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https://repo.btu.kharkov.ua//handle/123456789/11796| Title: | To the investigation of oscillations describing the generalized differential rayleigh equation |
| Authors: | Olshanskiy, V. P. Slipchenko, M. V. |
| Keywords: | quasilinear self-oscillations;generalized Rayleigh equation;energy balance method;numerical integration of the Cauchy problem |
| Issue Date: | 2020 |
| Publisher: | ХНТУСГ |
| Citation: | Olshanskiy V. P., Slipchenko M. V. To the investigation of oscillations describing the generalized differential rayleigh equation. Матеріали Міжнародної науково-практичної конференції "Експлуатаційна та сервісна інженерія": присвячена 90-річчю ХНТУСГ та 120 річниці з дня народження академіка П. М. Василенка, 15-16 жовтня 2020 р. Харків: ХНТУСГ, 2020. С. 11-12. |
| Abstract: | The study considers the motion of an oscillatory system with one degree of freedom, which is described by the generalized Rayleigh differential equation. The generalization is achieved by replacing the cubic term, which expresses the dissipative force in the equation of motion, with a power term with an arbitrary positive exponent. The method of energy balance is used to study the oscillatory process. With its help, an approximate differential equation of the envelope graph of the oscillatory process is compiled and its analytical solution is obtained, from which it follows that quasilinear frictional selfoscillations are possible only when the exponent is greater than one. |
| URI: | https://repo.btu.kharkov.ua//handle/123456789/11796 |
| Appears in Collections: | Матеріали Міжнародної науково-практичної конференції "Експлуатаційна та сервісна інженерія" |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Ekspluatatsiina ta servisna inzheneriia_2020_4.pdf | 378.45 kB | Adobe PDF | View/Open |
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