0
Technical Brief

Forced response analysis of pipes conveying fluid by nonlinear normal modes method and iterative approach

[+] Author and Article Information
Feng Liang

School of Energy and Power Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China; College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China
lf84411@163.com

Xiao-Dong Yang

College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China
jxdyang@163.com

Y. -J. Qian

College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China
candiceqyj@163.com

Wei Zhang

College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China
sandyzhang0@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4037594 History: Received December 18, 2016; Revised August 02, 2017

Abstract

The forced vibration of gyroscopic continua is investigated by taking the pipes conveying fluid as an example. The nonlinear normal modes and a numerical iterative approach are used to perform numerical response analysis. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by using the harmonic balance method. Based on the pseudo-autonomous system, the nonlinear normal modes are constructed by the invariant manifold method on the state space and substituted back into the original discrete equations. By repeating the above steps, the dynamics responses can be numerically obtained asymptotically using such iterative approach. Quadrature phase difference between the general coordinates is verified for the gyroscopic system and traveling waves instead of standing waves are found in the time-domain complex modal analysis.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In