Nonlinear and Chaotic Dynamics of a Two-Degree-of-Freedom Analytical Model for a Rotated Triangular Array in Cross-Flow
✍ Scribed by M.P. Paı̈doussis; S.J. Price; W.N. Mureithi
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 832 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0889-9746
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✦ Synopsis
The response of a heat exchanger tube, under the excitation of an experimentally determined nonlinear fluid force field, has been simulated via a two-degree-of-freedom analytical model for a rotated triangular array of cylinders ( (P / D=1 \cdot 375) ) using an explicit time integration algorithm. After the onset of self-excited oscillation, limit-cycle amplitudes were found to increase approximately linearly with flow velocity for large values of the reduced mass-damping parameter. The existence of multi-instability regions has been confirmed for low values of the mass-damping parameter. Complex tube dynamics are predicted due to the nonlinearities introduced by impact/sliding at a loose support. Periodic motion has been found over a significant portion of the parameter range studied. Nevertheless, chaotic response, where the tube is most of the time in sliding contact with the support, occurs eventually, following a succession of stable periodic states.