Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation
The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced S...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kulikov, G.M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash - Davey, Benjamin ELSEVIER, 2022, an international journal, Amsterdam |
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| Übergeordnetes Werk: |
volume:152 ; year:2016 ; day:15 ; month:09 ; pages:349-361 ; extent:13 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.compstruct.2016.05.043 |
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ELV024348155 |
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| 520 | |a The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. | ||
| 520 | |a The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. | ||
| 650 | 7 | |a Functionally graded material |2 Elsevier | |
| 650 | 7 | |a Sampling surfaces method |2 Elsevier | |
| 650 | 7 | |a Layered composite plate |2 Elsevier | |
| 650 | 7 | |a 3D vibration analysis |2 Elsevier | |
| 700 | 1 | |a Plotnikova, S.V. |4 oth | |
| 700 | 1 | |a Kulikov, M.G. |4 oth | |
| 700 | 1 | |a Monastyrev, P.V. |4 oth | |
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10.1016/j.compstruct.2016.05.043 doi GBVA2016008000014.pica (DE-627)ELV024348155 (ELSEVIER)S0263-8223(16)30571-2 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Kulikov, G.M. verfasserin aut Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. Functionally graded material Elsevier Sampling surfaces method Elsevier Layered composite plate Elsevier 3D vibration analysis Elsevier Plotnikova, S.V. oth Kulikov, M.G. oth Monastyrev, P.V. oth Enthalten in Elsevier Davey, Benjamin ELSEVIER Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash 2022 an international journal Amsterdam (DE-627)ELV007891687 volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 https://doi.org/10.1016/j.compstruct.2016.05.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 152 2016 15 0915 349-361 13 045F 670 |
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10.1016/j.compstruct.2016.05.043 doi GBVA2016008000014.pica (DE-627)ELV024348155 (ELSEVIER)S0263-8223(16)30571-2 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Kulikov, G.M. verfasserin aut Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. Functionally graded material Elsevier Sampling surfaces method Elsevier Layered composite plate Elsevier 3D vibration analysis Elsevier Plotnikova, S.V. oth Kulikov, M.G. oth Monastyrev, P.V. oth Enthalten in Elsevier Davey, Benjamin ELSEVIER Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash 2022 an international journal Amsterdam (DE-627)ELV007891687 volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 https://doi.org/10.1016/j.compstruct.2016.05.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 152 2016 15 0915 349-361 13 045F 670 |
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10.1016/j.compstruct.2016.05.043 doi GBVA2016008000014.pica (DE-627)ELV024348155 (ELSEVIER)S0263-8223(16)30571-2 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Kulikov, G.M. verfasserin aut Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. Functionally graded material Elsevier Sampling surfaces method Elsevier Layered composite plate Elsevier 3D vibration analysis Elsevier Plotnikova, S.V. oth Kulikov, M.G. oth Monastyrev, P.V. oth Enthalten in Elsevier Davey, Benjamin ELSEVIER Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash 2022 an international journal Amsterdam (DE-627)ELV007891687 volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 https://doi.org/10.1016/j.compstruct.2016.05.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 152 2016 15 0915 349-361 13 045F 670 |
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10.1016/j.compstruct.2016.05.043 doi GBVA2016008000014.pica (DE-627)ELV024348155 (ELSEVIER)S0263-8223(16)30571-2 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Kulikov, G.M. verfasserin aut Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. Functionally graded material Elsevier Sampling surfaces method Elsevier Layered composite plate Elsevier 3D vibration analysis Elsevier Plotnikova, S.V. oth Kulikov, M.G. oth Monastyrev, P.V. oth Enthalten in Elsevier Davey, Benjamin ELSEVIER Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash 2022 an international journal Amsterdam (DE-627)ELV007891687 volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 https://doi.org/10.1016/j.compstruct.2016.05.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 152 2016 15 0915 349-361 13 045F 670 |
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10.1016/j.compstruct.2016.05.043 doi GBVA2016008000014.pica (DE-627)ELV024348155 (ELSEVIER)S0263-8223(16)30571-2 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Kulikov, G.M. verfasserin aut Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. Functionally graded material Elsevier Sampling surfaces method Elsevier Layered composite plate Elsevier 3D vibration analysis Elsevier Plotnikova, S.V. oth Kulikov, M.G. oth Monastyrev, P.V. oth Enthalten in Elsevier Davey, Benjamin ELSEVIER Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash 2022 an international journal Amsterdam (DE-627)ELV007891687 volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 https://doi.org/10.1016/j.compstruct.2016.05.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 152 2016 15 0915 349-361 13 045F 670 |
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Enthalten in Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash Amsterdam volume:152 year:2016 day:15 month:09 pages:349-361 extent:13 |
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Three-dimensional vibration analysis of layered and functionally graded plates through sampling surfaces formulation |
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The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. |
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The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. |
| abstract_unstemmed |
The paper deals with a recently developed method of sampling surfaces (SaS) and its implementation for the three-dimensional (3D) free vibration analysis of layered plates with embedded functionally graded (FG) layers. The SaS method is based on choosing inside the nth layer I n not equally spaced SaS parallel to the middle surface of the plate in order to introduce the displacements of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree I n - 1 in the assumed distributions of the displacements and mechanical properties through the thickness of the layer leads to the robust FG plate formulation. The SaS are located inside each layer at Chebyshev polynomial nodes that makes it possible to minimize uniformly the error due to the Lagrange interpolation. As a result, the SaS formulation can be applied efficiently to obtaining the analytical solutions for layered and FG plates, which asymptotically approach the 3D exact solutions of elasticity as the number of SaS tends to infinity. |
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