Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity
Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoull...
Ausführliche Beschreibung
Autor*in: |
Wang, L. H. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2008 |
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Anmerkung: |
© Springer-Verlag 2008 |
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Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 206(2008), 3-4 vom: 09. Okt., Seite 149-161 |
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Übergeordnetes Werk: |
volume:206 ; year:2008 ; number:3-4 ; day:09 ; month:10 ; pages:149-161 |
Links: |
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DOI / URN: |
10.1007/s00707-008-0104-9 |
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Katalog-ID: |
OLC2030132217 |
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520 | |a Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. | ||
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10.1007/s00707-008-0104-9 doi (DE-627)OLC2030132217 (DE-He213)s00707-008-0104-9-p DE-627 ger DE-627 rakwb eng 530 VZ Wang, L. H. verfasserin aut Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. Timoshenko Beam Nonlinear Vibration Transverse Vibration Viscoelastic Beam Axial Acceleration Hu, Z. D. aut Zhong, Z. aut Ju, J. W. aut Enthalten in Acta mechanica Springer Vienna, 1965 206(2008), 3-4 vom: 09. Okt., Seite 149-161 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:206 year:2008 number:3-4 day:09 month:10 pages:149-161 https://doi.org/10.1007/s00707-008-0104-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 206 2008 3-4 09 10 149-161 |
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10.1007/s00707-008-0104-9 doi (DE-627)OLC2030132217 (DE-He213)s00707-008-0104-9-p DE-627 ger DE-627 rakwb eng 530 VZ Wang, L. H. verfasserin aut Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. Timoshenko Beam Nonlinear Vibration Transverse Vibration Viscoelastic Beam Axial Acceleration Hu, Z. D. aut Zhong, Z. aut Ju, J. W. aut Enthalten in Acta mechanica Springer Vienna, 1965 206(2008), 3-4 vom: 09. Okt., Seite 149-161 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:206 year:2008 number:3-4 day:09 month:10 pages:149-161 https://doi.org/10.1007/s00707-008-0104-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 206 2008 3-4 09 10 149-161 |
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10.1007/s00707-008-0104-9 doi (DE-627)OLC2030132217 (DE-He213)s00707-008-0104-9-p DE-627 ger DE-627 rakwb eng 530 VZ Wang, L. H. verfasserin aut Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. Timoshenko Beam Nonlinear Vibration Transverse Vibration Viscoelastic Beam Axial Acceleration Hu, Z. D. aut Zhong, Z. aut Ju, J. W. aut Enthalten in Acta mechanica Springer Vienna, 1965 206(2008), 3-4 vom: 09. Okt., Seite 149-161 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:206 year:2008 number:3-4 day:09 month:10 pages:149-161 https://doi.org/10.1007/s00707-008-0104-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 206 2008 3-4 09 10 149-161 |
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10.1007/s00707-008-0104-9 doi (DE-627)OLC2030132217 (DE-He213)s00707-008-0104-9-p DE-627 ger DE-627 rakwb eng 530 VZ Wang, L. H. verfasserin aut Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. Timoshenko Beam Nonlinear Vibration Transverse Vibration Viscoelastic Beam Axial Acceleration Hu, Z. D. aut Zhong, Z. aut Ju, J. W. aut Enthalten in Acta mechanica Springer Vienna, 1965 206(2008), 3-4 vom: 09. Okt., Seite 149-161 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:206 year:2008 number:3-4 day:09 month:10 pages:149-161 https://doi.org/10.1007/s00707-008-0104-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 206 2008 3-4 09 10 149-161 |
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10.1007/s00707-008-0104-9 doi (DE-627)OLC2030132217 (DE-He213)s00707-008-0104-9-p DE-627 ger DE-627 rakwb eng 530 VZ Wang, L. H. verfasserin aut Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. Timoshenko Beam Nonlinear Vibration Transverse Vibration Viscoelastic Beam Axial Acceleration Hu, Z. D. aut Zhong, Z. aut Ju, J. W. aut Enthalten in Acta mechanica Springer Vienna, 1965 206(2008), 3-4 vom: 09. Okt., Seite 149-161 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:206 year:2008 number:3-4 day:09 month:10 pages:149-161 https://doi.org/10.1007/s00707-008-0104-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2409 GBV_ILN_4700 AR 206 2008 3-4 09 10 149-161 |
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abstract |
Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. © Springer-Verlag 2008 |
abstractGer |
Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. © Springer-Verlag 2008 |
abstract_unstemmed |
Abstract A dynamic analysis is presented for an axially translating cantilever beam simulating the spacecraft antenna featuring time-variant velocity. The extended Hamilton’s principle is employed to formulate the governing partial differential equations of motion for an axially translating Bernoulli–Euler beam. Further, the assumed modes method and the separation of variables are utilized to solve the resulting equation of motion. Attention is focused on assessing the coupling effects between the axial translation motion and the flexural deformation during the beam extension or retraction operations upon the vibratory motion of a beam with an arbitrarily varying length under a prescribed time-variant velocity field. A number of numerical simulations are also presented to illustrate the qualitative features of the underlying mechanical vibration of an axially extending or contracting flexible beam. In general, the transverse beam vibration is stabilized during extension and unstabilized during retraction. The axial acceleration of a translating beam does not affect the transverse vibratory system stabilization. © Springer-Verlag 2008 |
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title_short |
Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity |
url |
https://doi.org/10.1007/s00707-008-0104-9 |
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author2 |
Hu, Z. D. Zhong, Z. Ju, J. W. |
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up_date |
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