M. Ganapathi et al., FIELD-CONSISTENT ELEMENT APPLIED TO FLUTTER ANALYSIS OF CIRCULAR CYLINDRICAL-SHELLS, Journal of sound and vibration, 171(4), 1994, pp. 509-527
Supersonic flutter analysis of laminated composite circular cylindrica
l shells is investigated by using an axisymmetric shell finite element
based on the field-consistency approach. The formulation includes tra
nsverse shear deformation and in-plane and rotary inertia effects. The
aerodynamic force is evaluated by considering the first order high Ma
ch number approximation to linear potential flow theory, The solution
for the complex eigenvalue problem is obtained by the QR algorithm. Nu
merical results are presented for isotropic, orthotropic and laminated
anisotropic circular cylindrical shells. A detailed parametric study
is carried out to observe the effects of aspect ratio, thickness, inte
rnal pressure, axial compression, number of layers and lamination sche
me on the flutter boundary.