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- Title
2∶1 内共振下超临界输流管道的强迫振动.
- Authors
王则; 耿佳; 李满枝
- Abstract
Pipes with high-velocity flow are widely used in aerospace engines and other fields. In order to understand its dynamical response characteristics under supercritical velocity of flow, the motion equation of supercritical fluid conveying pipe based on coordinate transformation method was established. Galerkin truncation method was used to discrete the motion equation into nonlinear ordinary differential equation. The nonlinear dynamical response of the system with 2∶ 1 internal resonance was solved by the incremental harmonic balance method. The stability and bifurcation behavior of the system response were studied by the Floquet theory, and the quasiperiodic response of the system was simulated by the numerical integration method. The results show that when the system has 2∶1 internal resonance, the system response occurs asymmetric double jump phenomenon. Moreover, 2∶1 internal resonance leads to the transfer of energy between the modes, resulting in saddle node bifurcation and Hopf bifurcation of the system, resulting in quasi-periodic behavior of the system response. The analysis of the influence of system parameters on the response shows that increasing damping and reducing excitation amplitude reduce the possibility of quasi-periodic response of the system. It can be seen that 2∶1 internal resonance is an important factor affecting the dynamic characteristics of the fluid transmission pipeline. Therefore, 2∶1 internal resonance of the system should be avoided in the design. The quasi-periodic response of the system can be reduced by increasing damping or reducing excitation.
- Publication
Science Technology & Engineering, 2023, Vol 23, Issue 35, p14916
- ISSN
1671-1815
- Publication type
Article