Michael P. Paidoussis, Martin Ostoja-Starzewski

Research output: Contribution to journalConference articlepeer-review


This paper examines the dynamics of a flexible cylinder with pinned ends, immersed in axial subsonic flow, either bounded or unconfined. The problem proves to be surprisingly resistant to exact solution, as compared to the incompressible flow case, because of difficulties in determining precisely the inviscid aerodynamic forces. This paper presents distinct formulations of these forces, involving different approximations: a slender-body approximation; an approximate three-dimensional formulation, where, in the determination of the aerodynamic forces, the axial mode shape is prescribed in advance; an ″exact″ integral formulation of the generalized aerodynamic forces. In each case, Galerkin-type solutions yield the system eigenfrequencies which describe the dynamical behavior of the system. It is found that, for sufficiently high flow velocities, divergence and flutter are possible. Dependence of the dynamical characteristics on Mach number is shown to be weak, for slender cylinders; for non-slender ones, it is stronger.

Original languageEnglish (US)
Pages (from-to)352-361
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Issue numberPt 2, and
StatePublished - 1981
Externally publishedYes
EventAIAA Dyn Spec Conf - Atlanta, Ga
Duration: Apr 6 1981Apr 10 1981

ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering


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