Geodesic
Study of the influence of thermal stresses for natural vibrations of plates
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 2, pp. 45-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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Studies have been carried out of the influence of temperature stresses on the frequencies of natural oscillations rectangular plates under different fastening conditions using analytical methods and computer modeling using the finite element method. It has been established that with increasing temperature the frequency of natural oscillations decreases. The presence of temperature stresses has significant influence on the change in oscillation frequency. The lowest ones undergo the greatest change frequencies. In addition, the shape of the vibrations changes with increasing temperature.
Keywords: temperature stress, deformation, plates, measuring equipment.
Mots-clés : fluctuations 
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A. V. Suslov; E. E. Yaroslavkina. Study of the influence of thermal stresses for natural vibrations of plates. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 2, pp. 45-53. http://geodesic.mathdoc.fr/item/VSGU_2024_30_2_a4/

[1] Tareq Al-hababi, Nizar Faisal Alkayem, Li Cui, Shixiang Zhang, Cong Liu and Maosen Cao, “The Coupled Effect of Temperature Changes and Damage Depth on Natural Frequencies in Beam-Like Structures”, Structural Durability Health Monitoring, 16:1 (2022), 15–35 | DOI

[2] Yanxia Cai, Kai Zhang, Zhoujing Ye, Chang Liu, Kaiji Lu and Linbing Wang, “Influence of Temperature on the Natural Vibration Characteristics of Simply Supported Reinforced Concrete Beam”, Sensors, 21:12 (2021), 4242 | DOI

[3] C. Haiegan, C.O. Hamat, C. Popescu, C. Cocar, “Study of Temperature Influence on the Eigen Frequencies of a Flat Rectangular Plate with all Edges Simply Supported”, Annals of the “Constantin Brancusi” University of Targu Jiu, Engineering Series, 2023, no. 4, 13–18 https://www.utgjiu.ro/rev_ing/pdf/2023-4/01_hatiegan.pdf

[4] Qian Geng, Huan Li, and Yueming Li, “Dynamic and Acoustic Response of a Clamped Rectangular Plate in Thermal Environments: Experiment and Numerical Simulation”, The Journal of Acoustical Society of America, 135:5, May (2014), 2674–2682 | DOI | MR

[5] Korenev B.G., Rabinovich I.M. (Eds.), Reference book on dynamics of structures, Stroiizdat, M., 1972, 511 pp. (In Russ.)

[6] Vainberg D.V., Vainberg E.D., Calculation of plates, 2nd edition, Budivel'nik, Kyiv, 1970, 436 pp. (In Russ.)

[7] Filippov A.P., Vibrations of elastic systems, Izd-vo Akad. nauk USSR, Kyiv, 1956, 322 pp. (In Russ.)

[8] Gontkevich V.S., Natural vibrations of plates and shells, handbook, ed. Philippov A.P., Naukova dumka, Kyiv, 1964, 288 pp. (In Russ.)

[9] Birger I.A., Panovko Ya.G. (Eds.), Strength, stability, fluctuations, Handbook, in three vols, v. 3, Mashinostroenie, M., 1986, 567 pp. (In Russ.)