The work examines vibrations of the Archimedes spiral. Differential equations of motion are integrated using the asymptotic method. To do this, the basic partial differential equations are reduced to ordinary differential equations with variable coefficients. The viscoelastic properties of materials are taken into account using complex elastic moduli. The construction of asymptotic expansions for eigenfunctions and eigenfrequencies corresponding to both types of oscillations of a repeatedly twisted flat spiral spring with fixed ends is presented. A technique has been developed for obtaining asymptotic resolving equations over a large range of changes in the variable φ and the corresponding boundary conditions. The solution is obtained in the form of series.
| Mualliflar | Рузиев Т.Р |
|---|---|
| Jurnal | Таълим ва инновацион тадқиқотлар |
| Nashr sanasi | 2025-01-04 |
| Son | 5 |
| Betlar | 300-304 |
| Til | Rus |
спирали Архимеда, обыкновенные дифференциальные уравнения, вязкоупругие свойства, смещения, Archimedes’ spirals, ordinary differential equations, viscoelastic properties, displacements
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