Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях
The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pur...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dukart Adam Vilebal’dovich [verfasserIn] Pham Viet Ngoc [verfasserIn] Pham Thanh Binh [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch ; Russisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
In: Vestnik MGSU - Moscow State University of Civil Engineering (MGSU), 2013, (2013), 3, Seite 53-60 |
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| Übergeordnetes Werk: |
year:2013 ; number:3 ; pages:53-60 |
| Links: |
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DOAJ063393360 |
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| 245 | 1 | 0 | |a Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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| 520 | |a The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. | ||
| 650 | 4 | |a cantilever bar | |
| 650 | 4 | |a free oscillations | |
| 650 | 4 | |a vibration absorber | |
| 650 | 4 | |a initial conditions | |
| 650 | 4 | |a frequency-independent friction | |
| 650 | 4 | |a absorber tuning | |
| 650 | 4 | |a absorber damping | |
| 650 | 4 | |a transient motion | |
| 650 | 4 | |a консольный стержень | |
| 650 | 4 | |a свободные колебания | |
| 650 | 4 | |a гаситель ко- лебаний | |
| 650 | 4 | |a начальные условия | |
| 650 | 4 | |a частотно-независимое трение | |
| 650 | 4 | |a настройка гасителя | |
| 650 | 4 | |a демпфирование гасителя | |
| 650 | 4 | |a переходные режимы движения | |
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| 653 | 0 | |a Construction industry | |
| 700 | 0 | |a Pham Viet Ngoc |e verfasserin |4 aut | |
| 700 | 0 | |a Pham Thanh Binh |e verfasserin |4 aut | |
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(DE-627)DOAJ063393360 (DE-599)DOAJ555c864d17194ffab9bd6a957e8ec421 DE-627 ger DE-627 rakwb eng rus NA1-9428 HD9715-9717.5 Dukart Adam Vilebal’dovich verfasserin aut Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения Architecture Construction industry Pham Viet Ngoc verfasserin aut Pham Thanh Binh verfasserin aut In Vestnik MGSU Moscow State University of Civil Engineering (MGSU), 2013 (2013), 3, Seite 53-60 (DE-627)792409914 (DE-600)2781261-3 23046600 nnns year:2013 number:3 pages:53-60 https://doaj.org/article/555c864d17194ffab9bd6a957e8ec421 kostenfrei http://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/3/7.pdf kostenfrei https://doaj.org/toc/1997-0935 Journal toc kostenfrei https://doaj.org/toc/2304-6600 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4700 AR 2013 3 53-60 |
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(DE-627)DOAJ063393360 (DE-599)DOAJ555c864d17194ffab9bd6a957e8ec421 DE-627 ger DE-627 rakwb eng rus NA1-9428 HD9715-9717.5 Dukart Adam Vilebal’dovich verfasserin aut Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения Architecture Construction industry Pham Viet Ngoc verfasserin aut Pham Thanh Binh verfasserin aut In Vestnik MGSU Moscow State University of Civil Engineering (MGSU), 2013 (2013), 3, Seite 53-60 (DE-627)792409914 (DE-600)2781261-3 23046600 nnns year:2013 number:3 pages:53-60 https://doaj.org/article/555c864d17194ffab9bd6a957e8ec421 kostenfrei http://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/3/7.pdf kostenfrei https://doaj.org/toc/1997-0935 Journal toc kostenfrei https://doaj.org/toc/2304-6600 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4700 AR 2013 3 53-60 |
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(DE-627)DOAJ063393360 (DE-599)DOAJ555c864d17194ffab9bd6a957e8ec421 DE-627 ger DE-627 rakwb eng rus NA1-9428 HD9715-9717.5 Dukart Adam Vilebal’dovich verfasserin aut Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения Architecture Construction industry Pham Viet Ngoc verfasserin aut Pham Thanh Binh verfasserin aut In Vestnik MGSU Moscow State University of Civil Engineering (MGSU), 2013 (2013), 3, Seite 53-60 (DE-627)792409914 (DE-600)2781261-3 23046600 nnns year:2013 number:3 pages:53-60 https://doaj.org/article/555c864d17194ffab9bd6a957e8ec421 kostenfrei http://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/3/7.pdf kostenfrei https://doaj.org/toc/1997-0935 Journal toc kostenfrei https://doaj.org/toc/2304-6600 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4700 AR 2013 3 53-60 |
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(DE-627)DOAJ063393360 (DE-599)DOAJ555c864d17194ffab9bd6a957e8ec421 DE-627 ger DE-627 rakwb eng rus NA1-9428 HD9715-9717.5 Dukart Adam Vilebal’dovich verfasserin aut Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения Architecture Construction industry Pham Viet Ngoc verfasserin aut Pham Thanh Binh verfasserin aut In Vestnik MGSU Moscow State University of Civil Engineering (MGSU), 2013 (2013), 3, Seite 53-60 (DE-627)792409914 (DE-600)2781261-3 23046600 nnns year:2013 number:3 pages:53-60 https://doaj.org/article/555c864d17194ffab9bd6a957e8ec421 kostenfrei http://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/3/7.pdf kostenfrei https://doaj.org/toc/1997-0935 Journal toc kostenfrei https://doaj.org/toc/2304-6600 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4700 AR 2013 3 53-60 |
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(DE-627)DOAJ063393360 (DE-599)DOAJ555c864d17194ffab9bd6a957e8ec421 DE-627 ger DE-627 rakwb eng rus NA1-9428 HD9715-9717.5 Dukart Adam Vilebal’dovich verfasserin aut Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения Architecture Construction industry Pham Viet Ngoc verfasserin aut Pham Thanh Binh verfasserin aut In Vestnik MGSU Moscow State University of Civil Engineering (MGSU), 2013 (2013), 3, Seite 53-60 (DE-627)792409914 (DE-600)2781261-3 23046600 nnns year:2013 number:3 pages:53-60 https://doaj.org/article/555c864d17194ffab9bd6a957e8ec421 kostenfrei http://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/3/7.pdf kostenfrei https://doaj.org/toc/1997-0935 Journal toc kostenfrei https://doaj.org/toc/2304-6600 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4700 AR 2013 3 53-60 |
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Dukart Adam Vilebal’dovich misc NA1-9428 misc HD9715-9717.5 misc cantilever bar misc free oscillations misc vibration absorber misc initial conditions misc frequency-independent friction misc absorber tuning misc absorber damping misc transient motion misc консольный стержень misc свободные колебания misc гаситель ко- лебаний misc начальные условия misc частотно-независимое трение misc настройка гасителя misc демпфирование гасителя misc переходные режимы движения misc Architecture misc Construction industry Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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NA1-9428 HD9715-9717.5 Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях cantilever bar free oscillations vibration absorber initial conditions frequency-independent friction absorber tuning absorber damping transient motion консольный стержень свободные колебания гаситель ко- лебаний начальные условия частотно-независимое трение настройка гасителя демпфирование гасителя переходные режимы движения |
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misc NA1-9428 misc HD9715-9717.5 misc cantilever bar misc free oscillations misc vibration absorber misc initial conditions misc frequency-independent friction misc absorber tuning misc absorber damping misc transient motion misc консольный стержень misc свободные колебания misc гаситель ко- лебаний misc начальные условия misc частотно-независимое трение misc настройка гасителя misc демпфирование гасителя misc переходные режимы движения misc Architecture misc Construction industry |
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misc NA1-9428 misc HD9715-9717.5 misc cantilever bar misc free oscillations misc vibration absorber misc initial conditions misc frequency-independent friction misc absorber tuning misc absorber damping misc transient motion misc консольный стержень misc свободные колебания misc гаситель ко- лебаний misc начальные условия misc частотно-независимое трение misc настройка гасителя misc демпфирование гасителя misc переходные режимы движения misc Architecture misc Construction industry |
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Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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Dukart Adam Vilebal’dovich |
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Dukart Adam Vilebal’dovich Pham Viet Ngoc Pham Thanh Binh |
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Dukart Adam Vilebal’dovich |
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transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
| abstract |
The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. |
| abstractGer |
The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. |
| abstract_unstemmed |
The authors consider decaying flexural vibrations of a cantilever bar having a permanent cross section. The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. In addition, the impact of higher modes of vibrations on overall results is estimated.<br<Рассмотрены затухающие изгибные колебания консольного стержня постоянного сечения с сосредоточенной массой на свободном конце и присоединенным к ней осциллятором с трением при заданных начальных условиях. Принимается, что исходная система обладает непропорциональным трением, которое учитывается по гипотезе Е.С. Сорокина. Приведенные соотношения используются для анализа влияния параметров динамического и ударного гасителей на переходные режимы движения стержня и гасителя. |
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Transient vibrations of a cantilever bar with an attachedabsorber in case of pre-set initial conditions Переходные режимы колебаний консольного стержня с присоединенным гасителем при заданных начальных условиях |
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The mass is concentrated at the free end, and the impact absorber is attached to the mass. Initial conditions are pre-set by the authors. Properties of the bar and the damper are considered in pursuance of the Е.S. Sorokin theory of frequency independent friction whereby it is accepted that the initial system demonstrates disproportionate friction.The effect of impacts is assessed using the restitution coefficient. It is assumed that vibrations of the system are described by linear differential equalizations. The Fourier method of division of variables in combination with the method of initial parameters is employed, and motion of the mass of the bar and absorber is presented in an explicit form.The solution is used to study the system behaviour exposed to the instantaneous single impulse applied to the concentrated mass at the end of the bar. The influence of parameters of dynamic and impact absorbers onto transient vibrations of the system is studied. 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