Abstract
Stability of a Starling resistor type collapsible tube circuit is studied on the basis of onedimensional 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 according to variation of the flow rate is indicated as root 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 qualitatively agree well with experimental results.
| Original language | English |
|---|---|
| Pages (from-to) | 1055-1062 |
| Number of pages | 8 |
| Journal | Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |
| Volume | 64 |
| Issue number | 620 |
| DOIs | |
| Publication status | Published - 1998 Apr |
| Externally published | Yes |
Keywords
- Characteristic equation
- Collapsible tube
- Numerical analysis
- Root locus
- Self-excited oscillation
- Stability
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering