Free vibrations of thin elastic orthotropic cylindrical panel with hinge-mounted edge generator

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Using the system of equations corresponding to the classical theory of orthotropic cylindrical shells, the free vibrations of a thin elastic orthotropic cylindrical panel with hinge-mounted edge generator are investigated. To calculate the natural frequencies and to identify the respective natural modes, the generalized Kantorovich–Vlasov method of reduction to ordinary differential equations is used. Dispersion equations for finding the natural frequencies of possible types of vibrations are derived. An asymptotic relation between the dispersion equations of the problems at hand and the analogous problem for a rectangular plate is established. A mechanism is given by which possible types of edge oscillations are distinguished. As examples, the values of dimensionless characteristics of natural frequencies are derived for an orthotropic cylindrical panels.

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Sobre autores

G. Ghulghazaryan

Armenian State Pedagogical University

Autor responsável pela correspondência
Email: ghulghazaryangurgen08@aspu.am
Armênia, Yerevan

L. Ghulghazaryan

Armenian State Pedagogical University; Institute of Mechanics of NAS Armenia

Email: ghulghazaryanlusine08@aspu.am
Armênia, Yerevan; Yerevan

Bibliografia

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  17. Ghulghazaryan G.R., Ghulghazaryan L.G., Kudish I.I. Free vibrations of a thin elastic orthotropic cylindrical panel with free edges // Mech. of Compos. Mater., 2019, vol. 55(5), pp. 557–574. https://doi.org/10.1007/s11029-019-09834-9
  18. Ghulghazaryan G.R., Ghulghazaryan L.G. Free vibrations of thin elastic orthotropic cantilever cylindrical panel // in: Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering / ed. by Indeitsev D.A., Krivtsov A.M. Cham: Springer, 2022. pp. 441–462. https://doi.org/10.1007/978-3-030-92144-6_34
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  20. Ghulghazaryan G.R., Ghulghazaryan L.G. Free vibrations of thin elastic orthotropic cylindrical panel with rigid-clamped edge generator // ASPU after Kh. Abovyan. Sci. Bull., 2023, vol. 2, no. 45, pp. 46–72. https://doi.org/10.24234/scientific.v2i45.93

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2. Fig. 1. Cylindrical panel with generatrices orthogonal to the ends of the panel

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3. Fig. 2. Rectangular plate with a hinged side

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4. Application
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