Transverse shear effects in supersonic flutter problems for composite multilayered rectangular plates – Benchmark for numerical analysis

Abstract

To investigate the influence of transverse shear effects the present paper demonstrates the comparison of flutter characteristics for rectangular multilayered composite plates. The concise variational formulation is shown for various variants of the plate theories (classical, first order and higher order). The analytical, closed form solution is found 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.

Keywords

• Transverse shear effects
• Supersonic flutter
• Analytical solutions
• Multilayerd composites
• Rectangular plates