Stability of Timoshenko beams conveying a compressible fluid

Technical Report · Sat Dec 01 04:00:00 EST 1984

OSTI ID:5599720

Johnson, R O

The purpose of this study is to formulate and solve the stability problem associated with the equations of motion of a Timoshenko beam conveying a compressible fluid. The beam is assumed to be either cantilevered or simply supported. Shear deformation and rotary inertia are considered in the Timoshenko beam theory. The beam analysis that is carried out is quite general and allows for viscous damping external to the tube as well as both internal strain rate and hysteretic damping. Interactions between these three damping mechanisms, shear deformation, and rotary inertia are also accounted for. The compressible, isentropic flow through the tube is governed by Euler's equations of motion. Gravitational effects are neglected in the analysis. This is equivalent to assuming that the tube is horizontal. The motion of the fluid is coupled to that of the beam by a compatibility condition at the tube wall which requires that they vibrate together. 132 refs., 39 figs., 13 tabs.

• Research Organization: Oak Ridge Gaseous Diffusion Plant, TN (USA)
• DOE Contract Number: AC05-84OT21400
• OSTI ID: 5599720
• Report Number(s): K/TS-11-516; ON: DE85013096
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DATA
FLOW MODELS
FLUID FLOW
FLUID MECHANICS
INCOMPRESSIBLE FLOW
INFORMATION
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL DATA
NUMERICAL SOLUTION
PERTURBATION THEORY
THEORETICAL DATA
TUBES