Oscillations at Nonlinear Parametric Excitation, Limited Power-Supply and Delay

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Alifov A. A., FƏRZƏLİYEV M.

Lecture Notes on Data Engineering and Communications Technologies, vol.181, pp.682-689, 2023 (Scopus)

• Nəşrin Növü: Article / Abstract
• Cild: 181
• Nəşr tarixi: 2023
• Doi nömrəsi: 10.1007/978-3-031-36118-0_61
• jurnalın adı: Lecture Notes on Data Engineering and Communications Technologies
• Jurnalın baxıldığı indekslər: Scopus
• Səhifə sayı: pp.682-689
• Açar sözlər: Delay, Direct linearization, Energy source, Limited power, Method, Nonlinearity, Oscillations, Parametric excitation
• Adres: Bəli

Qısa məlumat

The work is devoted to the development of the theory of oscillatory systems with limited power-supply, the relevance of which has increased due to energy and environmental problems. A system with an energy source of limited power and a time delay in the elastic force under the action of nonlinear parametric excitation is considered. On the basis of the direct linearization method, the linearization of the nonlinear elastic force is carried out, the equations of unsteady motions are obtained. Stationary modes and their stability are considered. Using the Routh-Hurwitz criteria, the stability conditions of stationary oscillations are obtained. To obtain information about the effect of lag on stationary modes of motion, calculations were performed. The obtained graphical results clearly show the influence of nonlinear parametric excitation on the dynamics of the system in the presence of a delay in the elastic force. Depending on the value of the delay, different features appear in the dynamics of oscillations and their stability. The curves shift in amplitude and frequency, and a rather significant shift appears in the case of a nonlinear elastic force.