger DE-627 rakwb eng 530 VZ Zouari, Wajdi verfasserin aut Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2014 Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. Free Vibration Circular Plate Piezoelectric Layer Free Vibration Analysis Sandwich Beam Assarar, Mustapha aut Meftah, Kamel aut Ayad, Rezak aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2014), 6 vom: 25. Dez., Seite 1737-1756 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2014 number:6 day:25 month:12 pages:1737-1756 https://doi.org/10.1007/s00707-014-1274-2 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 226 2014 6 25 12 1737-1756 |
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10.1007/s00707-014-1274-2 doi (DE-627)OLC2030143170 (DE-He213)s00707-014-1274-2-p DE-627 ger DE-627 rakwb eng 530 VZ Zouari, Wajdi verfasserin aut Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2014 Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. Free Vibration Circular Plate Piezoelectric Layer Free Vibration Analysis Sandwich Beam Assarar, Mustapha aut Meftah, Kamel aut Ayad, Rezak aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2014), 6 vom: 25. Dez., Seite 1737-1756 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2014 number:6 day:25 month:12 pages:1737-1756 https://doi.org/10.1007/s00707-014-1274-2 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 226 2014 6 25 12 1737-1756 |
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10.1007/s00707-014-1274-2 doi (DE-627)OLC2030143170 (DE-He213)s00707-014-1274-2-p DE-627 ger DE-627 rakwb eng 530 VZ Zouari, Wajdi verfasserin aut Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2014 Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. Free Vibration Circular Plate Piezoelectric Layer Free Vibration Analysis Sandwich Beam Assarar, Mustapha aut Meftah, Kamel aut Ayad, Rezak aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2014), 6 vom: 25. Dez., Seite 1737-1756 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2014 number:6 day:25 month:12 pages:1737-1756 https://doi.org/10.1007/s00707-014-1274-2 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 226 2014 6 25 12 1737-1756 |
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10.1007/s00707-014-1274-2 doi (DE-627)OLC2030143170 (DE-He213)s00707-014-1274-2-p DE-627 ger DE-627 rakwb eng 530 VZ Zouari, Wajdi verfasserin aut Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2014 Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. Free Vibration Circular Plate Piezoelectric Layer Free Vibration Analysis Sandwich Beam Assarar, Mustapha aut Meftah, Kamel aut Ayad, Rezak aut Enthalten in Acta mechanica Springer Vienna, 1965 226(2014), 6 vom: 25. Dez., Seite 1737-1756 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:226 year:2014 number:6 day:25 month:12 pages:1737-1756 https://doi.org/10.1007/s00707-014-1274-2 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 226 2014 6 25 12 1737-1756 |
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Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs |
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Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. © Springer-Verlag Wien 2014 |
| abstractGer |
Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. © Springer-Verlag Wien 2014 |
| abstract_unstemmed |
Abstract This paper deals with the free vibration validation of a family of mechanical and piezoelectric eight-node hexahedral elements, presenting rotational degrees of freedom in addition to the classical displacement ones. Their formulations are based on the 3D virtual rotations of a nodal fiber within the finite element that enriches the mechanical displacement vector, stiffness and mass matrices approximations. The performances of these elements for free vibration problems are assessed by means of several beam, plate and shell modal tests, and their results are compared with analytical, experimental and numerical reference solutions. In particular, it is shown that these elements are well adapted for evaluating the modal response of thin and thick elastic and piezoelectric structures, and their accuracy is close to those of the classical mechanical and piezoelectric 20-node hexahedral elements. © Springer-Verlag Wien 2014 |
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Free vibration analysis of homogeneous piezoelectric structures using specific hexahedral elements with rotational DOFs |
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Assarar, Mustapha Meftah, Kamel Ayad, Rezak |
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Assarar, Mustapha Meftah, Kamel Ayad, Rezak |
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| doi_str |
10.1007/s00707-014-1274-2 |
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2024-07-04T01:23:25.346Z |
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