Self-sustained Oscillations and Limit Cycles in Rayleigh System with Cubic Return Force

S. A. Kumakshev; Кумакшев С. А.

doi:10.31857/S0032823523050090

Self-sustained Oscillations and Limit Cycles in Rayleigh System with Cubic Return Force

Авторлар: Kumakshev S.¹
Мекемелер:
1. Ishlinsky Institute for Problems in Mechanics RAS
Шығарылым: Том 87, № 5 (2023)
Беттер: 765-772
Бөлім: Articles
URL: https://journals.rcsi.science/0032-8235/article/view/232508
DOI: https://doi.org/10.31857/S0032823523050090
EDN: https://elibrary.ru/QIZOZG
ID: 232508

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат
Рұқсат жабық

Рұқсат берілді
Рұқсат жабық

Тек жазылушылар үшін

Аннотация
Авторлар туралы
Әдебиет тізімі
Қосымша файлдар
Статистика

Аннотация

An oscillatory system with an excitation mechanism as in a Rayleigh oscillator, but with a nonlinear (cubic) returning force, is investigated. Using the accelerated convergence method and the continuation procedure for the parameter, limit cycles are constructed and the amplitudes and periods of self-oscillations are calculated. This is done for a wide range of feedback coefficient values, in which this coefficient is not asymptotically small or large. The proposed iterative procedure allows to achieve the specified accuracy of calculations. The analysis of the features of the limit cycle caused by an increase in the self-excitation coefficient is carried out. The results obtained are compared with the self-oscillations of a classical Rayleigh oscillator with a linear returning force.

Негізгі сөздер

self-oscillations, limit cycle, Rayleigh oscillator

Авторлар туралы

S. Kumakshev

Ishlinsky Institute for Problems in Mechanics RAS

Хат алмасуға жауапты Автор.
Email: kumak@ipmnet.ru
Russia, Moscow

Әдебиет тізімі

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Akulenko L.D., Korovina L.I., Kumakshev S.A., Nesterov S.V. Self-sustained oscillations of Rayleigh and Van der Pol oscillators with moderately large feedback factors // JAMM, 2004, vol. 68, no. 2, pp. 241–248.