Analytical analysis of the vibration protection system of a human operator
The task of mathematical description and study of vibration isolation systems for seats of mobile machine operators is relevant, since operators of many construction, road and other mobile machines are exposed to significant vibration effects. An original analytical solution was proposed for the dif...
| Main Authors: | , , |
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| Format: | Article |
| Language: | deu |
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Academician I.G. Petrovskii Bryansk State University
2023-06-01
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| Series: | Naučno-Tehničeskij Vestnik Brânskogo Gosudarstvennogo Universiteta |
| Subjects: | |
| Online Access: | https://ntv-brgu.ru/wp-content/arhiv/2023-N2/2023-02-03.pdf |
| _version_ | 1797785305859751936 |
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| author | M.S. Korytov V.S. Sherbakov I.E. Kashapova |
| author_facet | M.S. Korytov V.S. Sherbakov I.E. Kashapova |
| author_sort | M.S. Korytov |
| collection | DOAJ |
| description | The task of mathematical description and study of vibration isolation systems for seats of mobile machine operators is relevant, since operators of many construction, road and other mobile machines are exposed to significant vibration effects. An original analytical solution was proposed for the differential equation of forced oscillations of a linear oscillator with kinematic excitation, which describes the vertical oscillations of the seat with the operator, for given sinusoidal oscillations of the seat base. Analytical differentiation in time of the expression for the absolute displacement of the vibration-protected mass of the seat with the operator made it possible to obtain an analytical expression for the absolute velocity of the mass, the simplification of which made it possible to obtain a compact expression for the first and then the zero derivative of the absolute coordinate in the steady state oscillation mode. From the expression for the absolute displacement of the vibration-protected mass using a trigonometric transformation, an analytical expression for its amplitude was obtained, from which, in turn, an analytical expression for the transmission coefficient of the vibration protection system was obtained. The equation based on the analytical expression of the derivative of the transfer coefficient with respect to the circular frequency was solved analytically, which made it possible to obtain analytical expressions for the resonant amplitude of absolute displacements and the transfer coefficient. Examples of functional dependencies obtained using the derived analytical expressions are given. The obtained analytical expressions make it possible to conduct studies of vibration protection systems of seats with maximum accuracy. |
| first_indexed | 2024-03-13T00:52:12Z |
| format | Article |
| id | doaj.art-647fa53faa324973bca0269cfe73c8eb |
| institution | Directory Open Access Journal |
| issn | 2413-9920 |
| language | deu |
| last_indexed | 2024-03-13T00:52:12Z |
| publishDate | 2023-06-01 |
| publisher | Academician I.G. Petrovskii Bryansk State University |
| record_format | Article |
| series | Naučno-Tehničeskij Vestnik Brânskogo Gosudarstvennogo Universiteta |
| spelling | doaj.art-647fa53faa324973bca0269cfe73c8eb2023-07-07T11:23:25ZdeuAcademician I.G. Petrovskii Bryansk State UniversityNaučno-Tehničeskij Vestnik Brânskogo Gosudarstvennogo Universiteta2413-99202023-06-019214515810.22281/2413-9920-2023-09-02-145-158Analytical analysis of the vibration protection system of a human operatorM.S. Korytov0V.S. Sherbakov 1I.E. Kashapova 2 Siberian State-Impact Automobile and Road University Siberian State-Impact Automobile and Road University Siberian State-Impact Automobile and Road UniversityThe task of mathematical description and study of vibration isolation systems for seats of mobile machine operators is relevant, since operators of many construction, road and other mobile machines are exposed to significant vibration effects. An original analytical solution was proposed for the differential equation of forced oscillations of a linear oscillator with kinematic excitation, which describes the vertical oscillations of the seat with the operator, for given sinusoidal oscillations of the seat base. Analytical differentiation in time of the expression for the absolute displacement of the vibration-protected mass of the seat with the operator made it possible to obtain an analytical expression for the absolute velocity of the mass, the simplification of which made it possible to obtain a compact expression for the first and then the zero derivative of the absolute coordinate in the steady state oscillation mode. From the expression for the absolute displacement of the vibration-protected mass using a trigonometric transformation, an analytical expression for its amplitude was obtained, from which, in turn, an analytical expression for the transmission coefficient of the vibration protection system was obtained. The equation based on the analytical expression of the derivative of the transfer coefficient with respect to the circular frequency was solved analytically, which made it possible to obtain analytical expressions for the resonant amplitude of absolute displacements and the transfer coefficient. Examples of functional dependencies obtained using the derived analytical expressions are given. The obtained analytical expressions make it possible to conduct studies of vibration protection systems of seats with maximum accuracy.https://ntv-brgu.ru/wp-content/arhiv/2023-N2/2023-02-03.pdfibrationsvibration protectionkinematic excitation. |
| spellingShingle | M.S. Korytov V.S. Sherbakov I.E. Kashapova Analytical analysis of the vibration protection system of a human operator Naučno-Tehničeskij Vestnik Brânskogo Gosudarstvennogo Universiteta ibrations vibration protection kinematic excitation. |
| title | Analytical analysis of the vibration protection system of a human operator |
| title_full | Analytical analysis of the vibration protection system of a human operator |
| title_fullStr | Analytical analysis of the vibration protection system of a human operator |
| title_full_unstemmed | Analytical analysis of the vibration protection system of a human operator |
| title_short | Analytical analysis of the vibration protection system of a human operator |
| title_sort | analytical analysis of the vibration protection system of a human operator |
| topic | ibrations vibration protection kinematic excitation. |
| url | https://ntv-brgu.ru/wp-content/arhiv/2023-N2/2023-02-03.pdf |
| work_keys_str_mv | AT mskorytov analyticalanalysisofthevibrationprotectionsystemofahumanoperator AT vssherbakov analyticalanalysisofthevibrationprotectionsystemofahumanoperator AT iekashapova analyticalanalysisofthevibrationprotectionsystemofahumanoperator |