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

Flis Justyna, Muc Aleksander

Vibrations in Physical Systems

2020

Vol. 31, nr 3

art. no. 2020305

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.