DERIVATION OF DIFFERENTIAL EQUATIONS FOR SPINDLE OSCILLATION IN A SYSTEM OF RECTANGULAR COORDINATES

DERIVATION OF DIFFERENTIAL EQUATIONS FOR SPINDLE OSCILLATION IN A SYSTEM OF RECTANGULAR COORDINATES

Authors

  • Anvarjon Isomiddinov Namangan State Technical University

DOI:

https://doi.org/10.61151/stjniet.v10i4.937

Keywords:

displacement, deformation, variational principle, variations in kinetic and potential energies, variation in the work of an external force, mathematical model, boundary value problem, system of partial differential equations, boundary and initial conditions

Abstract

This article develops mathematical models for the deformation of structural elements such as rods under spatially dynamic loading. The resulting vibration equations are described by systems of second-order partial differential equations with natural boundary and initial conditions.

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Published

2025-12-30

How to Cite

Isomiddinov, A. (2025). DERIVATION OF DIFFERENTIAL EQUATIONS FOR SPINDLE OSCILLATION IN A SYSTEM OF RECTANGULAR COORDINATES. Scientific and Technical Journal of Namangan Institute of Engineering and Technology, 10(4), 200–208. https://doi.org/10.61151/stjniet.v10i4.937

Issue

Vol. 10 No. 4 (2025): Scientific and Technical Journal Namangan Institute of Engineering and Technology

Section

Articles