Article

Numerical implementation of spectral problems for non-self-adjoint operators

Inom MadjidovNational University of Uzbekistan named after Mirzo Ulugbek, University St. 2, Tashkent, UzbekistanNurbek KholmanovNational University of Uzbekistan named after Mirzo Ulugbek, University St. 2, Tashkent, UzbekistanYokubjonov DilshodNational University of Uzbekistan named after Mirzo Ulugbek, University St. 2, Tashkent, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In engineering applications for determining natural frequencies during vibrations and critical forces in stability problems, an important place is occupied by the numerical implementation of spectral problems.In this paper, we propose a numerical approach to solving the differential problem in spectral problems for non-self-adjoint operators.As an example, the problem of determining critical compressive forces and torques in rods is considered.

Topics

Geotechnical and Geomechanical Engineering Elasticity and Wave Propagation Heat Transfer and Mathematical Modeling

Identifiers

DOI: 10.1063/5.0214886

Citations and references

Cited by 02 references

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