Refining the results of numerical calculations of the frequencies of transverse vibrations of a rod of variable cross-section with elastic fixation by extrapolation method

Authors

  • Pavlov Victor Pavlovich Ufa University of Science and Technology
  • Nusratullina Liliya Rinatovna Ufa University of Science and Technology
  • Nusratullin Eduard Marsovich Ufa University of Science and Technology

Keywords:

rods of variable cross-section, natural oscillation frequencies, rod characteristics, extrapolation methods

Abstract

The article describes a numerical experiment with the results of calculating the natural frequencies of transverse vibrations of a rod of variable cross-section with elastic fixation at one of the ends. The possibility of refining by extrapolation the calculated values of natural frequencies obtained by the method of algebraic polynomials of the fifth degree is analyzed. It is shown that ex-trapolation made it possible to increase the accuracy of calculations by the numerical method by 2-3 orders of magnitude

Author Biographies

Pavlov Victor Pavlovich, Ufa University of Science and Technology

The article describes a numerical experiment with the results of calculating the natural frequencies of transverse vibrations of a rod of variable cross-section with elastic fixation at one of the ends. The possibility of refining by extrapolation the calculated values of natural frequencies obtained by the method of algebraic polynomials of the fifth degree is analyzed. It is shown that ex-trapolation made it possible to increase the accuracy of calculations by the numerical method by 2-3 orders of magnitude

Nusratullina Liliya Rinatovna, Ufa University of Science and Technology

Senior Lecturer at the Department of Artificial Intelligence and Advanced Mathematical Research. Dipl. of specialist in mathematics (BSU, 2003)

Nusratullin Eduard Marsovich, Ufa University of Science and Technology

Associate Professor at the Department of Artificial Intelligence and Advanced Mathematical Research, Dipl. of specialist in mathematics (BSU, 2004)

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Published

2023-10-10

Issue

Vol. 27 No. 3 (101) (2023)

Section

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