A method for describing large rotations with a combination of axial and transverse Euler vectors
| Autor: | F. D. Sorokin, Hao Zhang |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Conservation law Materials Science (miscellaneous) Dynamics (mechanics) Mathematical analysis 02 engineering and technology Critical value Rotation 01 natural sciences Industrial and Manufacturing Engineering symbols.namesake Transverse plane 020303 mechanical engineering & transports 0203 mechanical engineering 0103 physical sciences Euler's formula symbols Order (group theory) Business and International Management 010301 acoustics Rotor (mathematics) |
| Zdroj: | Vibroengineering PROCEDIA. 18:201-206 |
| ISSN: | 2538-8479 2345-0533 |
| DOI: | 10.21595/vp.2018.19911 |
| Popis: | In order to overcome the problem of “singular points”, a method has been developed for the kinematically accurate separation of a large rotation into an axial Euler vector and a transverse Euler vector. The proposal is based on the fact that in the problems of the rotor dynamics of machines consisting of shafts, gears, bearings, etc., the transverse rotation never reaches a value of 2π (a critical value for the Euler vector). The axial rotation is not limited in any way. A numerical dynamics example illustrating the method is presented. The result of the dynamics problem is checked by observing the law of conservation of total energy. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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