APPLICATION OF VARIATIONAL CALCULUS METHODS IN MECHANICAL ENGINEERING

Authors

  • Kirgizboeva Malohat Mamatkarim kizi Assistant of the Department of “Technological Machines and Labor Protection” Andijan State Technical Institute

Keywords:

Variational calculus, mechanical engineering, energy functional, optimization, Euler-Lagrange equation, finite element method, stress-strain state.

Abstract

This article investigates the role of variational calculus methods in the design and optimization of modern mechanical engineering structures. The research is based on the principle of minimizing energy functionals, which allows for more accurate modeling of the stress-strain state in components with complex geometries. The article examines the integration of Euler-Lagrange equations and the Rayleigh-Ritz method with Finite Element Analysis (FEA). The results demonstrate that the variational approach reduces computational errors compared to traditional methods and enables material savings of up to 18% while maintaining structural integrity.

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References

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Published

2026-04-30

How to Cite

Kirgizboeva Malohat Mamatkarim kizi. (2026). APPLICATION OF VARIATIONAL CALCULUS METHODS IN MECHANICAL ENGINEERING. Journal of Applied Science and Social Science, 16(4), 1325–1328. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/4223

Issue

Vol. 16 No. 4 (2026): Journal of Applied Science and Social Science

Section

Articles

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