Analytical solutions of supersonic flutter problems for laminated multilayered composite plates and cylindrical shells

• Autorzy: Flis Justyna , Muc Aleksander

Identyfikatory

DOI

10.21008/j.0860-6897.2020.3.05

• Języki publikacji: EN

Abstrakty

EN

For laminated rectangular plates and cylindrical shells the analytical, closed form solution is found using classical and first order transverse shear formulations of kinematical hypothesis. The analysis is carried out for a specific boundary conditions dealing with two opposite edges being simply supported. The evaluated method of solution can be treated as the benchmark for numerical analysis since analytical results can be obtained directly with the use of the symbolic packages, such as Mathematica, Maple or Matlab.

Słowa kluczowe

EN

flutter; multilayered laminated structures; plates; cylindrical shells

PL

flatter; wielowarstwowe struktury laminowane; płyty; powłoki cylindryczne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 3
• Strony: art. no. 2020305
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Flis Justyna

• Cracow University of Technology, Institute of Machine Design, al. Jana Pawła II 37, 31-864 Cracow, Poland

autor

Muc Aleksander

• Cracow University of Technology, Institute of Machine Design, al. Jana Pawła II 37, 31-864 Cracow, Poland

Bibliografia

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• 2. B. Kumar, D. De Remer, D. Marshall, An Illustrated Dictionary of Aviation, McGraw-Hill, New York 2005.
• 3. A. Srinivasan, Flutter and resonant vibration characteristics of engine blades, ASME J. Eng. Gas Turbine Power, 119 (1997) 742 - 775.
• 4. A. Muc, J. Flis, Closed form solutions - Analysis and optimal design of supersonic composite laminated flat plates considering mechanical and thermal effects, Comp. Structures, 230 (2019) 111491.
• 5. A. Muc, J. Flis, M. Augustyn, Optimal design of plated/shell structures under flutter constraints - a literature review, Materials, 12 (2019) 4215.
• 6. A. Muc, J. Flis, Free vibrations and supersonic flutter of multilayered laminated cylindrical panels, Comp. Structures, 246 (2020) 112400.
• 7. A. Muc, Natural frequencies of rectangular laminated plates- Introduction to optimal design in aeroelastic problems, Aerospace, 5(3) (2018) 95.
• 8. A. Muc, Non-local approach to free vibrations and buckling problems for cylindrical nano-structures, Comp. Structures, 250 (2020) 112541.
• 9. R. G. Kulkarni, Insert a root to extract a root of quintic quickly, Annales Mathematicae Silesianea, 33 (2019) 153-158.
• 10. R. G. Kulkarni, Solving sextic equations, Atlantic Electronic Journal of Mathematics, 3(1) (2008) 56-60.
• 11. R. G. Kulkarni, On the Solution to Octic Equations, The Montana Mathematics Enthusiast, 4(2) (2007) 193-209.
• 12. R. G. Kulkarni, On the Solution to Nonic Equations, Alabama Journal of Mathematics, (2008) 1-19.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).