An asymmetric model two-dimensional oscillator

We present a novel 2D oscillator with an asymmetric design and investigate its stable vibration utilizing the Ms-DTM method. Initially, we obtain the equations of motion for the proposed system. Subsequently, by employing Taylor expansion of s i n h z and c o s h z , the derived nonlinear equations...

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Bibliographic Details
Published in:	Journal of low frequency noise, vibration, and active control Vol. 43; no. 2; pp. 744 - 754
Main Authors:	Rath, B, Erturk, VS, Asad, Jihad, Mallick, P, Jarrar, Rabab
Format:	Journal Article
Language:	English
Published:	London, England SAGE Publications 01-06-2024 Sage Publications Ltd SAGE Publishing
Subjects:	Asymmetry Eigenvalues Eigenvectors Equations of motion Nonlinear equations Nonlinear systems Oscillators Taylor series matrix method Asymmetric oscillator stable vibration two-dimensional system
Online Access:	Get full text
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Summary:	We present a novel 2D oscillator with an asymmetric design and investigate its stable vibration utilizing the Ms-DTM method. Initially, we obtain the equations of motion for the proposed system. Subsequently, by employing Taylor expansion of s i n h z and c o s h z , the derived nonlinear equations are transformed into linear ones, which we solve analytically using the eigenvalues-eigenfunctions technique. Additionally, we solve the obtained nonlinear system using the Ms-DTM method. Lastly, we examine the stability of the nonlinear system by visualizing the closed nature of the phase portrait.
ISSN:	1461-3484 2048-4046
DOI:	10.1177/14613484241228749