Static and dynamic instability of panels and cylindrical shells in subsonic potential flow

✍ Scribed by A. Kornecki

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 562 KB
• Volume: 32
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80168-9

✦ Synopsis

It is proved that cylindrical shells and two dimensional flat panels constrained to zero displacement at their leading and trailing edges, and exposed to subsonic flow, can lose their stability by divergence (buckling) while in supersonic flow two-dimensional panels can only flutter.

Moreover, it is proved that in incompressible flow flutter can only occur--if at all-above the critical divergence velocity.

The proofs are based on a qualitative analysis of the expressions for generalized aerodynamic forces derived in references [I]-[3], and on the assumptions that linearization of the stability problem is admissible and that Galerkin's method is convergent.