doi:
UDK: 629.12:539.433

MODEL AND ALGORITHM FOR ACCOUNTING FOR THE ROTATION OF AN UNBALANCED PROPELLER

Гежа Д. В., Мелконян А. Л.

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Article language: английский

Annotation

To obtain a mathematical model of the problem posed, a method developed by the authors for correcting the inertial-stiffness characteristics of the model and the external load was used. When implementing the method, the influence of the static and moment unbalance of the screw is taken into account automatically, and the possible mismatch between the moments of inertia of the masses relative to the transverse axes is taken into account by the method of successive approximations. If the forces causing vibration are inertial forces due to propeller imbalance, then their effect can be taken into account by the correction of the external load applied to the quasi-static model. In a fixed coordinate system, the action of such a force is equivalent to the application of a complex force; the action of the bending moment is taken into account in a similar way. For the created mathematical model, an algorithm for calculating vibration parameters was developed (based on a discrete version of the partial response method). A corresponding program for calculating vibration parameters (amplitude values of displacements, internal forces and support reactions) has been developed. Formulas are derived for the additional load that occurs in the case of a mismatch between the moments of inertia of the propeller masses relative to the transverse axes. A series of calculations has been performed, which made it possible to analyze the effect of static unbalance on natural frequencies, as well as on the amplitude of the transverse displacement, at a characteristic point. A series of calculations has been performed, which made it possible to evaluate the effect of the dynamic unbalance of the propeller on the parameters of rotation of the shafting of a real object.
Keywords: quasi-one-dimensional model, inertia-stiffness characteristics, partial responses, vibration parameters, propeller rotation

Bibliography

Александров В.Л., Матлах А.П., Поляков В.И. Борьба с вибрацией на судах. СПб. : Мор Вест, 2005, 421 с
Бидерман В.Л. Прикладная теория механических колебаний. М.: Высшая школа, 1972, 415 с
Давыдов В.В., Маттес Н.В. Динамические расчеты прочности судовых конструкций. Л.: Судостроение, 1974, 336 с
Диментберг Ф.М. Изгибные колебания вращающихся валов. М.: Изд-во Академии Наук СССР, 1959, 248 с
Чувиковский В.С. Численные методы расчетов в строительной механике корабля Л.: Судостроение, 1976, 374 с
Гежа Д.В., Мелконян А.Л., Николаев Д.А. Оценка влияния на параметры вибрации валопровода силы упора вращающегося гребного винта. СПб, Моринтех, №2(56), Т.2, С. 53-58
Мелконян А.Л., Николаев Д.А. Модификация инерционно-жесткостных характеристик модели как путь решения задач о ее установившихся колебаниях. СПб, Моринтех, №1(47) Т.3, С.12-19, 2020
http://www.d-nik.de PC-Welt (Эффективное решение. Расчет изогнутых балок и рам.). 30.03.2022


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