On the theory of vibrating machines
- 1 — professor
- 2 — associate professor
- 3 — Ph.D.
Abstract
The work aims to find out quantitatively and qualitatively the main circumstances of motion of some vibrating machine intended for transportation and sorting of material, and both pre-resonance and post-resonance modes of operation of this machine are considered.The problem is reduced to integration of a system of linear differential equations with variable coefficients. Integration of the system is carried out by means of decomposition of unknown functions in series by powers of a small parameter.The obtained integrals make it possible to determine the frequencies of free oscillations of the material system under consideration, and hence the conditions of resonance. The totality of the obtained data makes it possible to calculate the strength of the vibrating parts of the structure and to give such ratios of parameters that allow to reduce the angular displacements of its two frames, which are undesirable in the proper functioning of the vibrating machine
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References
- Gursa E. Course of Mathematical Analysis, vol. III, pt. 1, Gostekhizdat, 1933.
- Leibenzon L.S. Course of the Theory of Elasticity, Gostekhizdat, 1947.