Applying adjustment factors in Rayleigh method to calculate vibrations principal frequency of a shell with rectangular cross-section
DOI:
https://doi.org/10.21638/spbu01.2021.410Abstract
The applying of adjustment factors in Rayleigh method to calculate vibrations principal frequency of a shell with rectangular cross-section is considered in the paper. Behavior patterns of the adjustment factors are generalized. Relationship between the adjustment factors and properties of the approximate formulae is analyzed.Keywords:
vibrations, cylindrical shell, Rayleigh method, adjustment factor
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References
Литература
1. Filippov S.B., Haseganu E.M., Smirnov A.L. Free vibrations of square elastic tubes with a free end. Mechanics Research Communications 27, iss. 4, 457–464 (2000).
2. Дзебисашвили Г.Т. Колебания цилиндрических оболочек с квадратным поперечным сечением. В: Труды семинара «Компьютерные методы в механике сплошной среды» 2017–2018 г., 13–29. Санкт-Петербург, Изд-во С.-Петерб. ун-та (2019).
3. Амосов А.С. Колебания тонкойцилиндрическойоболочки с прямоугольным сечением. Вестник Санкт-Петербургского университета. Серия 1. Математика. Механика. Астрономия, вып. 1, 67–72 (2004).
4. Chen Yue Hua, Jin Guo Yong, Liu Zhi Gang. Free Vibration of a Thin Shell Structure of Rectangular Cross-section. Key Engineering Materials 486, 107–110 (2011). https://doi.org/10.4028/www.scientific.net/KEM.486.107
5. Dzebisashvili G.T., Filippov S.B. Vibrations of cylindrical shells with rectangular cross-section. Journal of Physics: Conference Series 1479, 012129 (2020). Доступно на: https://iopscience.iop.org/article/10.1088/1742-6596/1479/1/012129/pdf (дата обращения: 26.08.2021).
References
1. Filippov S.B., Haseganu E.M., Smirnov A.L. Free vibrations of square elastic tubes with a free end. Mechanics Research Communications 27, iss. 4, 457–464 (2000).
2. Dzebisashvili G.T. Free vibrations of cylindrical shells with the square cross-section. Trudy seminara “Compyuternye metody v mechanike sploshnoy sredy” 2017–2018, 13–29. St. Petersburg, St. Petersburg Univ. Press (2019). (In Russian)
3. Amosov A.S. Free vibrations of a thin rectangular elastic tube. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, iss. 1, 67–72 (2004). (In Russian)
4. Chen Yue Hua, Jin Guo Yong, Liu Zhi Gang. Free Vibration of a Thin Shell Structure of Rectangular Cross-section. Key Engineering Materials 486, 107–110 (2011). https://doi.org/10.4028/www.scientific.net/KEM.486.107
5. Dzebisashvili G.T., Filippov S.B. Vibrations of cylindrical shells with rectangular cross-section. Journal of Physics: Conference Series 1479, 012129 (2020). Available at: https://iopscience.iop.org/article/10.1088/1742-6596/1479/1/012129/pdf (accessed: August 26, 2021).
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Published
2022-01-04
How to Cite
Dzebisashvili, G. T. (2022). Applying adjustment factors in Rayleigh method to calculate vibrations principal frequency of a shell with rectangular cross-section. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8(4), 646–652. https://doi.org/10.21638/spbu01.2021.410
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Mechanics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
