Oscillations in a nonlinear spring mechanism with one degree of freedom
A new method for studying dynamics in a nonlinear spring- loaded mechanism is described, which consists in describing a spring as an elastic solid rod with conditional density and elastic modulus. When studying vibrations in such a rod, instead of the well-known second-order differential equation, t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://www.matec-conferences.org/articles/matecconf/pdf/2020/25/matecconf_icmtmte2020_03002.pdf |
| _version_ | 1818691994465075200 |
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| author | Kondratenko Leonid Mironova Lubov |
| author_facet | Kondratenko Leonid Mironova Lubov |
| author_sort | Kondratenko Leonid |
| collection | DOAJ |
| description | A new method for studying dynamics in a nonlinear spring- loaded mechanism is described, which consists in describing a spring as an elastic solid rod with conditional density and elastic modulus. When studying vibrations in such a rod, instead of the well-known second-order differential equation, two derived first-order equations are used that relate the acceleration and gradient of speed to the velocity and gradient of the change in the voltage of the particles of a given body. The frequency characteristic of the linear mechanism is given. The behavior of the mechanism in the presence of significant nonlinearity is considered. The self-oscillation parameters are determined that make it possible to estimate the design life. |
| first_indexed | 2024-12-17T12:50:44Z |
| format | Article |
| id | doaj.art-e1d7a83850394738aa65bf5b81f9ffa3 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-17T12:50:44Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-e1d7a83850394738aa65bf5b81f9ffa32022-12-21T21:47:37ZengEDP SciencesMATEC Web of Conferences2261-236X2020-01-013290300210.1051/matecconf/202032903002matecconf_icmtmte2020_03002Oscillations in a nonlinear spring mechanism with one degree of freedomKondratenko LeonidMironova LubovA new method for studying dynamics in a nonlinear spring- loaded mechanism is described, which consists in describing a spring as an elastic solid rod with conditional density and elastic modulus. When studying vibrations in such a rod, instead of the well-known second-order differential equation, two derived first-order equations are used that relate the acceleration and gradient of speed to the velocity and gradient of the change in the voltage of the particles of a given body. The frequency characteristic of the linear mechanism is given. The behavior of the mechanism in the presence of significant nonlinearity is considered. The self-oscillation parameters are determined that make it possible to estimate the design life.https://www.matec-conferences.org/articles/matecconf/pdf/2020/25/matecconf_icmtmte2020_03002.pdf |
| spellingShingle | Kondratenko Leonid Mironova Lubov Oscillations in a nonlinear spring mechanism with one degree of freedom MATEC Web of Conferences |
| title | Oscillations in a nonlinear spring mechanism with one degree of freedom |
| title_full | Oscillations in a nonlinear spring mechanism with one degree of freedom |
| title_fullStr | Oscillations in a nonlinear spring mechanism with one degree of freedom |
| title_full_unstemmed | Oscillations in a nonlinear spring mechanism with one degree of freedom |
| title_short | Oscillations in a nonlinear spring mechanism with one degree of freedom |
| title_sort | oscillations in a nonlinear spring mechanism with one degree of freedom |
| url | https://www.matec-conferences.org/articles/matecconf/pdf/2020/25/matecconf_icmtmte2020_03002.pdf |
| work_keys_str_mv | AT kondratenkoleonid oscillationsinanonlinearspringmechanismwithonedegreeoffreedom AT mironovalubov oscillationsinanonlinearspringmechanismwithonedegreeoffreedom |