Volume 11, Issue 1
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian & Roderick V. N. Melnik

Adv. Appl. Math. Mech., 11 (2019), pp. 38-52.

Published online: 0426-08

Preview Full PDF 410 1625
Export citation
  • Abstract

Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the harmonic balance method. The nonlinear normal modes are constructed by the invariant manifold method on the state space and a numerical iterative approach is adopted to obtain numerical solutions, in which two types of initial conditions for the modal coefficients are employed. The results show that both initial conditions can lead to fast convergence. The frequency-amplitude responses with some modal motions in phase space are obtained by the present iterative method. Quadrature phase difference and traveling waves are found in the time-domain complex modal analysis.

  • Keywords

Gyroscopic continua pipes conveying pulsating fluid parametric vibration nonlinear normal modes iterative approach.

  • AMS Subject Headings

70K28 70K75 39B12

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard