Stability of a Starling resistor type collapsible tube circuit is studied on the basis of one-dimensional distributed parameter model ignoring the effect of flow separation at the collapsed part of the tube. The governing equations are spatially discretized into 201 ordinary differential equations with respect to time. The stability of the circuit is examined by the characteristic equation of linearized governing equations. Transition of the stability with the flow rate is indicated as loci of the eigenvalues. The spatially discretized nonlinear equations are numerically solved by Runge-Kutta scheme and the theoretical amplitudes and frequencies of self-excited oscillations qualitativeIy agree well with experimental results.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME International Journal Series B Fluids and Thermal Engineering