doi:
UDK: 629.12:539.433

ACCOUNTING FOR SHAFTING ROTATION WITH SEVERAL ROTATING ELEMENTS

Гежа Д. В., Боборыкина Н. Д., Мелконян А. Л.
Article language: английский

Annotation

To obtain a mathematical model of the problem, we used the approach developed by the authors to take into account the rotation of the disk. When implementing the method, the disk rotation is taken into account by introducing an additional load in the form of gyroscopic moments due to rotation. To develop an algorithm for solving the problem, a discrete version of the partial response method developed by V. S. Chuvikovskii was used. According to the developed algorithm, a calculation program was written, which is a modification of the previously created Rahmen program. The updated program allows you to quickly and clearly from a unified position (using graphical representations familiar when calculating beams) to obtain vibration parameters (distribution along the axis of the shafting of the amplitudes of linear and angular displacements, internal forces and support reactions) when solving the problem of steady-state forced vibrations of the shafting, with a massive disk at the end rotating at a constant angular velocity. Accounting for the rotation of a massive disk at one of the ends in the developed program is performed automatically when calculating the vibration parameters of the modified model. A series of calculations was performed using the analytical method, using the Ansys software package, as well as a series of calculations using the developed program. A comparative analysis of three solutions was carried out, an assessment of the efficiency and effectiveness of the developed program and method was carried out. Keywords: mathematical model, disk rotation, critical speeds, forced vibrations, shafting.

Bibliography

1. Alexandrov V.L., Matlakh A.P., Polyakov V.I. [Vibration control on ships], SPb, MorVest,
2005, p. 421. (In Russ.).
2. Biderman V.L. [Applied theory of mechanical vibrations] M.: Visshaya shkola, 1972, 415 p.
(In Russ.).
3. Davidov V.V., Mattes N.V. [Dynamic strength calculations of ship structures], L.: Sudostroenie, 1974, 336 p. (In Russ.).
4. Dimentberg F.M. [Bending vibrations of rotating shafts], M.: AN SSSR, 1959, 248 p. (In Russ.).
5. Chuvikovsky V.S. [Numerical methods in the structural mechanics of a ship]. L, Sudostroenie, 1976, 374 p. (In Russ.).
6. Gezha D.V., Melkonyan A.L., Nikolaev D.A. [Evaluation of the impact on the vibration parameters of the shafting of the stop force of the rotating propeller]. Morintech, No. 2 (56),
vol. 2, pp. 53–58. (In Russ.).
7. Grizodubov V.B., Manukhin V.A. [Solving problems of rotor dynamics in ANSYS], Proceedings
of the St. Petersburg State Marine Technical University, 2014, No. 1, pp. 50–58. (In Russ.).
8. Melkonyan A.L., Nikolaev D.A. [Quasi-one-dimensional models for the analysis of vibration parameters of a ship’s hull at the early stages of its design]. Morintekh, 2019, No. 2 (44),
vol. 1, pp. 45–51. (In Russ.).
9. Melkonian A.L., Nikolaev D.A. [Modification of the inertial-stiffness characteristics of the
model as a way to solve problem of its steady-state oscillation], Morintex, 2020, № 1 (47),
vol. 3, pp. 12–20. (In Russ.).
10. http://www.d-nik.de PC-Welt [Effective solution for curved beams and frames]). 30.03.2022.
(In Russ.)