SOLVING THE EQUATION OF VIBRATION OF A LATTICE USING THE METHOD OF SEPARATION OF VARIABLES (FOURIER METHOD)

Authors

  • Doniyor G’afurovich Rayimov PhD, Associate Professor, Department of General Technical Sciences, Asia International University

DOI:

https://doi.org/10.55640/

Keywords:

nonlinear oscillations, rigid body, vibration, Lagrange equations, viscoelastic support, degree of freedom

Abstract

 This paper examines the nonlinear oscillations of a rigid body mounted on viscoelastic supports. The equations of motion of the system are derived from Lagrange’s equations of the second kind for systems with a finite number of degrees of freedom. A solution method for the problem is developed, numerical results are obtained, and the influence of nonlinearity on displacement amplitudes is evaluated.

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References

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Published

2025-11-11

Issue

Vol. 4 No. 10 (2025): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

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Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

SOLVING THE EQUATION OF VIBRATION OF A LATTICE USING THE METHOD OF SEPARATION OF VARIABLES (FOURIER METHOD). (2025). Journal of Multidisciplinary Sciences and Innovations, 4(10), 491-494. https://doi.org/10.55640/

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