Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces
Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved bea...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Su, Jinpeng [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 90(2020), 9 vom: 26. Mai, Seite 2071-2090 |
|---|---|
| Übergeordnetes Werk: |
volume:90 ; year:2020 ; number:9 ; day:26 ; month:05 ; pages:2071-2090 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00419-020-01709-z |
|---|
| Katalog-ID: |
OLC2118520859 |
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| 520 | |a Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. | ||
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10.1007/s00419-020-01709-z doi (DE-627)OLC2118520859 (DE-He213)s00419-020-01709-z-p DE-627 ger DE-627 rakwb eng 690 VZ Su, Jinpeng verfasserin aut Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. Curved beam Coupled beam system Modified variational method Vibration Zhang, Kun (orcid)0000-0001-7339-5056 aut Zhang, Qiang aut Tian, Ying aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 90(2020), 9 vom: 26. Mai, Seite 2071-2090 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:90 year:2020 number:9 day:26 month:05 pages:2071-2090 https://doi.org/10.1007/s00419-020-01709-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 90 2020 9 26 05 2071-2090 |
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10.1007/s00419-020-01709-z doi (DE-627)OLC2118520859 (DE-He213)s00419-020-01709-z-p DE-627 ger DE-627 rakwb eng 690 VZ Su, Jinpeng verfasserin aut Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. Curved beam Coupled beam system Modified variational method Vibration Zhang, Kun (orcid)0000-0001-7339-5056 aut Zhang, Qiang aut Tian, Ying aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 90(2020), 9 vom: 26. Mai, Seite 2071-2090 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:90 year:2020 number:9 day:26 month:05 pages:2071-2090 https://doi.org/10.1007/s00419-020-01709-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 90 2020 9 26 05 2071-2090 |
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10.1007/s00419-020-01709-z doi (DE-627)OLC2118520859 (DE-He213)s00419-020-01709-z-p DE-627 ger DE-627 rakwb eng 690 VZ Su, Jinpeng verfasserin aut Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. Curved beam Coupled beam system Modified variational method Vibration Zhang, Kun (orcid)0000-0001-7339-5056 aut Zhang, Qiang aut Tian, Ying aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 90(2020), 9 vom: 26. Mai, Seite 2071-2090 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:90 year:2020 number:9 day:26 month:05 pages:2071-2090 https://doi.org/10.1007/s00419-020-01709-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 90 2020 9 26 05 2071-2090 |
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10.1007/s00419-020-01709-z doi (DE-627)OLC2118520859 (DE-He213)s00419-020-01709-z-p DE-627 ger DE-627 rakwb eng 690 VZ Su, Jinpeng verfasserin aut Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. Curved beam Coupled beam system Modified variational method Vibration Zhang, Kun (orcid)0000-0001-7339-5056 aut Zhang, Qiang aut Tian, Ying aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 90(2020), 9 vom: 26. Mai, Seite 2071-2090 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:90 year:2020 number:9 day:26 month:05 pages:2071-2090 https://doi.org/10.1007/s00419-020-01709-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 90 2020 9 26 05 2071-2090 |
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10.1007/s00419-020-01709-z doi (DE-627)OLC2118520859 (DE-He213)s00419-020-01709-z-p DE-627 ger DE-627 rakwb eng 690 VZ Su, Jinpeng verfasserin aut Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. Curved beam Coupled beam system Modified variational method Vibration Zhang, Kun (orcid)0000-0001-7339-5056 aut Zhang, Qiang aut Tian, Ying aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 90(2020), 9 vom: 26. Mai, Seite 2071-2090 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:90 year:2020 number:9 day:26 month:05 pages:2071-2090 https://doi.org/10.1007/s00419-020-01709-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 90 2020 9 26 05 2071-2090 |
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Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces |
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| title_full |
Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces |
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Su, Jinpeng |
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Archive of applied mechanics |
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Archive of applied mechanics |
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eng |
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600 - Technology |
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2020 |
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2071 |
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Su, Jinpeng Zhang, Kun Zhang, Qiang Tian, Ying |
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90 |
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690 VZ |
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Aufsätze |
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Su, Jinpeng |
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10.1007/s00419-020-01709-z |
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(ORCID)0000-0001-7339-5056 |
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690 |
| title_sort |
vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces |
| title_auth |
Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces |
| abstract |
Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. © Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
| abstractGer |
Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. © Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
| abstract_unstemmed |
Abstract In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotational coupling) effects are included for the curved beam, the longitudinal vibration is also introduced to the energy functional for a straight Timoshenko beam. Using corresponding coordinate transformations, the Lagrange multiplier method and least-square weighted residual method are employed to impose the continuity constraints on the internal interfaces and boundaries among the straight and curved beams. The proposed method allows a flexible choice of the admissible functions and can be used for various combinations of the straight and curved beams to model corresponding engineering structures. Concentrated forces, uniformly distributed loads and space-dependent loads are considered to demonstrate great efficiency and accuracy of the present approach for the forced as well as the free vibration of the coupled system. Most of the present results are compared with those from finite element program ANSYS, and good agreement is observed. Influences of the EDs on the dynamic responses of the coupled system are also examined. © Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
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| title_short |
Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forces |
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https://doi.org/10.1007/s00419-020-01709-z |
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Zhang, Kun Zhang, Qiang Tian, Ying |
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