Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions
In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fracti...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Su, Zhu [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018transfer abstract |
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| Umfang: |
9 |
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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:186 ; year:2018 ; day:15 ; month:02 ; pages:315-323 ; extent:9 |
| Links: |
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| DOI / URN: |
10.1016/j.compstruct.2017.12.018 |
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ELV04163344X |
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| 520 | |a In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. | ||
| 520 | |a In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. | ||
| 650 | 7 | |a Free vibration |2 Elsevier | |
| 650 | 7 | |a Functionally graded materials |2 Elsevier | |
| 650 | 7 | |a Variational method |2 Elsevier | |
| 650 | 7 | |a Stepped beams |2 Elsevier | |
| 700 | 1 | |a Jin, Guoyong |4 oth | |
| 700 | 1 | |a Ye, Tiangui |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Davey, Benjamin ELSEVIER |t Versatile, but not focused, traffic offenders are more likely to be at fault for a fatal crash |d 2022 |d an international journal |g Amsterdam |w (DE-627)ELV007891687 |
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10.1016/j.compstruct.2017.12.018 doi GBV00000000000099A.pica (DE-627)ELV04163344X (ELSEVIER)S0263-8223(17)31340-5 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Su, Zhu verfasserin aut Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions 2018transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. Free vibration Elsevier Functionally graded materials Elsevier Variational method Elsevier Stepped beams Elsevier Jin, Guoyong oth Ye, Tiangui 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 https://doi.org/10.1016/j.compstruct.2017.12.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 186 2018 15 0215 315-323 9 045F 670 |
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10.1016/j.compstruct.2017.12.018 doi GBV00000000000099A.pica (DE-627)ELV04163344X (ELSEVIER)S0263-8223(17)31340-5 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Su, Zhu verfasserin aut Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions 2018transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. Free vibration Elsevier Functionally graded materials Elsevier Variational method Elsevier Stepped beams Elsevier Jin, Guoyong oth Ye, Tiangui 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 https://doi.org/10.1016/j.compstruct.2017.12.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 186 2018 15 0215 315-323 9 045F 670 |
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10.1016/j.compstruct.2017.12.018 doi GBV00000000000099A.pica (DE-627)ELV04163344X (ELSEVIER)S0263-8223(17)31340-5 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Su, Zhu verfasserin aut Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions 2018transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. Free vibration Elsevier Functionally graded materials Elsevier Variational method Elsevier Stepped beams Elsevier Jin, Guoyong oth Ye, Tiangui 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 https://doi.org/10.1016/j.compstruct.2017.12.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 186 2018 15 0215 315-323 9 045F 670 |
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10.1016/j.compstruct.2017.12.018 doi GBV00000000000099A.pica (DE-627)ELV04163344X (ELSEVIER)S0263-8223(17)31340-5 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Su, Zhu verfasserin aut Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions 2018transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. Free vibration Elsevier Functionally graded materials Elsevier Variational method Elsevier Stepped beams Elsevier Jin, Guoyong oth Ye, Tiangui 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 https://doi.org/10.1016/j.compstruct.2017.12.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 186 2018 15 0215 315-323 9 045F 670 |
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10.1016/j.compstruct.2017.12.018 doi GBV00000000000099A.pica (DE-627)ELV04163344X (ELSEVIER)S0263-8223(17)31340-5 DE-627 ger DE-627 rakwb eng 670 670 DE-600 690 VZ 50.17 bkl 55.80 bkl 44.80 bkl Su, Zhu verfasserin aut Vibration analysis of multiple-stepped functionally graded beams with general boundary conditions 2018transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. Free vibration Elsevier Functionally graded materials Elsevier Variational method Elsevier Stepped beams Elsevier Jin, Guoyong oth Ye, Tiangui 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 https://doi.org/10.1016/j.compstruct.2017.12.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 50.17 Sicherheitstechnik VZ 55.80 Verkehrswesen Transportwesen: Allgemeines VZ 44.80 Unfallmedizin Notfallmedizin VZ AR 186 2018 15 0215 315-323 9 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:186 year:2018 day:15 month:02 pages:315-323 extent:9 |
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The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. 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In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. |
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In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. |
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In this paper, an effective formulation for vibration analysis of multiple-stepped functionally graded beams with general boundary conditions is presented. The material properties are assumed to change continuously in the thickness direction according to a power law distribution of the volume fraction of the constituents. The theoretical model is formulated on the basis of a variational method in conjunction with the first-order shear deformation theory. The essence of the present formulation is to express the displacement and rotation components by nodeless Fourier sine functions and nodal Lagrangian polynomials. Since the boundary nodal displacement information is introduced into the admissible functions, the interface continuity and boundary conditions are easily handled. Based on this, each structure component may be further partitioned into appropriate segments in order to accommodate the computing requirements of higher-order vibration modes. A variety of numerical examples are presented to demonstrate the accuracy, reliability and computational efficiency of this method. Furthermore, the effects of the material properties, geometric parameters as well as boundary conditions on the frequencies of the beam structures are discussed. |
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