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Applying Adjustment Factors in the Rayleigh Method to Calculate the Principal Frequency of the Vibrations of a Shell with a Rectangular Cross Section

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Abstract

The application of adjustment factors in the Rayleigh method to calculate the principal frequency of the vibrations of a shell with a rectangular cross section is considered in this paper. The behavior patterns of the adjustment factors are generalized. The relationship between the adjustment factors and properties of the approximate formulas is analyzed.

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  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    G. T. Dzebisashvili

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  1. G. T. Dzebisashvili
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Correspondence to G. T. Dzebisashvili.

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To cite this work: Dzebisashvili G.T., “Applying adjustment factors in Rayleigh method to calculate the principal frequency of the vibrations of a shell with a rectangular cross section,” Vestnik of St. Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8(66), no. 4, рр. 646–652. (In Russian). https://doi.org/10.21638/spbu01.2021.410.

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Translated by E. Seifina

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Dzebisashvili, G.T. Applying Adjustment Factors in the Rayleigh Method to Calculate the Principal Frequency of the Vibrations of a Shell with a Rectangular Cross Section. Vestnik St.Petersb. Univ.Math. 54, 400–404 (2021). https://doi.org/10.1134/S1063454121040063

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  • DOI: https://doi.org/10.1134/S1063454121040063

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