He's variational approach to multiple coupled nonlinear oscillators

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10 Citations (Scopus)


In this paper, He's variational approach is extended to investigate coupled nonlinear multi-degree-offreedom (mdof) oscillatory systems. A mass-spring system with nonlinear stiffness is considered as an example and approximate amplitude-frequency relations for 2-DOF and 3-DOF nonlinear systems are obtained.

Original languageEnglish
Pages (from-to)859-865
Number of pages7
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Issue number10
Publication statusPublished - Oct 2010


  • Mass-spring system
  • Multi-degree-of-freedom
  • Multiple coupled nonlinear oscillators
  • Variational approach


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