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

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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.
Rocznik
Strony
art. no. 2020305
Opis fizyczny
Bibliogr. 12 poz., rys., wykr.
Twórcy
autor
  • Cracow University of Technology, Institute of Machine Design, al. Jana Pawła II 37, 31-864 Cracow, Poland
  • Cracow University of Technology, Institute of Machine Design, al. Jana Pawła II 37, 31-864 Cracow, Poland
Bibliografia
  • 1. E. Livne, T.A. Weisshaar, Aeroelasticity of nonconventional airplane configurations past and future, J. Aircr., 40 (2003) 1047 - 1065.
  • 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).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b9c4d9d7-769e-433d-a445-1703ad5b686e
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