Numerical analysis of frequencies and forms of own collars of different forms with free zone

• Autorzy: Borysenko Maksym , Zavhorodnii Andrii , Skupskyi Ruslan

Identyfikatory

DOI

10.17512/jamcm.2019.1.01

• Języki publikacji: EN

Abstrakty

EN

Thin plates of three different forms with different physical-mechanical characteristics and free edges are examined in this work. Modeling of geometry and numerical calculation of frequencies and forms of free oscillation of plates is accomplished by the finite element method, which is realized using the licensed computer program FEMAP with the NASTRAN solver. A comparative analysis of the calculated eigenfrequencies is carried out. The dependence of the corresponding frequencies on the physical and mechanical characteristics of the material in the form of coefficients is established.

Słowa kluczowe

EN

plate; finite element method; FEMAP; eigenfrequencies; forms of proper; oscillations

PL

płyta; metoda elementów skończonych; Femap; częstotliwości własne; oscylacje; forma właściwa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2019
• Tom: Vol. 18, nr 1
• Strony: 5--13
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Borysenko Maksym

• S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine Kyiv, Ukraine

autor

Zavhorodnii Andrii

• Mykolayiv Inter-regional Institute of Human Development «University «Ukraine» Mykolayiv, Ukraine

autor

Skupskyi Ruslan

• Mykolayiv Inter-regional Institute of Human Development «University «Ukraine» Mykolayiv, Ukraine

Bibliografia

• [1] Meleshko, V.V., & Papkov, S.O. (2009). Bending oscillations of elastic rectangular plates with free edges: from Chladni (1809) and Ritz (1990) to the present day. Akustichny Visnik, 12, 4, 34-51.
• [2] Chladni, E.-F.-F. (1809). Trait´e d’acoustique. Paris: Courcier.
• [3] Ritz, W. (1909). Theorie der Transversalschwingungen einer quadratischen Platte mit freien R¨andern. Ann. Physik., 4, 28, 737-786.
• [4] Wang, C.Y. (2015). Vibrations of completely free rounded regular polygonal plates. International Journal of Acoustics and Vibration, 20, 2, 107-112.
• [5] Chernyshov, N.A. (2001). Viscoelastic vibrations of a triangular plate. Applied Mechanics and Technical Physics, 42, 3, 152-158.
• [6] Budak, V.D., Grigorenko, A.Ya., Borisenko, M.Yu., & Boychuk, E.V. (2016). Determination of eigenfrequencies of an elliptic shell with constant thickness by the finite-element method. Journal of Mathematical Sciences, 212, 2, 182-192.
• [7] Budak, V.D., Grigorenko, A.Ya., Borisenko, M.Yu., & Boychuk, E.V. (2017). Natural frequencies and modes of noncircular cylindrical shells with variable thickness. International Applied Mechanics, 53, 2, 164-172.
• [8] Grigorenko, A.Ya., Borisenko, M.Yu., Boichuk, E.V., & Prigoda, A.P. (2018). Numerical determination of natural frequencies and modes of the vibrations of a thick-walled cylindrical shell. International Applied Mechanics, 54, 1, 75-84.
• [9] Borisenko, M.Yu., Boychuk, O.V., Borisenko, I.A., Rogovtsov, U.O. (2016). Computer model design of thin plates of thin plates from other materials. Geometric Modeling and Information Technology Technologies, 2, 29-33.
• [10] Rudakov, K.N. (2011). FEMAP 10.2.0. Geometric and finite element modeling of structures. K.: NTUU “KPI”.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).