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Advances in Mathematical Physics
Volume 2017, Article ID 5214616, 8 pages
https://doi.org/10.1155/2017/5214616
Research Article

The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam

1College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004, China
2College of Mathematics, Xiamen University of Technology, Xiamen 361024, China
3College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

Correspondence should be addressed to Y. H. Qian; nc.unjz@4002hyq

Received 2 October 2016; Revised 21 February 2017; Accepted 20 March 2017; Published 10 April 2017

Academic Editor: Zhi-Yuan Sun

Copyright © 2017 Y. H. Qian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Hai-En Du, Guo-Kang Er, and Vai Pan Iu, “A Novel Method to Improve the Multiple-Scales Solution of the Forced Nonlinear Oscillators,” International Journal of Computational Methods, pp. 1843010, 2018. View at Publisher · View at Google Scholar
  • Y. H. Qian, and D. M. Yan, “Fast–Slow Dynamics Analysis of a Coupled Duffing System with Periodic Excitation,” International Journal of Bifurcation and Chaos, vol. 28, no. 12, pp. 1850148, 2018. View at Publisher · View at Google Scholar
  • Yiu-yin Lee, “Modified residue harmonic balance solution for coupled integrable dispersionless equations with disturbance terms,” Journal of Zhejiang University-SCIENCE A, vol. 20, no. 4, pp. 300–304, 2019. View at Publisher · View at Google Scholar