FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES
Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of...
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| Autor*in: |
H. P. Kulterbaev [verfasserIn] I. M. Abdul-Salam [verfasserIn] M. M. Payzulaev [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Russisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
In: Вестник Дагестанского государственного технического университета: Технические науки - Dagestan State Technical University, 2017, 45(2019), 3, Seite 8-17 |
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| Übergeordnetes Werk: |
volume:45 ; year:2019 ; number:3 ; pages:8-17 |
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Link aufrufen |
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| DOI / URN: |
10.21822/2073-6185-2018-45-3-8-17 |
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| Katalog-ID: |
DOAJ084720492 |
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| 520 | |a Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. | ||
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10.21822/2073-6185-2018-45-3-8-17 doi (DE-627)DOAJ084720492 (DE-599)DOAJf27808cc70504852a0b8fe874fd23189 DE-627 ger DE-627 rakwb rus H. P. Kulterbaev verfasserin aut FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. продольные колебания свободные колебания дискретные массы демпфирование колебаний метод конечных разностей Technology T I. M. Abdul-Salam verfasserin aut M. M. Payzulaev verfasserin aut In Вестник Дагестанского государственного технического университета: Технические науки Dagestan State Technical University, 2017 45(2019), 3, Seite 8-17 (DE-627)1760606111 2542095X nnns volume:45 year:2019 number:3 pages:8-17 https://doi.org/10.21822/2073-6185-2018-45-3-8-17 kostenfrei https://doaj.org/article/f27808cc70504852a0b8fe874fd23189 kostenfrei https://vestnik.dgtu.ru/jour/article/view/586 kostenfrei https://doaj.org/toc/2073-6185 Journal toc kostenfrei https://doaj.org/toc/2542-095X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 45 2019 3 8-17 |
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10.21822/2073-6185-2018-45-3-8-17 doi (DE-627)DOAJ084720492 (DE-599)DOAJf27808cc70504852a0b8fe874fd23189 DE-627 ger DE-627 rakwb rus H. P. Kulterbaev verfasserin aut FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. продольные колебания свободные колебания дискретные массы демпфирование колебаний метод конечных разностей Technology T I. M. Abdul-Salam verfasserin aut M. M. Payzulaev verfasserin aut In Вестник Дагестанского государственного технического университета: Технические науки Dagestan State Technical University, 2017 45(2019), 3, Seite 8-17 (DE-627)1760606111 2542095X nnns volume:45 year:2019 number:3 pages:8-17 https://doi.org/10.21822/2073-6185-2018-45-3-8-17 kostenfrei https://doaj.org/article/f27808cc70504852a0b8fe874fd23189 kostenfrei https://vestnik.dgtu.ru/jour/article/view/586 kostenfrei https://doaj.org/toc/2073-6185 Journal toc kostenfrei https://doaj.org/toc/2542-095X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 45 2019 3 8-17 |
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10.21822/2073-6185-2018-45-3-8-17 doi (DE-627)DOAJ084720492 (DE-599)DOAJf27808cc70504852a0b8fe874fd23189 DE-627 ger DE-627 rakwb rus H. P. Kulterbaev verfasserin aut FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. продольные колебания свободные колебания дискретные массы демпфирование колебаний метод конечных разностей Technology T I. M. Abdul-Salam verfasserin aut M. M. Payzulaev verfasserin aut In Вестник Дагестанского государственного технического университета: Технические науки Dagestan State Technical University, 2017 45(2019), 3, Seite 8-17 (DE-627)1760606111 2542095X nnns volume:45 year:2019 number:3 pages:8-17 https://doi.org/10.21822/2073-6185-2018-45-3-8-17 kostenfrei https://doaj.org/article/f27808cc70504852a0b8fe874fd23189 kostenfrei https://vestnik.dgtu.ru/jour/article/view/586 kostenfrei https://doaj.org/toc/2073-6185 Journal toc kostenfrei https://doaj.org/toc/2542-095X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 45 2019 3 8-17 |
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Вестник Дагестанского государственного технического университета: Технические науки |
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FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES |
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FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES |
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H. P. Kulterbaev |
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Вестник Дагестанского государственного технического университета: Технические науки |
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H. P. Kulterbaev I. M. Abdul-Salam M. M. Payzulaev |
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Elektronische Aufsätze |
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H. P. Kulterbaev |
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10.21822/2073-6185-2018-45-3-8-17 |
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free longitudinal vibrations of a vertical rod with discrete masses with damping forces |
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FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES |
| abstract |
Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. |
| abstractGer |
Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. |
| abstract_unstemmed |
Objectives. The longitudinal oscillations of a vertical rod of a continually discrete system with kinematic seismic disturbances in the form of a stationary random process are considered.Method. A method for determining the variance of the output process of displacements, using the representation of the input random process as a sum of harmonic deterministic perturbations, is proposed and implemented.Result. The dependence function of the dispersion of displacements on the longitudinal coordinate is determined. Longitudinal vibrations of vertical rods near the epicenter of earthquakes are dangerous for their strength and stability. The methods of finite differences and coordinate descent allow you to create universal algorithms and computer programs that easily solve complex spectral problems.Conclusion. To date, research on random vibrations of buildings and structures, as well as regulatory documents, has been devoted to horizontal seismic effects and transverse bending vibrations caused by them. Examples indicate the need to expand the scope of research with the inclusion of other types of vibrations: combinations of longitudinal with transverse, angular, torsional, parametric, etc. This design can be easily adapted to vibrations of rods of variable cross section, to vibrations of continually discrete rods. |
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FREE LONGITUDINAL VIBRATIONS OF A VERTICAL ROD WITH DISCRETE MASSES WITH DAMPING FORCES |
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https://doi.org/10.21822/2073-6185-2018-45-3-8-17 https://doaj.org/article/f27808cc70504852a0b8fe874fd23189 https://vestnik.dgtu.ru/jour/article/view/586 https://doaj.org/toc/2073-6185 https://doaj.org/toc/2542-095X |
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